Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:05
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
NCream BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.22

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: NCream
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 13258.378 1 13258.378 454.760 .000
Error 204.083 7 29.155(a)

Productname Hypothesis 32.314 8 4.039 1.632 .137
Error 138.609 56 2.475(b)

Panellist Hypothesis 204.083 7 29.155 11.904 .000
Error 144.895 59.161 2.449(c)

Productname * Panellist Hypothesis 138.609 56 2.475 1.390 .057
Error 299.093 168 1.780(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: NCream
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 7.400 .272 6.862 7.938
24%' 7.394 .272 6.856 7.931
33%' 7.750 .272 7.212 8.288
A-Pr 7.250 .193 6.870 7.630
B-Pr 7.100 .272 6.562 7.638
C-CH 7.950 .272 7.412 8.488
D-CH 8.094 .272 7.556 8.631
P 7.400 .272 6.862 7.938
P+Ar 8.188 .272 7.650 8.725

2. Panellist
Dependent Variable: NCream
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 6.378 .250 5.885 6.870
2 8.122 .250 7.630 8.615
3 8.733 .250 8.241 9.226
4 6.122 .250 5.630 6.615
5 7.986 .250 7.493 8.479
6 8.689 .250 8.196 9.182
7 6.931 .250 6.438 7.423
8 7.950 .250 7.457 8.443

3. Productname * Panellist
Dependent Variable: NCream
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 5.850 .770 4.329 7.371
2 8.250 .770 6.729 9.771
3 7.750 .770 6.229 9.271
4 5.350 .770 3.829 6.871
5 8.200 .770 6.679 9.721
6 8.550 .770 7.029 10.071
7 7.450 .770 5.929 8.971
8 7.800 .770 6.279 9.321
24%' 1 5.800 .770 4.279 7.321
2 7.950 .770 6.429 9.471
3 8.750 .770 7.229 10.271
4 8.950 .770 7.429 10.471
5 8.150 .770 6.629 9.671
6 8.000 .770 6.479 9.521
7 5.000 .770 3.479 6.521
8 6.550 .770 5.029 8.071
33%' 1 7.450 .770 5.929 8.971
2 9.150 .770 7.629 10.671
3 8.100 .770 6.579 9.621
4 5.350 .770 3.829 6.871
5 7.900 .770 6.379 9.421
6 8.800 .770 7.279 10.321
7 7.350 .770 5.829 8.871
8 7.900 .770 6.379 9.421
A-Pr 1 5.950 .545 4.875 7.025
2 6.300 .545 5.225 7.375
3 8.850 .545 7.775 9.925
4 4.300 .545 3.225 5.375
5 7.775 .545 6.700 8.850
6 9.700 .545 8.625 10.775
7 7.625 .545 6.550 8.700
8 7.500 .545 6.425 8.575
B-Pr 1 6.350 .770 4.829 7.871
2 6.950 .770 5.429 8.471
3 7.900 .770 6.379 9.421
4 5.000 .770 3.479 6.521
5 8.650 .770 7.129 10.171
6 7.700 .770 6.179 9.221
7 6.850 .770 5.329 8.371
8 7.400 .770 5.879 8.921
C-CH 1 6.750 .770 5.229 8.271
2 8.700 .770 7.179 10.221
3 9.050 .770 7.529 10.571
4 5.550 .770 4.029 7.071
5 7.700 .770 6.179 9.221
6 9.150 .770 7.629 10.671
7 7.500 .770 5.979 9.021
8 9.200 .770 7.679 10.721
D-CH 1 6.900 .770 5.379 8.421
2 8.050 .770 6.529 9.571
3 9.650 .770 8.129 11.171
4 7.950 .770 6.429 9.471
5 7.800 .770 6.279 9.321
6 8.900 .770 7.379 10.421
7 7.500 .770 5.979 9.021
8 8.000 .770 6.479 9.521
P 1 5.800 .770 4.279 7.321
2 9.200 .770 7.679 10.721
3 8.750 .770 7.229 10.271
4 5.900 .770 4.379 7.421
5 7.550 .770 6.029 9.071
6 8.300 .770 6.779 9.821
7 6.150 .770 4.629 7.671
8 7.550 .770 6.029 9.071
P+Ar 1 6.550 .770 5.029 8.071
2 8.550 .770 7.029 10.071
3 9.800 .770 8.279 11.321
4 6.750 .770 5.229 8.271
5 8.150 .770 6.629 9.671
6 9.100 .770 7.579 10.621
7 6.950 .770 5.429 8.471
8 9.650 .770 8.129 11.171

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: NCream

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' .0063 .38517 .987 -.7542 .7667
33%' -.3500 .38517 .365 -1.1104 .4104
A-Pr .1500 .33357 .654 -.5085 .8085
B-Pr .3000 .38517 .437 -.4604 1.0604
C-CH -.5500 .38517 .155 -1.3104 .2104
D-CH -.6938 .38517 .073 -1.4542 .0667
P .0000 .38517 1.000 -.7604 .7604
P+Ar -.7875(*) .38517 .042 -1.5479 -.0271
24%' 16%' -.0063 .38517 .987 -.7667 .7542
33%' -.3563 .38517 .356 -1.1167 .4042
A-Pr .1438 .33357 .667 -.5148 .8023
B-Pr .2938 .38517 .447 -.4667 1.0542
C-CH -.5563 .38517 .151 -1.3167 .2042
D-CH -.7000 .38517 .071 -1.4604 .0604
P -.0063 .38517 .987 -.7667 .7542
P+Ar -.7938(*) .38517 .041 -1.5542 -.0333
33%' 16%' .3500 .38517 .365 -.4104 1.1104
24%' .3563 .38517 .356 -.4042 1.1167
A-Pr .5000 .33357 .136 -.1585 1.1585
B-Pr .6500 .38517 .093 -.1104 1.4104
C-CH -.2000 .38517 .604 -.9604 .5604
D-CH -.3438 .38517 .373 -1.1042 .4167
P .3500 .38517 .365 -.4104 1.1104
P+Ar -.4375 .38517 .258 -1.1979 .3229
A-Pr 16%' -.1500 .33357 .654 -.8085 .5085
24%' -.1438 .33357 .667 -.8023 .5148
33%' -.5000 .33357 .136 -1.1585 .1585
B-Pr .1500 .33357 .654 -.5085 .8085
C-CH -.7000(*) .33357 .037 -1.3585 -.0415
D-CH -.8438(*) .33357 .012 -1.5023 -.1852
P -.1500 .33357 .654 -.8085 .5085
P+Ar -.9375(*) .33357 .006 -1.5960 -.2790
B-Pr 16%' -.3000 .38517 .437 -1.0604 .4604
24%' -.2938 .38517 .447 -1.0542 .4667
33%' -.6500 .38517 .093 -1.4104 .1104
A-Pr -.1500 .33357 .654 -.8085 .5085
C-CH -.8500(*) .38517 .029 -1.6104 -.0896
D-CH -.9938(*) .38517 .011 -1.7542 -.2333
P -.3000 .38517 .437 -1.0604 .4604
P+Ar -1.0875(*) .38517 .005 -1.8479 -.3271
C-CH 16%' .5500 .38517 .155 -.2104 1.3104
24%' .5563 .38517 .151 -.2042 1.3167
33%' .2000 .38517 .604 -.5604 .9604
A-Pr .7000(*) .33357 .037 .0415 1.3585
B-Pr .8500(*) .38517 .029 .0896 1.6104
D-CH -.1438 .38517 .709 -.9042 .6167
P .5500 .38517 .155 -.2104 1.3104
P+Ar -.2375 .38517 .538 -.9979 .5229
D-CH 16%' .6938 .38517 .073 -.0667 1.4542
24%' .7000 .38517 .071 -.0604 1.4604
33%' .3438 .38517 .373 -.4167 1.1042
A-Pr .8438(*) .33357 .012 .1852 1.5023
B-Pr .9938(*) .38517 .011 .2333 1.7542
C-CH .1438 .38517 .709 -.6167 .9042
P .6938 .38517 .073 -.0667 1.4542
P+Ar -.0938 .38517 .808 -.8542 .6667
P 16%' .0000 .38517 1.000 -.7604 .7604
24%' .0063 .38517 .987 -.7542 .7667
33%' -.3500 .38517 .365 -1.1104 .4104
A-Pr .1500 .33357 .654 -.5085 .8085
B-Pr .3000 .38517 .437 -.4604 1.0604
C-CH -.5500 .38517 .155 -1.3104 .2104
D-CH -.6938 .38517 .073 -1.4542 .0667
P+Ar -.7875(*) .38517 .042 -1.5479 -.0271
P+Ar 16%' .7875(*) .38517 .042 .0271 1.5479
24%' .7938(*) .38517 .041 .0333 1.5542
33%' .4375 .38517 .258 -.3229 1.1979
A-Pr .9375(*) .33357 .006 .2790 1.5960
B-Pr 1.0875(*) .38517 .005 .3271 1.8479
C-CH .2375 .38517 .538 -.5229 .9979
D-CH .0938 .38517 .808 -.6667 .8542
P .7875(*) .38517 .042 .0271 1.5479
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

NCream

Productname N Subset
1
Tukey B(a,b,c) B-Pr 24 7.1000
A-Pr 48 7.2500
24%' 24 7.3938
16%' 24 7.4000
P 24 7.4000
33%' 24 7.7500
C-CH 24 7.9500
D-CH 24 8.0938
P+Ar 24 8.1875
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.780.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:05
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
NAcidic BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.12

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: NAcidic
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 15071.075 1 15071.075 466.838 .000
Error 225.983 7 32.283(a)

Productname Hypothesis 32.985 8 4.123 2.148 .046
Error 107.516 56 1.920(b)

Panellist Hypothesis 225.983 7 32.283 16.798 .000
Error 116.337 60.532 1.922(c)

Productname * Panellist Hypothesis 107.516 56 1.920 .973 .535
Error 331.399 168 1.973(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: NAcidic
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 7.950 .287 7.384 8.516
24%' 8.163 .287 7.597 8.728
33%' 8.050 .287 7.484 8.616
A-Pr 8.847 .203 8.447 9.247
B-Pr 7.794 .287 7.228 8.360
C-CH 8.450 .287 7.884 9.016
D-CH 7.981 .287 7.415 8.547
P 7.988 .287 7.422 8.553
P+Ar 7.838 .287 7.272 8.403

2. Panellist
Dependent Variable: NAcidic
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 7.442 .263 6.923 7.960
2 7.883 .263 7.365 8.402
3 10.197 .263 9.679 10.716
4 8.708 .263 8.190 9.227
5 8.114 .263 7.595 8.632
6 7.811 .263 7.293 8.330
7 8.281 .263 7.762 8.799
8 6.506 .263 5.987 7.024

3. Productname * Panellist
Dependent Variable: NAcidic
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 7.000 .811 5.399 8.601
2 7.100 .811 5.499 8.701
3 10.250 .811 8.649 11.851
4 8.800 .811 7.199 10.401
5 8.350 .811 6.749 9.951
6 6.400 .811 4.799 8.001
7 9.000 .811 7.399 10.601
8 6.700 .811 5.099 8.301
24%' 1 7.350 .811 5.749 8.951
2 7.550 .811 5.949 9.151
3 10.950 .811 9.349 12.551
4 8.050 .811 6.449 9.651
5 8.400 .811 6.799 10.001
6 7.000 .811 5.399 8.601
7 8.650 .811 7.049 10.251
8 7.350 .811 5.749 8.951
33%' 1 7.100 .811 5.499 8.701
2 7.750 .811 6.149 9.351
3 10.050 .811 8.449 11.651
4 9.950 .811 8.349 11.551
5 7.900 .811 6.299 9.501
6 7.950 .811 6.349 9.551
7 8.200 .811 6.599 9.801
8 5.500 .811 3.899 7.101
A-Pr 1 7.525 .573 6.393 8.657
2 9.550 .573 8.418 10.682
3 10.525 .573 9.393 11.657
4 10.225 .573 9.093 11.357
5 8.475 .573 7.343 9.607
6 8.150 .573 7.018 9.282
7 9.525 .573 8.393 10.657
8 6.800 .573 5.668 7.932
B-Pr 1 8.250 .811 6.649 9.851
2 9.450 .811 7.849 11.051
3 9.700 .811 8.099 11.301
4 7.350 .811 5.749 8.951
5 7.700 .811 6.099 9.301
6 7.250 .811 5.649 8.851
7 7.000 .811 5.399 8.601
8 5.650 .811 4.049 7.251
C-CH 1 7.300 .811 5.699 8.901
2 8.600 .811 6.999 10.201
3 10.050 .811 8.449 11.651
4 9.350 .811 7.749 10.951
5 9.150 .811 7.549 10.751
6 8.600 .811 6.999 10.201
7 8.350 .811 6.749 9.951
8 6.200 .811 4.599 7.801
D-CH 1 7.300 .811 5.699 8.901
2 6.800 .811 5.199 8.401
3 9.950 .811 8.349 11.551
4 7.600 .811 5.999 9.201
5 7.950 .811 6.349 9.551
6 8.950 .811 7.349 10.551
7 8.750 .811 7.149 10.351
8 6.550 .811 4.949 8.151
P 1 7.750 .811 6.149 9.351
2 6.600 .811 4.999 8.201
3 10.200 .811 8.599 11.801
4 9.800 .811 8.199 11.401
5 6.950 .811 5.349 8.551
6 7.750 .811 6.149 9.351
7 8.300 .811 6.699 9.901
8 6.550 .811 4.949 8.151
P+Ar 1 7.400 .811 5.799 9.001
2 7.550 .811 5.949 9.151
3 10.100 .811 8.499 11.701
4 7.250 .811 5.649 8.851
5 8.150 .811 6.549 9.751
6 8.250 .811 6.649 9.851
7 6.750 .811 5.149 8.351
8 7.250 .811 5.649 8.851

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: NAcidic

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.2125 .40544 .601 -1.0129 .5879
33%' -.1000 .40544 .805 -.9004 .7004
A-Pr -.8969(*) .35112 .012 -1.5901 -.2037
B-Pr .1563 .40544 .700 -.6442 .9567
C-CH -.5000 .40544 .219 -1.3004 .3004
D-CH -.0313 .40544 .939 -.8317 .7692
P -.0375 .40544 .926 -.8379 .7629
P+Ar .1125 .40544 .782 -.6879 .9129
24%' 16%' .2125 .40544 .601 -.5879 1.0129
33%' .1125 .40544 .782 -.6879 .9129
A-Pr -.6844 .35112 .053 -1.3776 .0088
B-Pr .3688 .40544 .364 -.4317 1.1692
C-CH -.2875 .40544 .479 -1.0879 .5129
D-CH .1813 .40544 .655 -.6192 .9817
P .1750 .40544 .667 -.6254 .9754
P+Ar .3250 .40544 .424 -.4754 1.1254
33%' 16%' .1000 .40544 .805 -.7004 .9004
24%' -.1125 .40544 .782 -.9129 .6879
A-Pr -.7969(*) .35112 .025 -1.4901 -.1037
B-Pr .2563 .40544 .528 -.5442 1.0567
C-CH -.4000 .40544 .325 -1.2004 .4004
D-CH .0688 .40544 .866 -.7317 .8692
P .0625 .40544 .878 -.7379 .8629
P+Ar .2125 .40544 .601 -.5879 1.0129
A-Pr 16%' .8969(*) .35112 .012 .2037 1.5901
24%' .6844 .35112 .053 -.0088 1.3776
33%' .7969(*) .35112 .025 .1037 1.4901
B-Pr 1.0531(*) .35112 .003 .3599 1.7463
C-CH .3969 .35112 .260 -.2963 1.0901
D-CH .8656(*) .35112 .015 .1724 1.5588
P .8594(*) .35112 .015 .1662 1.5526
P+Ar 1.0094(*) .35112 .005 .3162 1.7026
B-Pr 16%' -.1563 .40544 .700 -.9567 .6442
24%' -.3688 .40544 .364 -1.1692 .4317
33%' -.2563 .40544 .528 -1.0567 .5442
A-Pr -1.0531(*) .35112 .003 -1.7463 -.3599
C-CH -.6563 .40544 .107 -1.4567 .1442
D-CH -.1875 .40544 .644 -.9879 .6129
P -.1938 .40544 .633 -.9942 .6067
P+Ar -.0438 .40544 .914 -.8442 .7567
C-CH 16%' .5000 .40544 .219 -.3004 1.3004
24%' .2875 .40544 .479 -.5129 1.0879
33%' .4000 .40544 .325 -.4004 1.2004
A-Pr -.3969 .35112 .260 -1.0901 .2963
B-Pr .6563 .40544 .107 -.1442 1.4567
D-CH .4688 .40544 .249 -.3317 1.2692
P .4625 .40544 .256 -.3379 1.2629
P+Ar .6125 .40544 .133 -.1879 1.4129
D-CH 16%' .0313 .40544 .939 -.7692 .8317
24%' -.1813 .40544 .655 -.9817 .6192
33%' -.0688 .40544 .866 -.8692 .7317
A-Pr -.8656(*) .35112 .015 -1.5588 -.1724
B-Pr .1875 .40544 .644 -.6129 .9879
C-CH -.4688 .40544 .249 -1.2692 .3317
P -.0062 .40544 .988 -.8067 .7942
P+Ar .1438 .40544 .723 -.6567 .9442
P 16%' .0375 .40544 .926 -.7629 .8379
24%' -.1750 .40544 .667 -.9754 .6254
33%' -.0625 .40544 .878 -.8629 .7379
A-Pr -.8594(*) .35112 .015 -1.5526 -.1662
B-Pr .1938 .40544 .633 -.6067 .9942
C-CH -.4625 .40544 .256 -1.2629 .3379
D-CH .0062 .40544 .988 -.7942 .8067
P+Ar .1500 .40544 .712 -.6504 .9504
P+Ar 16%' -.1125 .40544 .782 -.9129 .6879
24%' -.3250 .40544 .424 -1.1254 .4754
33%' -.2125 .40544 .601 -1.0129 .5879
A-Pr -1.0094(*) .35112 .005 -1.7026 -.3162
B-Pr .0438 .40544 .914 -.7567 .8442
C-CH -.6125 .40544 .133 -1.4129 .1879
D-CH -.1438 .40544 .723 -.9442 .6567
P -.1500 .40544 .712 -.9504 .6504
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

NAcidic

Productname N Subset
1
Tukey B(a,b,c) B-Pr 24 7.7938
P+Ar 24 7.8375
16%' 24 7.9500
D-CH 24 7.9813
P 24 7.9875
33%' 24 8.0500
24%' 24 8.1625
C-CH 24 8.4500
A-Pr 48 8.8469
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.973.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:06
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
NButter BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.16

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: NButter
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 17438.104 1 17438.104 352.223 .000
Error 346.561 7 49.509(a)

Productname Hypothesis 68.423 8 8.553 6.419 .000
Error 74.617 56 1.332(b)

Panellist Hypothesis 346.561 7 49.509 36.273 .000
Error 86.442 63.333 1.365(c)

Productname * Panellist Hypothesis 74.617 56 1.332 .606 .984
Error 369.473 168 2.199(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: NButter
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 8.169 .303 7.571 8.766
24%' 8.294 .303 7.696 8.891
33%' 8.419 .303 7.821 9.016
A-Pr 8.519 .214 8.096 8.941
B-Pr 7.931 .303 7.334 8.529
C-CH 9.419 .303 8.821 10.016
D-CH 9.531 .303 8.934 10.129
P 8.994 .303 8.396 9.591
P+Ar 9.313 .303 8.715 9.910

2. Panellist
Dependent Variable: NButter
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 7.403 .277 6.855 7.950
2 8.169 .277 7.622 8.717
3 10.475 .277 9.927 11.023
4 8.375 .277 7.827 8.923
5 9.617 .277 9.069 10.164
6 10.561 .277 10.014 11.109
7 8.019 .277 7.472 8.567
8 7.236 .277 6.689 7.784

3. Productname * Panellist
Dependent Variable: NButter
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 6.250 .856 4.560 7.940
2 7.450 .856 5.760 9.140
3 10.100 .856 8.410 11.790
4 7.550 .856 5.860 9.240
5 9.250 .856 7.560 10.940
6 9.800 .856 8.110 11.490
7 8.200 .856 6.510 9.890
8 6.750 .856 5.060 8.440
24%' 1 7.000 .856 5.310 8.690
2 7.700 .856 6.010 9.390
3 10.450 .856 8.760 12.140
4 7.950 .856 6.260 9.640
5 9.300 .856 7.610 10.990
6 10.200 .856 8.510 11.890
7 7.100 .856 5.410 8.790
8 6.650 .856 4.960 8.340
33%' 1 7.750 .856 6.060 9.440
2 8.000 .856 6.310 9.690
3 9.850 .856 8.160 11.540
4 7.650 .856 5.960 9.340
5 9.950 .856 8.260 11.640
6 9.700 .856 8.010 11.390
7 7.750 .856 6.060 9.440
8 6.700 .856 5.010 8.390
A-Pr 1 7.075 .605 5.880 8.270
2 6.975 .605 5.780 8.170
3 10.475 .605 9.280 11.670
4 7.775 .605 6.580 8.970
5 9.600 .605 8.405 10.795
6 10.450 .605 9.255 11.645
7 8.375 .605 7.180 9.570
8 7.425 .605 6.230 8.620
B-Pr 1 6.350 .856 4.660 8.040
2 7.650 .856 5.960 9.340
3 9.800 .856 8.110 11.490
4 5.800 .856 4.110 7.490
5 9.400 .856 7.710 11.090
6 9.600 .856 7.910 11.290
7 7.650 .856 5.960 9.340
8 7.200 .856 5.510 8.890
C-CH 1 9.100 .856 7.410 10.790
2 8.550 .856 6.860 10.240
3 11.050 .856 9.360 12.740
4 9.350 .856 7.660 11.040
5 10.100 .856 8.410 11.790
6 11.300 .856 9.610 12.990
7 7.750 .856 6.060 9.440
8 8.150 .856 6.460 9.840
D-CH 1 8.200 .856 6.510 9.890
2 9.150 .856 7.460 10.840
3 11.250 .856 9.560 12.940
4 10.750 .856 9.060 12.440
5 10.100 .856 8.410 11.790
6 11.400 .856 9.710 13.090
7 7.850 .856 6.160 9.540
8 7.550 .856 5.860 9.240
P 1 7.300 .856 5.610 8.990
2 8.900 .856 7.210 10.590
3 10.650 .856 8.960 12.340
4 10.200 .856 8.510 11.890
5 9.600 .856 7.910 11.290
6 11.200 .856 9.510 12.890
7 7.600 .856 5.910 9.290
8 6.500 .856 4.810 8.190
P+Ar 1 7.600 .856 5.910 9.290
2 9.150 .856 7.460 10.840
3 10.650 .856 8.960 12.340
4 8.350 .856 6.660 10.040
5 9.250 .856 7.560 10.940
6 11.400 .856 9.710 13.090
7 9.900 .856 8.210 11.590
8 8.200 .856 6.510 9.890

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: NButter

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.1250 .42810 .771 -.9701 .7201
33%' -.2500 .42810 .560 -1.0951 .5951
A-Pr -.3500 .37075 .347 -1.0819 .3819
B-Pr .2375 .42810 .580 -.6076 1.0826
C-CH -1.2500(*) .42810 .004 -2.0951 -.4049
D-CH -1.3625(*) .42810 .002 -2.2076 -.5174
P -.8250 .42810 .056 -1.6701 .0201
P+Ar -1.1438(*) .42810 .008 -1.9889 -.2986
24%' 16%' .1250 .42810 .771 -.7201 .9701
33%' -.1250 .42810 .771 -.9701 .7201
A-Pr -.2250 .37075 .545 -.9569 .5069
B-Pr .3625 .42810 .398 -.4826 1.2076
C-CH -1.1250(*) .42810 .009 -1.9701 -.2799
D-CH -1.2375(*) .42810 .004 -2.0826 -.3924
P -.7000 .42810 .104 -1.5451 .1451
P+Ar -1.0188(*) .42810 .018 -1.8639 -.1736
33%' 16%' .2500 .42810 .560 -.5951 1.0951
24%' .1250 .42810 .771 -.7201 .9701
A-Pr -.1000 .37075 .788 -.8319 .6319
B-Pr .4875 .42810 .256 -.3576 1.3326
C-CH -1.0000(*) .42810 .021 -1.8451 -.1549
D-CH -1.1125(*) .42810 .010 -1.9576 -.2674
P -.5750 .42810 .181 -1.4201 .2701
P+Ar -.8938(*) .42810 .038 -1.7389 -.0486
A-Pr 16%' .3500 .37075 .347 -.3819 1.0819
24%' .2250 .37075 .545 -.5069 .9569
33%' .1000 .37075 .788 -.6319 .8319
B-Pr .5875 .37075 .115 -.1444 1.3194
C-CH -.9000(*) .37075 .016 -1.6319 -.1681
D-CH -1.0125(*) .37075 .007 -1.7444 -.2806
P -.4750 .37075 .202 -1.2069 .2569
P+Ar -.7938(*) .37075 .034 -1.5257 -.0618
B-Pr 16%' -.2375 .42810 .580 -1.0826 .6076
24%' -.3625 .42810 .398 -1.2076 .4826
33%' -.4875 .42810 .256 -1.3326 .3576
A-Pr -.5875 .37075 .115 -1.3194 .1444
C-CH -1.4875(*) .42810 .001 -2.3326 -.6424
D-CH -1.6000(*) .42810 .000 -2.4451 -.7549
P -1.0625(*) .42810 .014 -1.9076 -.2174
P+Ar -1.3813(*) .42810 .002 -2.2264 -.5361
C-CH 16%' 1.2500(*) .42810 .004 .4049 2.0951
24%' 1.1250(*) .42810 .009 .2799 1.9701
33%' 1.0000(*) .42810 .021 .1549 1.8451
A-Pr .9000(*) .37075 .016 .1681 1.6319
B-Pr 1.4875(*) .42810 .001 .6424 2.3326
D-CH -.1125 .42810 .793 -.9576 .7326
P .4250 .42810 .322 -.4201 1.2701
P+Ar .1063 .42810 .804 -.7389 .9514
D-CH 16%' 1.3625(*) .42810 .002 .5174 2.2076
24%' 1.2375(*) .42810 .004 .3924 2.0826
33%' 1.1125(*) .42810 .010 .2674 1.9576
A-Pr 1.0125(*) .37075 .007 .2806 1.7444
B-Pr 1.6000(*) .42810 .000 .7549 2.4451
C-CH .1125 .42810 .793 -.7326 .9576
P .5375 .42810 .211 -.3076 1.3826
P+Ar .2188 .42810 .610 -.6264 1.0639
P 16%' .8250 .42810 .056 -.0201 1.6701
24%' .7000 .42810 .104 -.1451 1.5451
33%' .5750 .42810 .181 -.2701 1.4201
A-Pr .4750 .37075 .202 -.2569 1.2069
B-Pr 1.0625(*) .42810 .014 .2174 1.9076
C-CH -.4250 .42810 .322 -1.2701 .4201
D-CH -.5375 .42810 .211 -1.3826 .3076
P+Ar -.3188 .42810 .458 -1.1639 .5264
P+Ar 16%' 1.1438(*) .42810 .008 .2986 1.9889
24%' 1.0188(*) .42810 .018 .1736 1.8639
33%' .8938(*) .42810 .038 .0486 1.7389
A-Pr .7938(*) .37075 .034 .0618 1.5257
B-Pr 1.3813(*) .42810 .002 .5361 2.2264
C-CH -.1063 .42810 .804 -.9514 .7389
D-CH -.2188 .42810 .610 -1.0639 .6264
P .3188 .42810 .458 -.5264 1.1639
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

NButter

Productname N Subset
1 2 3
Tukey B(a,b,c) B-Pr 24 7.9313

16%' 24 8.1688 8.1688
24%' 24 8.2938 8.2938 8.2938
33%' 24 8.4188 8.4188 8.4188
A-Pr 48 8.5188 8.5188 8.5188
P 24 8.9938 8.9938 8.9938
P+Ar 24
9.3125 9.3125
C-CH 24
9.4188 9.4188
D-CH 24

9.5313
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 2.199.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:06
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
NOldmilk BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.13

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: NOldmilk
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 1779.738 1 1779.738 26.060 .001
Error 478.054 7 68.293(a)

Productname Hypothesis 19.913 8 2.489 2.779 .012
Error 50.151 56 .896(b)

Panellist Hypothesis 478.054 7 68.293 76.762 .000
Error 53.050 59.629 .890(c)

Productname * Panellist Hypothesis 50.151 56 .896 1.213 .176
Error 124.058 168 .738(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: NOldmilk
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 2.925 .175 2.579 3.271
24%' 2.850 .175 2.504 3.196
33%' 2.744 .175 2.397 3.090
A-Pr 3.206 .124 2.961 3.451
B-Pr 3.200 .175 2.854 3.546
C-CH 2.506 .175 2.160 2.853
D-CH 2.444 .175 2.097 2.790
P 2.463 .175 2.116 2.809
P+Ar 2.769 .175 2.422 3.115

2. Panellist
Dependent Variable: NOldmilk
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 1.911 .161 1.594 2.228
2 3.406 .161 3.088 3.723
3 1.911 .161 1.594 2.228
4 4.706 .161 4.388 5.023
5 5.208 .161 4.891 5.526
6 2.222 .161 1.905 2.540
7 .608 .161 .291 .926
8 2.344 .161 2.027 2.662

3. Productname * Panellist
Dependent Variable: NOldmilk
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 2.850 .496 1.871 3.829
2 2.900 .496 1.921 3.879
3 1.850 .496 .871 2.829
4 4.800 .496 3.821 5.779
5 5.100 .496 4.121 6.079
6 2.250 .496 1.271 3.229
7 1.150 .496 .171 2.129
8 2.500 .496 1.521 3.479
24%' 1 1.650 .496 .671 2.629
2 3.000 .496 2.021 3.979
3 1.750 .496 .771 2.729
4 6.450 .496 5.471 7.429
5 4.550 .496 3.571 5.529
6 2.150 .496 1.171 3.129
7 .900 .496 -.079 1.879
8 2.350 .496 1.371 3.329
33%' 1 1.500 .496 .521 2.479
2 4.150 .496 3.171 5.129
3 1.900 .496 .921 2.879
4 4.750 .496 3.771 5.729
5 5.600 .496 4.621 6.579
6 2.000 .496 1.021 2.979
7 .050 .496 -.929 1.029
8 2.000 .496 1.021 2.979
A-Pr 1 3.050 .351 2.357 3.743
2 4.000 .351 3.307 4.693
3 1.750 .351 1.057 2.443
4 5.050 .351 4.357 5.743
5 5.525 .351 4.832 6.218
6 2.500 .351 1.807 3.193
7 1.275 .351 .582 1.968
8 2.500 .351 1.807 3.193
B-Pr 1 2.500 .496 1.521 3.479
2 4.300 .496 3.321 5.279
3 2.550 .496 1.571 3.529
4 5.950 .496 4.971 6.929
5 5.250 .496 4.271 6.229
6 2.750 .496 1.771 3.729
7 .350 .496 -.629 1.329
8 1.950 .496 .971 2.929
C-CH 1 1.350 .496 .371 2.329
2 3.100 .496 2.121 4.079
3 1.900 .496 .921 2.879
4 3.950 .496 2.971 4.929
5 5.250 .496 4.271 6.229
6 1.650 .496 .671 2.629
7 .600 .496 -.379 1.579
8 2.250 .496 1.271 3.229
D-CH 1 1.400 .496 .421 2.379
2 2.900 .496 1.921 3.879
3 1.850 .496 .871 2.829
4 3.550 .496 2.571 4.529
5 5.150 .496 4.171 6.129
6 1.850 .496 .871 2.829
7 .300 .496 -.679 1.279
8 2.550 .496 1.571 3.529
P 1 2.200 .496 1.221 3.179
2 3.000 .496 2.021 3.979
3 1.850 .496 .871 2.829
4 3.350 .496 2.371 4.329
5 4.550 .496 3.571 5.529
6 2.150 .496 1.171 3.129
7 .300 .496 -.679 1.279
8 2.300 .496 1.321 3.279
P+Ar 1 .700 .496 -.279 1.679
2 3.300 .496 2.321 4.279
3 1.800 .496 .821 2.779
4 4.500 .496 3.521 5.479
5 5.900 .496 4.921 6.879
6 2.700 .496 1.721 3.679
7 .550 .496 -.429 1.529
8 2.700 .496 1.721 3.679

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: NOldmilk

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' .0750 .24807 .763 -.4147 .5647
33%' .1813 .24807 .466 -.3085 .6710
A-Pr -.2813 .21483 .192 -.7054 .1429
B-Pr -.2750 .24807 .269 -.7647 .2147
C-CH .4188 .24807 .093 -.0710 .9085
D-CH .4813 .24807 .054 -.0085 .9710
P .4625 .24807 .064 -.0272 .9522
P+Ar .1563 .24807 .530 -.3335 .6460
24%' 16%' -.0750 .24807 .763 -.5647 .4147
33%' .1063 .24807 .669 -.3835 .5960
A-Pr -.3563 .21483 .099 -.7804 .0679
B-Pr -.3500 .24807 .160 -.8397 .1397
C-CH .3438 .24807 .168 -.1460 .8335
D-CH .4063 .24807 .103 -.0835 .8960
P .3875 .24807 .120 -.1022 .8772
P+Ar .0813 .24807 .744 -.4085 .5710
33%' 16%' -.1813 .24807 .466 -.6710 .3085
24%' -.1063 .24807 .669 -.5960 .3835
A-Pr -.4625(*) .21483 .033 -.8866 -.0384
B-Pr -.4563 .24807 .068 -.9460 .0335
C-CH .2375 .24807 .340 -.2522 .7272
D-CH .3000 .24807 .228 -.1897 .7897
P .2813 .24807 .259 -.2085 .7710
P+Ar -.0250 .24807 .920 -.5147 .4647
A-Pr 16%' .2813 .21483 .192 -.1429 .7054
24%' .3563 .21483 .099 -.0679 .7804
33%' .4625(*) .21483 .033 .0384 .8866
B-Pr .0062 .21483 .977 -.4179 .4304
C-CH .7000(*) .21483 .001 .2759 1.1241
D-CH .7625(*) .21483 .001 .3384 1.1866
P .7438(*) .21483 .001 .3196 1.1679
P+Ar .4375(*) .21483 .043 .0134 .8616
B-Pr 16%' .2750 .24807 .269 -.2147 .7647
24%' .3500 .24807 .160 -.1397 .8397
33%' .4563 .24807 .068 -.0335 .9460
A-Pr -.0062 .21483 .977 -.4304 .4179
C-CH .6938(*) .24807 .006 .2040 1.1835
D-CH .7563(*) .24807 .003 .2665 1.2460
P .7375(*) .24807 .003 .2478 1.2272
P+Ar .4313 .24807 .084 -.0585 .9210
C-CH 16%' -.4188 .24807 .093 -.9085 .0710
24%' -.3438 .24807 .168 -.8335 .1460
33%' -.2375 .24807 .340 -.7272 .2522
A-Pr -.7000(*) .21483 .001 -1.1241 -.2759
B-Pr -.6938(*) .24807 .006 -1.1835 -.2040
D-CH .0625 .24807 .801 -.4272 .5522
P .0438 .24807 .860 -.4460 .5335
P+Ar -.2625 .24807 .291 -.7522 .2272
D-CH 16%' -.4813 .24807 .054 -.9710 .0085
24%' -.4063 .24807 .103 -.8960 .0835
33%' -.3000 .24807 .228 -.7897 .1897
A-Pr -.7625(*) .21483 .001 -1.1866 -.3384
B-Pr -.7563(*) .24807 .003 -1.2460 -.2665
C-CH -.0625 .24807 .801 -.5522 .4272
P -.0188 .24807 .940 -.5085 .4710
P+Ar -.3250 .24807 .192 -.8147 .1647
P 16%' -.4625 .24807 .064 -.9522 .0272
24%' -.3875 .24807 .120 -.8772 .1022
33%' -.2813 .24807 .259 -.7710 .2085
A-Pr -.7438(*) .21483 .001 -1.1679 -.3196
B-Pr -.7375(*) .24807 .003 -1.2272 -.2478
C-CH -.0438 .24807 .860 -.5335 .4460
D-CH .0188 .24807 .940 -.4710 .5085
P+Ar -.3063 .24807 .219 -.7960 .1835
P+Ar 16%' -.1563 .24807 .530 -.6460 .3335
24%' -.0813 .24807 .744 -.5710 .4085
33%' .0250 .24807 .920 -.4647 .5147
A-Pr -.4375(*) .21483 .043 -.8616 -.0134
B-Pr -.4313 .24807 .084 -.9210 .0585
C-CH .2625 .24807 .291 -.2272 .7522
D-CH .3250 .24807 .192 -.1647 .8147
P .3063 .24807 .219 -.1835 .7960
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

NOldmilk

Productname N Subset
1 2
Tukey B(a,b,c) D-CH 24 2.4438
P 24 2.4625 2.4625
C-CH 24 2.5063 2.5063
33%' 24 2.7438 2.7438
P+Ar 24 2.7688 2.7688
24%' 24 2.8500 2.8500
16%' 24 2.9250 2.9250
B-Pr 24
3.2000
A-Pr 48
3.2063
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = .738.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:06
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
EWhite BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.35

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: EWhite
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 19255.519 1 19255.519 727.081 .000
Error 185.383 7 26.483(a)

Productname Hypothesis 231.546 8 28.943 18.304 .000
Error 88.550 56 1.581(b)

Panellist Hypothesis 185.383 7 26.483 16.983 .000
Error 91.652 58.773 1.559(c)

Productname * Panellist Hypothesis 88.550 56 1.581 1.584 .013
Error 167.760 168 .999(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: EWhite
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 9.781 .204 9.379 10.184
24%' 9.425 .204 9.022 9.828
33%' 7.475 .204 7.072 7.878
A-Pr 10.069 .144 9.784 10.353
B-Pr 10.206 .204 9.804 10.609
C-CH 7.856 .204 7.454 8.259
D-CH 10.406 .204 10.004 10.809
P 8.731 .204 8.329 9.134
P+Ar 8.631 .204 8.229 9.034

2. Panellist
Dependent Variable: EWhite
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 9.808 .187 9.439 10.177
2 7.392 .187 7.023 7.761
3 9.892 .187 9.523 10.261
4 9.942 .187 9.573 10.311
5 8.994 .187 8.625 9.363
6 10.117 .187 9.748 10.486
7 9.011 .187 8.642 9.380
8 8.250 .187 7.881 8.619

3. Productname * Panellist
Dependent Variable: EWhite
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 10.250 .577 9.111 11.389
2 9.650 .577 8.511 10.789
3 10.450 .577 9.311 11.589
4 8.800 .577 7.661 9.939
5 10.050 .577 8.911 11.189
6 10.250 .577 9.111 11.389
7 11.150 .577 10.011 12.289
8 7.650 .577 6.511 8.789
24%' 1 9.800 .577 8.661 10.939
2 7.400 .577 6.261 8.539
3 10.200 .577 9.061 11.339
4 9.550 .577 8.411 10.689
5 8.950 .577 7.811 10.089
6 9.800 .577 8.661 10.939
7 11.000 .577 9.861 12.139
8 8.700 .577 7.561 9.839
33%' 1 8.150 .577 7.011 9.289
2 5.300 .577 4.161 6.439
3 7.700 .577 6.561 8.839
4 8.100 .577 6.961 9.239
5 7.600 .577 6.461 8.739
6 8.950 .577 7.811 10.089
7 7.200 .577 6.061 8.339
8 6.800 .577 5.661 7.939
A-Pr 1 10.675 .408 9.870 11.480
2 8.825 .408 8.020 9.630
3 10.625 .408 9.820 11.430
4 11.425 .408 10.620 12.230
5 9.700 .408 8.895 10.505
6 10.800 .408 9.995 11.605
7 9.850 .408 9.045 10.655
8 8.650 .408 7.845 9.455
B-Pr 1 11.250 .577 10.111 12.389
2 8.000 .577 6.861 9.139
3 10.500 .577 9.361 11.639
4 11.550 .577 10.411 12.689
5 10.200 .577 9.061 11.339
6 11.500 .577 10.361 12.639
7 9.600 .577 8.461 10.739
8 9.050 .577 7.911 10.189
C-CH 1 9.250 .577 8.111 10.389
2 4.850 .577 3.711 5.989
3 8.950 .577 7.811 10.089
4 8.500 .577 7.361 9.639
5 8.100 .577 6.961 9.239
6 9.450 .577 8.311 10.589
7 6.400 .577 5.261 7.539
8 7.350 .577 6.211 8.489
D-CH 1 10.100 .577 8.961 11.239
2 9.300 .577 8.161 10.439
3 10.800 .577 9.661 11.939
4 11.800 .577 10.661 12.939
5 9.750 .577 8.611 10.889
6 10.950 .577 9.811 12.089
7 10.450 .577 9.311 11.589
8 10.100 .577 8.961 11.239
P 1 9.500 .577 8.361 10.639
2 6.100 .577 4.961 7.239
3 10.250 .577 9.111 11.389
4 10.050 .577 8.911 11.189
5 7.950 .577 6.811 9.089
6 9.800 .577 8.661 10.939
7 8.250 .577 7.111 9.389
8 7.950 .577 6.811 9.089
P+Ar 1 9.300 .577 8.161 10.439
2 7.100 .577 5.961 8.239
3 9.550 .577 8.411 10.689
4 9.700 .577 8.561 10.839
5 8.650 .577 7.511 9.789
6 9.550 .577 8.411 10.689
7 7.200 .577 6.061 8.339
8 8.000 .577 6.861 9.139

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: EWhite

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' .3563 .28847 .219 -.2132 .9257
33%' 2.3063(*) .28847 .000 1.7368 2.8757
A-Pr -.2875 .24982 .251 -.7807 .2057
B-Pr -.4250 .28847 .143 -.9945 .1445
C-CH 1.9250(*) .28847 .000 1.3555 2.4945
D-CH -.6250(*) .28847 .032 -1.1945 -.0555
P 1.0500(*) .28847 .000 .4805 1.6195
P+Ar 1.1500(*) .28847 .000 .5805 1.7195
24%' 16%' -.3563 .28847 .219 -.9257 .2132
33%' 1.9500(*) .28847 .000 1.3805 2.5195
A-Pr -.6438(*) .24982 .011 -1.1369 -.1506
B-Pr -.7813(*) .28847 .007 -1.3507 -.2118
C-CH 1.5688(*) .28847 .000 .9993 2.1382
D-CH -.9813(*) .28847 .001 -1.5507 -.4118
P .6938(*) .28847 .017 .1243 1.2632
P+Ar .7938(*) .28847 .007 .2243 1.3632
33%' 16%' -2.3063(*) .28847 .000 -2.8757 -1.7368
24%' -1.9500(*) .28847 .000 -2.5195 -1.3805
A-Pr -2.5938(*) .24982 .000 -3.0869 -2.1006
B-Pr -2.7313(*) .28847 .000 -3.3007 -2.1618
C-CH -.3813 .28847 .188 -.9507 .1882
D-CH -2.9313(*) .28847 .000 -3.5007 -2.3618
P -1.2563(*) .28847 .000 -1.8257 -.6868
P+Ar -1.1563(*) .28847 .000 -1.7257 -.5868
A-Pr 16%' .2875 .24982 .251 -.2057 .7807
24%' .6438(*) .24982 .011 .1506 1.1369
33%' 2.5938(*) .24982 .000 2.1006 3.0869
B-Pr -.1375 .24982 .583 -.6307 .3557
C-CH 2.2125(*) .24982 .000 1.7193 2.7057
D-CH -.3375 .24982 .179 -.8307 .1557
P 1.3375(*) .24982 .000 .8443 1.8307
P+Ar 1.4375(*) .24982 .000 .9443 1.9307
B-Pr 16%' .4250 .28847 .143 -.1445 .9945
24%' .7813(*) .28847 .007 .2118 1.3507
33%' 2.7313(*) .28847 .000 2.1618 3.3007
A-Pr .1375 .24982 .583 -.3557 .6307
C-CH 2.3500(*) .28847 .000 1.7805 2.9195
D-CH -.2000 .28847 .489 -.7695 .3695
P 1.4750(*) .28847 .000 .9055 2.0445
P+Ar 1.5750(*) .28847 .000 1.0055 2.1445
C-CH 16%' -1.9250(*) .28847 .000 -2.4945 -1.3555
24%' -1.5688(*) .28847 .000 -2.1382 -.9993
33%' .3813 .28847 .188 -.1882 .9507
A-Pr -2.2125(*) .24982 .000 -2.7057 -1.7193
B-Pr -2.3500(*) .28847 .000 -2.9195 -1.7805
D-CH -2.5500(*) .28847 .000 -3.1195 -1.9805
P -.8750(*) .28847 .003 -1.4445 -.3055
P+Ar -.7750(*) .28847 .008 -1.3445 -.2055
D-CH 16%' .6250(*) .28847 .032 .0555 1.1945
24%' .9813(*) .28847 .001 .4118 1.5507
33%' 2.9313(*) .28847 .000 2.3618 3.5007
A-Pr .3375 .24982 .179 -.1557 .8307
B-Pr .2000 .28847 .489 -.3695 .7695
C-CH 2.5500(*) .28847 .000 1.9805 3.1195
P 1.6750(*) .28847 .000 1.1055 2.2445
P+Ar 1.7750(*) .28847 .000 1.2055 2.3445
P 16%' -1.0500(*) .28847 .000 -1.6195 -.4805
24%' -.6938(*) .28847 .017 -1.2632 -.1243
33%' 1.2563(*) .28847 .000 .6868 1.8257
A-Pr -1.3375(*) .24982 .000 -1.8307 -.8443
B-Pr -1.4750(*) .28847 .000 -2.0445 -.9055
C-CH .8750(*) .28847 .003 .3055 1.4445
D-CH -1.6750(*) .28847 .000 -2.2445 -1.1055
P+Ar .1000 .28847 .729 -.4695 .6695
P+Ar 16%' -1.1500(*) .28847 .000 -1.7195 -.5805
24%' -.7938(*) .28847 .007 -1.3632 -.2243
33%' 1.1563(*) .28847 .000 .5868 1.7257
A-Pr -1.4375(*) .24982 .000 -1.9307 -.9443
B-Pr -1.5750(*) .28847 .000 -2.1445 -1.0055
C-CH .7750(*) .28847 .008 .2055 1.3445
D-CH -1.7750(*) .28847 .000 -2.3445 -1.2055
P -.1000 .28847 .729 -.6695 .4695
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

EWhite

Productname N Subset
1 2 3 4 5
Tukey B(a,b,c) 33%' 24 7.4750



C-CH 24 7.8563



P+Ar 24
8.6313


P 24
8.7313 8.7313

24%' 24

9.4250 9.4250
16%' 24


9.7813 9.7813
A-Pr 48


10.0688 10.0688
B-Pr 24


10.2063 10.2063
D-CH 24



10.4063
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = .999.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:06
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
EGrey BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.15

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: EGrey
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 1661.268 1 1661.268 129.689 .000
Error 89.668 7 12.810(a)

Productname Hypothesis 25.132 8 3.142 4.468 .000
Error 39.377 56 .703(b)

Panellist Hypothesis 89.668 7 12.810 18.161 .000
Error 42.868 60.777 .705(c)

Productname * Panellist Hypothesis 39.377 56 .703 .924 .627
Error 127.853 168 .761(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: EGrey
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 2.713 .178 2.361 3.064
24%' 3.163 .178 2.811 3.514
33%' 2.369 .178 2.017 2.720
A-Pr 3.169 .126 2.920 3.417
B-Pr 2.888 .178 2.536 3.239
C-CH 2.244 .178 1.892 2.595
D-CH 2.638 .178 2.286 2.989
P 2.506 .178 2.155 2.858
P+Ar 2.569 .178 2.217 2.920

2. Panellist
Dependent Variable: EGrey
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 2.358 .163 2.036 2.680
2 3.261 .163 2.939 3.583
3 2.336 .163 2.014 2.658
4 3.175 .163 2.853 3.497
5 2.497 .163 2.175 2.819
6 2.142 .163 1.820 2.464
7 1.917 .163 1.595 2.239
8 3.875 .163 3.553 4.197

3. Productname * Panellist
Dependent Variable: EGrey
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 2.500 .504 1.506 3.494
2 2.900 .504 1.906 3.894
3 2.450 .504 1.456 3.444
4 3.550 .504 2.556 4.544
5 2.550 .504 1.556 3.544
6 1.900 .504 .906 2.894
7 2.150 .504 1.156 3.144
8 3.700 .504 2.706 4.694
24%' 1 3.050 .504 2.056 4.044
2 3.650 .504 2.656 4.644
3 2.500 .504 1.506 3.494
4 3.650 .504 2.656 4.644
5 2.400 .504 1.406 3.394
6 2.700 .504 1.706 3.694
7 1.700 .504 .706 2.694
8 5.650 .504 4.656 6.644
33%' 1 1.900 .504 .906 2.894
2 3.200 .504 2.206 4.194
3 1.800 .504 .806 2.794
4 3.500 .504 2.506 4.494
5 2.300 .504 1.306 3.294
6 1.750 .504 .756 2.744
7 1.250 .504 .256 2.244
8 3.250 .504 2.256 4.244
A-Pr 1 2.425 .356 1.722 3.128
2 3.900 .356 3.197 4.603
3 2.725 .356 2.022 3.428
4 3.075 .356 2.372 3.778
5 3.275 .356 2.572 3.978
6 2.125 .356 1.422 2.828
7 2.500 .356 1.797 3.203
8 5.325 .356 4.622 6.028
B-Pr 1 1.700 .504 .706 2.694
2 3.650 .504 2.656 4.644
3 2.550 .504 1.556 3.544
4 3.850 .504 2.856 4.844
5 2.900 .504 1.906 3.894
6 1.950 .504 .956 2.944
7 2.250 .504 1.256 3.244
8 4.250 .504 3.256 5.244
C-CH 1 1.750 .504 .756 2.744
2 2.900 .504 1.906 3.894
3 1.750 .504 .756 2.744
4 3.100 .504 2.106 4.094
5 2.350 .504 1.356 3.344
6 2.250 .504 1.256 3.244
7 1.600 .504 .606 2.594
8 2.250 .504 1.256 3.244
D-CH 1 2.450 .504 1.456 3.444
2 2.900 .504 1.906 3.894
3 2.650 .504 1.656 3.644
4 2.950 .504 1.956 3.944
5 2.250 .504 1.256 3.244
6 2.350 .504 1.356 3.344
7 1.900 .504 .906 2.894
8 3.650 .504 2.656 4.644
P 1 2.250 .504 1.256 3.244
2 3.250 .504 2.256 4.244
3 2.350 .504 1.356 3.344
4 2.450 .504 1.456 3.444
5 2.100 .504 1.106 3.094
6 2.100 .504 1.106 3.094
7 2.100 .504 1.106 3.094
8 3.450 .504 2.456 4.444
P+Ar 1 3.200 .504 2.206 4.194
2 3.000 .504 2.006 3.994
3 2.250 .504 1.256 3.244
4 2.450 .504 1.456 3.444
5 2.350 .504 1.356 3.344
6 2.150 .504 1.156 3.144
7 1.800 .504 .806 2.794
8 3.350 .504 2.356 4.344

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: EGrey

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.4500 .25183 .076 -.9472 .0472
33%' .3438 .25183 .174 -.1534 .8409
A-Pr -.4563(*) .21809 .038 -.8868 -.0257
B-Pr -.1750 .25183 .488 -.6722 .3222
C-CH .4688 .25183 .064 -.0284 .9659
D-CH .0750 .25183 .766 -.4222 .5722
P .2063 .25183 .414 -.2909 .7034
P+Ar .1438 .25183 .569 -.3534 .6409
24%' 16%' .4500 .25183 .076 -.0472 .9472
33%' .7938(*) .25183 .002 .2966 1.2909
A-Pr -.0063 .21809 .977 -.4368 .4243
B-Pr .2750 .25183 .276 -.2222 .7722
C-CH .9188(*) .25183 .000 .4216 1.4159
D-CH .5250(*) .25183 .039 .0278 1.0222
P .6563(*) .25183 .010 .1591 1.1534
P+Ar .5938(*) .25183 .020 .0966 1.0909
33%' 16%' -.3438 .25183 .174 -.8409 .1534
24%' -.7938(*) .25183 .002 -1.2909 -.2966
A-Pr -.8000(*) .21809 .000 -1.2306 -.3694
B-Pr -.5188(*) .25183 .041 -1.0159 -.0216
C-CH .1250 .25183 .620 -.3722 .6222
D-CH -.2688 .25183 .287 -.7659 .2284
P -.1375 .25183 .586 -.6347 .3597
P+Ar -.2000 .25183 .428 -.6972 .2972
A-Pr 16%' .4563(*) .21809 .038 .0257 .8868
24%' .0063 .21809 .977 -.4243 .4368
33%' .8000(*) .21809 .000 .3694 1.2306
B-Pr .2813 .21809 .199 -.1493 .7118
C-CH .9250(*) .21809 .000 .4944 1.3556
D-CH .5313(*) .21809 .016 .1007 .9618
P .6625(*) .21809 .003 .2319 1.0931
P+Ar .6000(*) .21809 .007 .1694 1.0306
B-Pr 16%' .1750 .25183 .488 -.3222 .6722
24%' -.2750 .25183 .276 -.7722 .2222
33%' .5188(*) .25183 .041 .0216 1.0159
A-Pr -.2813 .21809 .199 -.7118 .1493
C-CH .6438(*) .25183 .011 .1466 1.1409
D-CH .2500 .25183 .322 -.2472 .7472
P .3813 .25183 .132 -.1159 .8784
P+Ar .3188 .25183 .207 -.1784 .8159
C-CH 16%' -.4688 .25183 .064 -.9659 .0284
24%' -.9188(*) .25183 .000 -1.4159 -.4216
33%' -.1250 .25183 .620 -.6222 .3722
A-Pr -.9250(*) .21809 .000 -1.3556 -.4944
B-Pr -.6438(*) .25183 .011 -1.1409 -.1466
D-CH -.3938 .25183 .120 -.8909 .1034
P -.2625 .25183 .299 -.7597 .2347
P+Ar -.3250 .25183 .199 -.8222 .1722
D-CH 16%' -.0750 .25183 .766 -.5722 .4222
24%' -.5250(*) .25183 .039 -1.0222 -.0278
33%' .2688 .25183 .287 -.2284 .7659
A-Pr -.5313(*) .21809 .016 -.9618 -.1007
B-Pr -.2500 .25183 .322 -.7472 .2472
C-CH .3938 .25183 .120 -.1034 .8909
P .1313 .25183 .603 -.3659 .6284
P+Ar .0688 .25183 .785 -.4284 .5659
P 16%' -.2063 .25183 .414 -.7034 .2909
24%' -.6563(*) .25183 .010 -1.1534 -.1591
33%' .1375 .25183 .586 -.3597 .6347
A-Pr -.6625(*) .21809 .003 -1.0931 -.2319
B-Pr -.3813 .25183 .132 -.8784 .1159
C-CH .2625 .25183 .299 -.2347 .7597
D-CH -.1313 .25183 .603 -.6284 .3659
P+Ar -.0625 .25183 .804 -.5597 .4347
P+Ar 16%' -.1438 .25183 .569 -.6409 .3534
24%' -.5938(*) .25183 .020 -1.0909 -.0966
33%' .2000 .25183 .428 -.2972 .6972
A-Pr -.6000(*) .21809 .007 -1.0306 -.1694
B-Pr -.3188 .25183 .207 -.8159 .1784
C-CH .3250 .25183 .199 -.1722 .8222
D-CH -.0688 .25183 .785 -.5659 .4284
P .0625 .25183 .804 -.4347 .5597
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

EGrey

Productname N Subset
1 2
Tukey B(a,b,c) C-CH 24 2.2438
33%' 24 2.3688
P 24 2.5063 2.5063
P+Ar 24 2.5688 2.5688
D-CH 24 2.6375 2.6375
16%' 24 2.7125 2.7125
B-Pr 24 2.8875 2.8875
24%' 24
3.1625
A-Pr 48
3.1688
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = .761.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:06
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
EYellow BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.38

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: EYellow
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 3317.014 1 3317.014 118.694 .000
Error 195.621 7 27.946(a)

Productname Hypothesis 288.328 8 36.041 30.782 .000
Error 65.567 56 1.171(b)

Panellist Hypothesis 195.621 7 27.946 24.114 .000
Error 68.606 59.199 1.159(c)

Productname * Panellist Hypothesis 65.567 56 1.171 1.374 .064
Error 143.153 168 .852(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: EYellow
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 3.188 .188 2.816 3.559
24%' 3.744 .188 3.372 4.116
33%' 5.869 .188 5.497 6.241
A-Pr 2.613 .133 2.349 2.876
B-Pr 2.506 .188 2.134 2.878
C-CH 5.106 .188 4.734 5.478
D-CH 2.844 .188 2.472 3.216
P 4.344 .188 3.972 4.716
P+Ar 4.063 .188 3.691 4.434

2. Panellist
Dependent Variable: EYellow
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 2.958 .173 2.618 3.299
2 5.708 .173 5.368 6.049
3 2.714 .173 2.373 3.055
4 3.678 .173 3.337 4.019
5 3.647 .173 3.306 3.988
6 3.422 .173 3.081 3.763
7 3.514 .173 3.173 3.855
8 4.825 .173 4.484 5.166

3. Productname * Panellist
Dependent Variable: EYellow
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 2.350 .533 1.298 3.402
2 3.650 .533 2.598 4.702
3 2.250 .533 1.198 3.302
4 4.300 .533 3.248 5.352
5 2.850 .533 1.798 3.902
6 2.850 .533 1.798 3.902
7 2.600 .533 1.548 3.652
8 4.650 .533 3.598 5.702
24%' 1 3.350 .533 2.298 4.402
2 5.750 .533 4.698 6.802
3 2.250 .533 1.198 3.302
4 4.000 .533 2.948 5.052
5 4.000 .533 2.948 5.052
6 2.950 .533 1.898 4.002
7 2.850 .533 1.798 3.902
8 4.800 .533 3.748 5.852
33%' 1 5.050 .533 3.998 6.102
2 8.100 .533 7.048 9.152
3 4.700 .533 3.648 5.752
4 5.400 .533 4.348 6.452
5 5.150 .533 4.098 6.202
6 5.350 .533 4.298 6.402
7 6.850 .533 5.798 7.902
8 6.350 .533 5.298 7.402
A-Pr 1 1.525 .377 .781 2.269
2 3.925 .377 3.181 4.669
3 1.875 .377 1.131 2.619
4 2.400 .377 1.656 3.144
5 2.625 .377 1.881 3.369
6 2.500 .377 1.756 3.244
7 2.675 .377 1.931 3.419
8 3.375 .377 2.631 4.119
B-Pr 1 1.350 .533 .298 2.402
2 4.000 .533 2.948 5.052
3 2.000 .533 .948 3.052
4 2.200 .533 1.148 3.252
5 2.450 .533 1.398 3.502
6 1.900 .533 .848 2.952
7 2.150 .533 1.098 3.202
8 4.000 .533 2.948 5.052
C-CH 1 4.550 .533 3.498 5.602
2 8.100 .533 7.048 9.152
3 3.500 .533 2.448 4.552
4 5.000 .533 3.948 6.052
5 4.400 .533 3.348 5.452
6 5.000 .533 3.948 6.052
7 5.200 .533 4.148 6.252
8 5.100 .533 4.048 6.152
D-CH 1 2.050 .533 .998 3.102
2 3.650 .533 2.598 4.702
3 2.450 .533 1.398 3.502
4 2.750 .533 1.698 3.802
5 3.350 .533 2.298 4.402
6 2.500 .533 1.448 3.552
7 1.550 .533 .498 2.602
8 4.450 .533 3.398 5.502
P 1 3.350 .533 2.298 4.402
2 7.800 .533 6.748 8.852
3 2.800 .533 1.748 3.852
4 3.600 .533 2.548 4.652
5 4.650 .533 3.598 5.702
6 3.400 .533 2.348 4.452
7 3.750 .533 2.698 4.802
8 5.400 .533 4.348 6.452
P+Ar 1 3.050 .533 1.998 4.102
2 6.400 .533 5.348 7.452
3 2.600 .533 1.548 3.652
4 3.450 .533 2.398 4.502
5 3.350 .533 2.298 4.402
6 4.350 .533 3.298 5.402
7 4.000 .533 2.948 5.052
8 5.300 .533 4.248 6.352

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: EYellow

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.5563(*) .26647 .038 -1.0823 -.0302
33%' -2.6813(*) .26647 .000 -3.2073 -2.1552
A-Pr .5750(*) .23077 .014 .1194 1.0306
B-Pr .6813(*) .26647 .011 .1552 1.2073
C-CH -1.9188(*) .26647 .000 -2.4448 -1.3927
D-CH .3438 .26647 .199 -.1823 .8698
P -1.1563(*) .26647 .000 -1.6823 -.6302
P+Ar -.8750(*) .26647 .001 -1.4011 -.3489
24%' 16%' .5563(*) .26647 .038 .0302 1.0823
33%' -2.1250(*) .26647 .000 -2.6511 -1.5989
A-Pr 1.1313(*) .23077 .000 .6757 1.5868
B-Pr 1.2375(*) .26647 .000 .7114 1.7636
C-CH -1.3625(*) .26647 .000 -1.8886 -.8364
D-CH .9000(*) .26647 .001 .3739 1.4261
P -.6000(*) .26647 .026 -1.1261 -.0739
P+Ar -.3188 .26647 .233 -.8448 .2073
33%' 16%' 2.6813(*) .26647 .000 2.1552 3.2073
24%' 2.1250(*) .26647 .000 1.5989 2.6511
A-Pr 3.2563(*) .23077 .000 2.8007 3.7118
B-Pr 3.3625(*) .26647 .000 2.8364 3.8886
C-CH .7625(*) .26647 .005 .2364 1.2886
D-CH 3.0250(*) .26647 .000 2.4989 3.5511
P 1.5250(*) .26647 .000 .9989 2.0511
P+Ar 1.8063(*) .26647 .000 1.2802 2.3323
A-Pr 16%' -.5750(*) .23077 .014 -1.0306 -.1194
24%' -1.1313(*) .23077 .000 -1.5868 -.6757
33%' -3.2563(*) .23077 .000 -3.7118 -2.8007
B-Pr .1063 .23077 .646 -.3493 .5618
C-CH -2.4938(*) .23077 .000 -2.9493 -2.0382
D-CH -.2313 .23077 .318 -.6868 .2243
P -1.7313(*) .23077 .000 -2.1868 -1.2757
P+Ar -1.4500(*) .23077 .000 -1.9056 -.9944
B-Pr 16%' -.6813(*) .26647 .011 -1.2073 -.1552
24%' -1.2375(*) .26647 .000 -1.7636 -.7114
33%' -3.3625(*) .26647 .000 -3.8886 -2.8364
A-Pr -.1063 .23077 .646 -.5618 .3493
C-CH -2.6000(*) .26647 .000 -3.1261 -2.0739
D-CH -.3375 .26647 .207 -.8636 .1886
P -1.8375(*) .26647 .000 -2.3636 -1.3114
P+Ar -1.5563(*) .26647 .000 -2.0823 -1.0302
C-CH 16%' 1.9188(*) .26647 .000 1.3927 2.4448
24%' 1.3625(*) .26647 .000 .8364 1.8886
33%' -.7625(*) .26647 .005 -1.2886 -.2364
A-Pr 2.4938(*) .23077 .000 2.0382 2.9493
B-Pr 2.6000(*) .26647 .000 2.0739 3.1261
D-CH 2.2625(*) .26647 .000 1.7364 2.7886
P .7625(*) .26647 .005 .2364 1.2886
P+Ar 1.0438(*) .26647 .000 .5177 1.5698
D-CH 16%' -.3438 .26647 .199 -.8698 .1823
24%' -.9000(*) .26647 .001 -1.4261 -.3739
33%' -3.0250(*) .26647 .000 -3.5511 -2.4989
A-Pr .2313 .23077 .318 -.2243 .6868
B-Pr .3375 .26647 .207 -.1886 .8636
C-CH -2.2625(*) .26647 .000 -2.7886 -1.7364
P -1.5000(*) .26647 .000 -2.0261 -.9739
P+Ar -1.2188(*) .26647 .000 -1.7448 -.6927
P 16%' 1.1563(*) .26647 .000 .6302 1.6823
24%' .6000(*) .26647 .026 .0739 1.1261
33%' -1.5250(*) .26647 .000 -2.0511 -.9989
A-Pr 1.7313(*) .23077 .000 1.2757 2.1868
B-Pr 1.8375(*) .26647 .000 1.3114 2.3636
C-CH -.7625(*) .26647 .005 -1.2886 -.2364
D-CH 1.5000(*) .26647 .000 .9739 2.0261
P+Ar .2813 .26647 .293 -.2448 .8073
P+Ar 16%' .8750(*) .26647 .001 .3489 1.4011
24%' .3188 .26647 .233 -.2073 .8448
33%' -1.8063(*) .26647 .000 -2.3323 -1.2802
A-Pr 1.4500(*) .23077 .000 .9944 1.9056
B-Pr 1.5563(*) .26647 .000 1.0302 2.0823
C-CH -1.0438(*) .26647 .000 -1.5698 -.5177
D-CH 1.2188(*) .26647 .000 .6927 1.7448
P -.2813 .26647 .293 -.8073 .2448
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

EYellow

Productname N Subset
1 2 3 4 5
Tukey B(a,b,c) B-Pr 24 2.5063



A-Pr 48 2.6125



D-CH 24 2.8438



16%' 24 3.1875 3.1875


24%' 24
3.7438 3.7438

P+Ar 24

4.0625

P 24

4.3438

C-CH 24


5.1063
33%' 24



5.8688
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = .852.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:07
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
EGreen BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.11

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: EGreen
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 663.933 1 663.933 40.697 .000
Error 114.199 7 16.314(a)

Productname Hypothesis 2.133 8 .267 1.119 .365
Error 13.350 56 .238(b)

Panellist Hypothesis 114.199 7 16.314 68.852 .000
Error 14.143 59.691 .237(c)

Productname * Panellist Hypothesis 13.350 56 .238 1.193 .197
Error 33.581 168 .200(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: EGreen
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1.619 .091 1.439 1.799
24%' 1.650 .091 1.470 1.830
33%' 1.844 .091 1.664 2.024
A-Pr 1.709 .065 1.582 1.837
B-Pr 1.619 .091 1.439 1.799
C-CH 1.619 .091 1.439 1.799
D-CH 1.675 .091 1.495 1.855
P 1.688 .091 1.507 1.868
P+Ar 1.913 .091 1.732 2.093

2. Panellist
Dependent Variable: EGreen
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 .556 .084 .390 .721
2 2.686 .084 2.521 2.851
3 1.417 .084 1.252 1.582
4 1.989 .084 1.824 2.154
5 2.464 .084 2.299 2.629
6 1.750 .084 1.585 1.915
7 .767 .084 .602 .932
8 2.003 .084 1.838 2.168

3. Productname * Panellist
Dependent Variable: EGreen
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 .550 .258 .040 1.060
2 2.600 .258 2.090 3.110
3 1.200 .258 .690 1.710
4 1.850 .258 1.340 2.360
5 1.950 .258 1.440 2.460
6 1.900 .258 1.390 2.410
7 .750 .258 .240 1.260
8 2.150 .258 1.640 2.660
24%' 1 .650 .258 .140 1.160
2 2.400 .258 1.890 2.910
3 1.300 .258 .790 1.810
4 1.750 .258 1.240 2.260
5 2.350 .258 1.840 2.860
6 1.850 .258 1.340 2.360
7 .450 .258 -.060 .960
8 2.450 .258 1.940 2.960
33%' 1 .950 .258 .440 1.460
2 2.750 .258 2.240 3.260
3 1.350 .258 .840 1.860
4 2.750 .258 2.240 3.260
5 2.500 .258 1.990 3.010
6 1.700 .258 1.190 2.210
7 .900 .258 .390 1.410
8 1.850 .258 1.340 2.360
A-Pr 1 .550 .183 .190 .910
2 2.775 .183 2.415 3.135
3 1.550 .183 1.190 1.910
4 1.300 .183 .940 1.660
5 2.525 .183 2.165 2.885
6 1.950 .183 1.590 2.310
7 1.150 .183 .790 1.510
8 1.875 .183 1.515 2.235
B-Pr 1 .250 .258 -.260 .760
2 2.650 .258 2.140 3.160
3 1.450 .258 .940 1.960
4 1.850 .258 1.340 2.360
5 2.550 .258 2.040 3.060
6 1.700 .258 1.190 2.210
7 .550 .258 .040 1.060
8 1.950 .258 1.440 2.460
C-CH 1 .550 .258 .040 1.060
2 2.950 .258 2.440 3.460
3 1.300 .258 .790 1.810
4 2.250 .258 1.740 2.760
5 2.000 .258 1.490 2.510
6 1.650 .258 1.140 2.160
7 .600 .258 .090 1.110
8 1.650 .258 1.140 2.160
D-CH 1 .550 .258 .040 1.060
2 2.400 .258 1.890 2.910
3 1.550 .258 1.040 2.060
4 1.800 .258 1.290 2.310
5 2.700 .258 2.190 3.210
6 1.600 .258 1.090 2.110
7 .750 .258 .240 1.260
8 2.050 .258 1.540 2.560
P 1 .300 .258 -.210 .810
2 2.850 .258 2.340 3.360
3 1.550 .258 1.040 2.060
4 1.800 .258 1.290 2.310
5 2.450 .258 1.940 2.960
6 1.700 .258 1.190 2.210
7 1.100 .258 .590 1.610
8 1.750 .258 1.240 2.260
P+Ar 1 .650 .258 .140 1.160
2 2.800 .258 2.290 3.310
3 1.500 .258 .990 2.010
4 2.550 .258 2.040 3.060
5 3.150 .258 2.640 3.660
6 1.700 .258 1.190 2.210
7 .650 .258 .140 1.160
8 2.300 .258 1.790 2.810

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: EGreen

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.0313 .12906 .809 -.2860 .2235
33%' -.2250 .12906 .083 -.4798 .0298
A-Pr -.0906 .11177 .419 -.3113 .1300
B-Pr .0000 .12906 1.000 -.2548 .2548
C-CH .0000 .12906 1.000 -.2548 .2548
D-CH -.0563 .12906 .664 -.3110 .1985
P -.0688 .12906 .595 -.3235 .1860
P+Ar -.2938(*) .12906 .024 -.5485 -.0390
24%' 16%' .0313 .12906 .809 -.2235 .2860
33%' -.1938 .12906 .135 -.4485 .0610
A-Pr -.0594 .11177 .596 -.2800 .1613
B-Pr .0313 .12906 .809 -.2235 .2860
C-CH .0313 .12906 .809 -.2235 .2860
D-CH -.0250 .12906 .847 -.2798 .2298
P -.0375 .12906 .772 -.2923 .2173
P+Ar -.2625(*) .12906 .044 -.5173 -.0077
33%' 16%' .2250 .12906 .083 -.0298 .4798
24%' .1938 .12906 .135 -.0610 .4485
A-Pr .1344 .11177 .231 -.0863 .3550
B-Pr .2250 .12906 .083 -.0298 .4798
C-CH .2250 .12906 .083 -.0298 .4798
D-CH .1688 .12906 .193 -.0860 .4235
P .1563 .12906 .228 -.0985 .4110
P+Ar -.0688 .12906 .595 -.3235 .1860
A-Pr 16%' .0906 .11177 .419 -.1300 .3113
24%' .0594 .11177 .596 -.1613 .2800
33%' -.1344 .11177 .231 -.3550 .0863
B-Pr .0906 .11177 .419 -.1300 .3113
C-CH .0906 .11177 .419 -.1300 .3113
D-CH .0344 .11177 .759 -.1863 .2550
P .0219 .11177 .845 -.1988 .2425
P+Ar -.2031 .11177 .071 -.4238 .0175
B-Pr 16%' .0000 .12906 1.000 -.2548 .2548
24%' -.0313 .12906 .809 -.2860 .2235
33%' -.2250 .12906 .083 -.4798 .0298
A-Pr -.0906 .11177 .419 -.3113 .1300
C-CH .0000 .12906 1.000 -.2548 .2548
D-CH -.0563 .12906 .664 -.3110 .1985
P -.0688 .12906 .595 -.3235 .1860
P+Ar -.2938(*) .12906 .024 -.5485 -.0390
C-CH 16%' .0000 .12906 1.000 -.2548 .2548
24%' -.0313 .12906 .809 -.2860 .2235
33%' -.2250 .12906 .083 -.4798 .0298
A-Pr -.0906 .11177 .419 -.3113 .1300
B-Pr .0000 .12906 1.000 -.2548 .2548
D-CH -.0563 .12906 .664 -.3110 .1985
P -.0688 .12906 .595 -.3235 .1860
P+Ar -.2938(*) .12906 .024 -.5485 -.0390
D-CH 16%' .0563 .12906 .664 -.1985 .3110
24%' .0250 .12906 .847 -.2298 .2798
33%' -.1688 .12906 .193 -.4235 .0860
A-Pr -.0344 .11177 .759 -.2550 .1863
B-Pr .0563 .12906 .664 -.1985 .3110
C-CH .0563 .12906 .664 -.1985 .3110
P -.0125 .12906 .923 -.2673 .2423
P+Ar -.2375 .12906 .068 -.4923 .0173
P 16%' .0688 .12906 .595 -.1860 .3235
24%' .0375 .12906 .772 -.2173 .2923
33%' -.1563 .12906 .228 -.4110 .0985
A-Pr -.0219 .11177 .845 -.2425 .1988
B-Pr .0688 .12906 .595 -.1860 .3235
C-CH .0688 .12906 .595 -.1860 .3235
D-CH .0125 .12906 .923 -.2423 .2673
P+Ar -.2250 .12906 .083 -.4798 .0298
P+Ar 16%' .2938(*) .12906 .024 .0390 .5485
24%' .2625(*) .12906 .044 .0077 .5173
33%' .0688 .12906 .595 -.1860 .3235
A-Pr .2031 .11177 .071 -.0175 .4238
B-Pr .2938(*) .12906 .024 .0390 .5485
C-CH .2938(*) .12906 .024 .0390 .5485
D-CH .2375 .12906 .068 -.0173 .4923
P .2250 .12906 .083 -.0298 .4798
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

EGreen

Productname N Subset
1
Tukey B(a,b,c) B-Pr 24 1.6188
16%' 24 1.6188
C-CH 24 1.6188
24%' 24 1.6500
D-CH 24 1.6750
P 24 1.6875
A-Pr 48 1.7094
33%' 24 1.8438
P+Ar 24 1.9125
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = .200.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:07
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
EGrainy BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.22

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: EGrainy
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 4039.043 1 4039.043 55.373 .000
Error 510.596 7 72.942(a)

Productname Hypothesis 98.331 8 12.291 2.431 .025
Error 283.187 56 5.057(b)

Panellist Hypothesis 510.596 7 72.942 14.809 .000
Error 282.397 57.335 4.925(c)

Productname * Panellist Hypothesis 283.187 56 5.057 3.276 .000
Error 259.346 168 1.544(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: EGrainy
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 3.506 .254 3.006 4.007
24%' 4.963 .254 4.462 5.463
33%' 4.813 .254 4.312 5.313
A-Pr 5.122 .179 4.768 5.476
B-Pr 4.438 .254 3.937 4.938
C-CH 3.700 .254 3.199 4.201
D-CH 3.431 .254 2.931 3.932
P 3.925 .254 3.424 4.426
P+Ar 3.925 .254 3.424 4.426

2. Panellist
Dependent Variable: EGrainy
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 2.519 .232 2.061 2.978
2 4.894 .232 4.436 5.353
3 2.553 .232 2.094 3.012
4 4.892 .232 4.433 5.350
5 6.831 .232 6.372 7.289
6 5.336 .232 4.877 5.795
7 2.425 .232 1.966 2.884
8 4.169 .232 3.711 4.628

3. Productname * Panellist
Dependent Variable: EGrainy
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 1.050 .717 -.366 2.466
2 3.800 .717 2.384 5.216
3 1.550 .717 .134 2.966
4 5.300 .717 3.884 6.716
5 5.700 .717 4.284 7.116
6 5.000 .717 3.584 6.416
7 1.500 .717 .084 2.916
8 4.150 .717 2.734 5.566
24%' 1 1.550 .717 .134 2.966
2 4.400 .717 2.984 5.816
3 2.200 .717 .784 3.616
4 8.400 .717 6.984 9.816
5 9.100 .717 7.684 10.516
6 5.350 .717 3.934 6.766
7 2.900 .717 1.484 4.316
8 5.800 .717 4.384 7.216
33%' 1 5.500 .717 4.084 6.916
2 6.000 .717 4.584 7.416
3 4.700 .717 3.284 6.116
4 2.300 .717 .884 3.716
5 5.400 .717 3.984 6.816
6 7.350 .717 5.934 8.766
7 3.700 .717 2.284 5.116
8 3.550 .717 2.134 4.966
A-Pr 1 4.725 .507 3.724 5.726
2 6.150 .507 5.149 7.151
3 3.225 .507 2.224 4.226
4 3.475 .507 2.474 4.476
5 8.125 .507 7.124 9.126
6 8.025 .507 7.024 9.026
7 2.775 .507 1.774 3.776
8 4.475 .507 3.474 5.476
B-Pr 1 1.150 .717 -.266 2.566
2 5.200 .717 3.784 6.616
3 1.900 .717 .484 3.316
4 6.500 .717 5.084 7.916
5 7.900 .717 6.484 9.316
6 5.050 .717 3.634 6.466
7 2.900 .717 1.484 4.316
8 4.900 .717 3.484 6.316
C-CH 1 1.500 .717 .084 2.916
2 4.500 .717 3.084 5.916
3 2.450 .717 1.034 3.866
4 4.600 .717 3.184 6.016
5 6.100 .717 4.684 7.516
6 4.350 .717 2.934 5.766
7 2.550 .717 1.134 3.966
8 3.550 .717 2.134 4.966
D-CH 1 2.950 .717 1.534 4.366
2 4.300 .717 2.884 5.716
3 3.300 .717 1.884 4.716
4 1.750 .717 .334 3.166
5 5.300 .717 3.884 6.716
6 5.250 .717 3.834 6.666
7 1.250 .717 -.166 2.666
8 3.350 .717 1.934 4.766
P 1 2.750 .717 1.334 4.166
2 4.700 .717 3.284 6.116
3 1.750 .717 .334 3.166
4 6.000 .717 4.584 7.416
5 6.950 .717 5.534 8.366
6 3.400 .717 1.984 4.816
7 2.100 .717 .684 3.516
8 3.750 .717 2.334 5.166
P+Ar 1 1.500 .717 .084 2.916
2 5.000 .717 3.584 6.416
3 1.900 .717 .484 3.316
4 5.700 .717 4.284 7.116
5 6.900 .717 5.484 8.316
6 4.250 .717 2.834 5.666
7 2.150 .717 .734 3.566
8 4.000 .717 2.584 5.416

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: EGrainy

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -1.4563(*) .35867 .000 -2.1643 -.7482
33%' -1.3063(*) .35867 .000 -2.0143 -.5982
A-Pr -1.6156(*) .31062 .000 -2.2288 -1.0024
B-Pr -.9313(*) .35867 .010 -1.6393 -.2232
C-CH -.1938 .35867 .590 -.9018 .5143
D-CH .0750 .35867 .835 -.6331 .7831
P -.4188 .35867 .245 -1.1268 .2893
P+Ar -.4188 .35867 .245 -1.1268 .2893
24%' 16%' 1.4563(*) .35867 .000 .7482 2.1643
33%' .1500 .35867 .676 -.5581 .8581
A-Pr -.1594 .31062 .609 -.7726 .4538
B-Pr .5250 .35867 .145 -.1831 1.2331
C-CH 1.2625(*) .35867 .001 .5544 1.9706
D-CH 1.5313(*) .35867 .000 .8232 2.2393
P 1.0375(*) .35867 .004 .3294 1.7456
P+Ar 1.0375(*) .35867 .004 .3294 1.7456
33%' 16%' 1.3063(*) .35867 .000 .5982 2.0143
24%' -.1500 .35867 .676 -.8581 .5581
A-Pr -.3094 .31062 .321 -.9226 .3038
B-Pr .3750 .35867 .297 -.3331 1.0831
C-CH 1.1125(*) .35867 .002 .4044 1.8206
D-CH 1.3813(*) .35867 .000 .6732 2.0893
P .8875(*) .35867 .014 .1794 1.5956
P+Ar .8875(*) .35867 .014 .1794 1.5956
A-Pr 16%' 1.6156(*) .31062 .000 1.0024 2.2288
24%' .1594 .31062 .609 -.4538 .7726
33%' .3094 .31062 .321 -.3038 .9226
B-Pr .6844(*) .31062 .029 .0712 1.2976
C-CH 1.4219(*) .31062 .000 .8087 2.0351
D-CH 1.6906(*) .31062 .000 1.0774 2.3038
P 1.1969(*) .31062 .000 .5837 1.8101
P+Ar 1.1969(*) .31062 .000 .5837 1.8101
B-Pr 16%' .9313(*) .35867 .010 .2232 1.6393
24%' -.5250 .35867 .145 -1.2331 .1831
33%' -.3750 .35867 .297 -1.0831 .3331
A-Pr -.6844(*) .31062 .029 -1.2976 -.0712
C-CH .7375(*) .35867 .041 .0294 1.4456
D-CH 1.0063(*) .35867 .006 .2982 1.7143
P .5125 .35867 .155 -.1956 1.2206
P+Ar .5125 .35867 .155 -.1956 1.2206
C-CH 16%' .1938 .35867 .590 -.5143 .9018
24%' -1.2625(*) .35867 .001 -1.9706 -.5544
33%' -1.1125(*) .35867 .002 -1.8206 -.4044
A-Pr -1.4219(*) .31062 .000 -2.0351 -.8087
B-Pr -.7375(*) .35867 .041 -1.4456 -.0294
D-CH .2688 .35867 .455 -.4393 .9768
P -.2250 .35867 .531 -.9331 .4831
P+Ar -.2250 .35867 .531 -.9331 .4831
D-CH 16%' -.0750 .35867 .835 -.7831 .6331
24%' -1.5313(*) .35867 .000 -2.2393 -.8232
33%' -1.3813(*) .35867 .000 -2.0893 -.6732
A-Pr -1.6906(*) .31062 .000 -2.3038 -1.0774
B-Pr -1.0063(*) .35867 .006 -1.7143 -.2982
C-CH -.2688 .35867 .455 -.9768 .4393
P -.4938 .35867 .170 -1.2018 .2143
P+Ar -.4938 .35867 .170 -1.2018 .2143
P 16%' .4188 .35867 .245 -.2893 1.1268
24%' -1.0375(*) .35867 .004 -1.7456 -.3294
33%' -.8875(*) .35867 .014 -1.5956 -.1794
A-Pr -1.1969(*) .31062 .000 -1.8101 -.5837
B-Pr -.5125 .35867 .155 -1.2206 .1956
C-CH .2250 .35867 .531 -.4831 .9331
D-CH .4938 .35867 .170 -.2143 1.2018
P+Ar .0000 .35867 1.000 -.7081 .7081
P+Ar 16%' .4188 .35867 .245 -.2893 1.1268
24%' -1.0375(*) .35867 .004 -1.7456 -.3294
33%' -.8875(*) .35867 .014 -1.5956 -.1794
A-Pr -1.1969(*) .31062 .000 -1.8101 -.5837
B-Pr -.5125 .35867 .155 -1.2206 .1956
C-CH .2250 .35867 .531 -.4831 .9331
D-CH .4938 .35867 .170 -.2143 1.2018
P .0000 .35867 1.000 -.7081 .7081
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

EGrainy

Productname N Subset
1 2 3
Tukey B(a,b,c) D-CH 24 3.4313

16%' 24 3.5063

C-CH 24 3.7000

P 24 3.9250 3.9250
P+Ar 24 3.9250 3.9250
B-Pr 24 4.4375 4.4375 4.4375
33%' 24
4.8125 4.8125
24%' 24

4.9625
A-Pr 48

5.1219
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.544.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:07
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
EShiny BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.43

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: EShiny
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 15383.393 1 15383.393 399.351 .000
Error 269.647 7 38.521(a)

Productname Hypothesis 819.139 8 102.392 38.685 .000
Error 148.223 56 2.647(b)

Panellist Hypothesis 269.647 7 38.521 14.877 .000
Error 149.762 57.838 2.589(c)

Productname * Panellist Hypothesis 148.223 56 2.647 2.383 .000
Error 186.638 168 1.111(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: EShiny
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 10.694 .215 10.269 11.118
24%' 8.175 .215 7.750 8.600
33%' 4.838 .215 4.413 5.262
A-Pr 7.275 .152 6.975 7.575
B-Pr 8.469 .215 8.044 8.893
C-CH 9.288 .215 8.863 9.712
D-CH 5.356 .215 4.932 5.781
P 10.113 .215 9.688 10.537
P+Ar 9.606 .215 9.182 10.031

2. Panellist
Dependent Variable: EShiny
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 9.236 .197 8.847 9.625
2 9.681 .197 9.291 10.070
3 8.019 .197 7.630 8.409
4 8.206 .197 7.816 8.595
5 7.886 .197 7.497 8.275
6 9.164 .197 8.775 9.553
7 7.286 .197 6.897 7.675
8 6.133 .197 5.744 6.523

3. Productname * Panellist
Dependent Variable: EShiny
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 13.150 .609 11.949 14.351
2 11.900 .609 10.699 13.101
3 10.600 .609 9.399 11.801
4 11.300 .609 10.099 12.501
5 10.850 .609 9.649 12.051
6 11.700 .609 10.499 12.901
7 9.850 .609 8.649 11.051
8 6.200 .609 4.999 7.401
24%' 1 8.200 .609 6.999 9.401
2 9.250 .609 8.049 10.451
3 8.800 .609 7.599 10.001
4 9.350 .609 8.149 10.551
5 6.950 .609 5.749 8.151
6 9.500 .609 8.299 10.701
7 7.250 .609 6.049 8.451
8 6.100 .609 4.899 7.301
33%' 1 5.400 .609 4.199 6.601
2 6.500 .609 5.299 7.701
3 4.650 .609 3.449 5.851
4 3.450 .609 2.249 4.651
5 4.800 .609 3.599 6.001
6 5.050 .609 3.849 6.251
7 4.700 .609 3.499 5.901
8 4.150 .609 2.949 5.351
A-Pr 1 7.125 .430 6.276 7.974
2 8.425 .430 7.576 9.274
3 6.725 .430 5.876 7.574
4 8.650 .430 7.801 9.499
5 6.725 .430 5.876 7.574
6 8.025 .430 7.176 8.874
7 6.325 .430 5.476 7.174
8 6.200 .430 5.351 7.049
B-Pr 1 10.300 .609 9.099 11.501
2 9.050 .609 7.849 10.251
3 8.300 .609 7.099 9.501
4 8.450 .609 7.249 9.651
5 8.150 .609 6.949 9.351
6 10.050 .609 8.849 11.251
7 7.350 .609 6.149 8.551
8 6.100 .609 4.899 7.301
C-CH 1 10.200 .609 8.999 11.401
2 11.150 .609 9.949 12.351
3 9.200 .609 7.999 10.401
4 10.100 .609 8.899 11.301
5 9.400 .609 8.199 10.601
6 10.350 .609 9.149 11.551
7 7.700 .609 6.499 8.901
8 6.200 .609 4.999 7.401
D-CH 1 6.250 .609 5.049 7.451
2 8.050 .609 6.849 9.251
3 5.950 .609 4.749 7.151
4 2.400 .609 1.199 3.601
5 4.600 .609 3.399 5.801
6 6.300 .609 5.099 7.501
7 5.950 .609 4.749 7.151
8 3.350 .609 2.149 4.551
P 1 11.350 .609 10.149 12.551
2 11.700 .609 10.499 12.901
3 9.100 .609 7.899 10.301
4 10.150 .609 8.949 11.351
5 9.850 .609 8.649 11.051
6 11.750 .609 10.549 12.951
7 8.250 .609 7.049 9.451
8 8.750 .609 7.549 9.951
P+Ar 1 11.150 .609 9.949 12.351
2 11.100 .609 9.899 12.301
3 8.850 .609 7.649 10.051
4 10.000 .609 8.799 11.201
5 9.650 .609 8.449 10.851
6 9.750 .609 8.549 10.951
7 8.200 .609 6.999 9.401
8 8.150 .609 6.949 9.351

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: EShiny

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' 2.5188(*) .30427 .000 1.9181 3.1194
33%' 5.8563(*) .30427 .000 5.2556 6.4569
A-Pr 3.4188(*) .26350 .000 2.8985 3.9390
B-Pr 2.2250(*) .30427 .000 1.6243 2.8257
C-CH 1.4063(*) .30427 .000 .8056 2.0069
D-CH 5.3375(*) .30427 .000 4.7368 5.9382
P .5813 .30427 .058 -.0194 1.1819
P+Ar 1.0875(*) .30427 .000 .4868 1.6882
24%' 16%' -2.5188(*) .30427 .000 -3.1194 -1.9181
33%' 3.3375(*) .30427 .000 2.7368 3.9382
A-Pr .9000(*) .26350 .001 .3798 1.4202
B-Pr -.2938 .30427 .336 -.8944 .3069
C-CH -1.1125(*) .30427 .000 -1.7132 -.5118
D-CH 2.8188(*) .30427 .000 2.2181 3.4194
P -1.9375(*) .30427 .000 -2.5382 -1.3368
P+Ar -1.4313(*) .30427 .000 -2.0319 -.8306
33%' 16%' -5.8563(*) .30427 .000 -6.4569 -5.2556
24%' -3.3375(*) .30427 .000 -3.9382 -2.7368
A-Pr -2.4375(*) .26350 .000 -2.9577 -1.9173
B-Pr -3.6313(*) .30427 .000 -4.2319 -3.0306
C-CH -4.4500(*) .30427 .000 -5.0507 -3.8493
D-CH -.5188 .30427 .090 -1.1194 .0819
P -5.2750(*) .30427 .000 -5.8757 -4.6743
P+Ar -4.7688(*) .30427 .000 -5.3694 -4.1681
A-Pr 16%' -3.4188(*) .26350 .000 -3.9390 -2.8985
24%' -.9000(*) .26350 .001 -1.4202 -.3798
33%' 2.4375(*) .26350 .000 1.9173 2.9577
B-Pr -1.1938(*) .26350 .000 -1.7140 -.6735
C-CH -2.0125(*) .26350 .000 -2.5327 -1.4923
D-CH 1.9188(*) .26350 .000 1.3985 2.4390
P -2.8375(*) .26350 .000 -3.3577 -2.3173
P+Ar -2.3313(*) .26350 .000 -2.8515 -1.8110
B-Pr 16%' -2.2250(*) .30427 .000 -2.8257 -1.6243
24%' .2938 .30427 .336 -.3069 .8944
33%' 3.6313(*) .30427 .000 3.0306 4.2319
A-Pr 1.1938(*) .26350 .000 .6735 1.7140
C-CH -.8188(*) .30427 .008 -1.4194 -.2181
D-CH 3.1125(*) .30427 .000 2.5118 3.7132
P -1.6438(*) .30427 .000 -2.2444 -1.0431
P+Ar -1.1375(*) .30427 .000 -1.7382 -.5368
C-CH 16%' -1.4063(*) .30427 .000 -2.0069 -.8056
24%' 1.1125(*) .30427 .000 .5118 1.7132
33%' 4.4500(*) .30427 .000 3.8493 5.0507
A-Pr 2.0125(*) .26350 .000 1.4923 2.5327
B-Pr .8188(*) .30427 .008 .2181 1.4194
D-CH 3.9313(*) .30427 .000 3.3306 4.5319
P -.8250(*) .30427 .007 -1.4257 -.2243
P+Ar -.3188 .30427 .296 -.9194 .2819
D-CH 16%' -5.3375(*) .30427 .000 -5.9382 -4.7368
24%' -2.8188(*) .30427 .000 -3.4194 -2.2181
33%' .5188 .30427 .090 -.0819 1.1194
A-Pr -1.9188(*) .26350 .000 -2.4390 -1.3985
B-Pr -3.1125(*) .30427 .000 -3.7132 -2.5118
C-CH -3.9313(*) .30427 .000 -4.5319 -3.3306
P -4.7563(*) .30427 .000 -5.3569 -4.1556
P+Ar -4.2500(*) .30427 .000 -4.8507 -3.6493
P 16%' -.5813 .30427 .058 -1.1819 .0194
24%' 1.9375(*) .30427 .000 1.3368 2.5382
33%' 5.2750(*) .30427 .000 4.6743 5.8757
A-Pr 2.8375(*) .26350 .000 2.3173 3.3577
B-Pr 1.6438(*) .30427 .000 1.0431 2.2444
C-CH .8250(*) .30427 .007 .2243 1.4257
D-CH 4.7563(*) .30427 .000 4.1556 5.3569
P+Ar .5063 .30427 .098 -.0944 1.1069
P+Ar 16%' -1.0875(*) .30427 .000 -1.6882 -.4868
24%' 1.4313(*) .30427 .000 .8306 2.0319
33%' 4.7688(*) .30427 .000 4.1681 5.3694
A-Pr 2.3313(*) .26350 .000 1.8110 2.8515
B-Pr 1.1375(*) .30427 .000 .5368 1.7382
C-CH .3188 .30427 .296 -.2819 .9194
D-CH 4.2500(*) .30427 .000 3.6493 4.8507
P -.5063 .30427 .098 -1.1069 .0944
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

EShiny

Productname N Subset
1 2 3 4 5 6
Tukey B(a,b,c) 33%' 24 4.8375




D-CH 24 5.3563




A-Pr 48
7.2750



24%' 24

8.1750


B-Pr 24

8.4688


C-CH 24


9.2875

P+Ar 24


9.6063 9.6063
P 24



10.1125 10.1125
16%' 24




10.6938
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.111.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:07
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
HResistance BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.43

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: HResistance
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 10411.837 1 10411.837 705.273 .000
Error 103.340 7 14.763(a)

Productname Hypothesis 669.806 8 83.726 40.802 .000
Error 114.911 56 2.052(b)

Panellist Hypothesis 103.340 7 14.763 7.328 .000
Error 117.341 58.247 2.015(c)

Productname * Panellist Hypothesis 114.911 56 2.052 1.951 .001
Error 176.678 168 1.052(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: HResistance
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 4.719 .209 4.305 5.132
24%' 8.838 .209 8.424 9.251
33%' 8.781 .209 8.368 9.195
A-Pr 7.275 .148 6.983 7.567
B-Pr 6.050 .209 5.637 6.463
C-CH 4.706 .209 4.293 5.120
D-CH 9.375 .209 8.962 9.788
P 5.344 .209 4.930 5.757
P+Ar 5.638 .209 5.224 6.051

2. Panellist
Dependent Variable: HResistance
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 7.342 .192 6.963 7.720
2 5.631 .192 5.252 6.009
3 7.131 .192 6.752 7.509
4 6.578 .192 6.199 6.956
5 6.208 .192 5.830 6.587
6 6.103 .192 5.724 6.481
7 7.392 .192 7.013 7.770
8 7.594 .192 7.216 7.973

3. Productname * Panellist
Dependent Variable: HResistance
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 5.850 .592 4.681 7.019
2 4.200 .592 3.031 5.369
3 5.350 .592 4.181 6.519
4 3.750 .592 2.581 4.919
5 4.450 .592 3.281 5.619
6 3.800 .592 2.631 4.969
7 5.000 .592 3.831 6.169
8 5.350 .592 4.181 6.519
24%' 1 10.250 .592 9.081 11.419
2 8.200 .592 7.031 9.369
3 8.200 .592 7.031 9.369
4 7.850 .592 6.681 9.019
5 8.650 .592 7.481 9.819
6 8.200 .592 7.031 9.369
7 9.300 .592 8.131 10.469
8 10.050 .592 8.881 11.219
33%' 1 8.150 .592 6.981 9.319
2 6.650 .592 5.481 7.819
3 8.250 .592 7.081 9.419
4 9.300 .592 8.131 10.469
5 8.850 .592 7.681 10.019
6 8.050 .592 6.881 9.219
7 9.650 .592 8.481 10.819
8 11.350 .592 10.181 12.519
A-Pr 1 8.325 .419 7.498 9.152
2 5.925 .419 5.098 6.752
3 8.875 .419 8.048 9.702
4 6.050 .419 5.223 6.877
5 6.825 .419 5.998 7.652
6 7.075 .419 6.248 7.902
7 8.225 .419 7.398 9.052
8 6.900 .419 6.073 7.727
B-Pr 1 7.750 .592 6.581 8.919
2 5.400 .592 4.231 6.569
3 6.950 .592 5.781 8.119
4 6.400 .592 5.231 7.569
5 5.300 .592 4.131 6.469
6 3.700 .592 2.531 4.869
7 7.650 .592 6.481 8.819
8 5.250 .592 4.081 6.419
C-CH 1 5.150 .592 3.981 6.319
2 3.500 .592 2.331 4.669
3 5.150 .592 3.981 6.319
4 5.250 .592 4.081 6.419
5 4.350 .592 3.181 5.519
6 3.750 .592 2.581 4.919
7 5.100 .592 3.931 6.269
8 5.400 .592 4.231 6.569
D-CH 1 9.950 .592 8.781 11.119
2 8.050 .592 6.881 9.219
3 9.800 .592 8.631 10.969
4 10.450 .592 9.281 11.619
5 7.700 .592 6.531 8.869
6 9.100 .592 7.931 10.269
7 9.200 .592 8.031 10.369
8 10.750 .592 9.581 11.919
P 1 5.050 .592 3.881 6.219
2 4.200 .592 3.031 5.369
3 5.300 .592 4.131 6.469
4 4.850 .592 3.681 6.019
5 4.400 .592 3.231 5.569
6 5.600 .592 4.431 6.769
7 6.800 .592 5.631 7.969
8 6.550 .592 5.381 7.719
P+Ar 1 5.600 .592 4.431 6.769
2 4.550 .592 3.381 5.719
3 6.300 .592 5.131 7.469
4 5.300 .592 4.131 6.469
5 5.350 .592 4.181 6.519
6 5.650 .592 4.481 6.819
7 5.600 .592 4.431 6.769
8 6.750 .592 5.581 7.919

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: HResistance

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -4.1188(*) .29604 .000 -4.7032 -3.5343
33%' -4.0625(*) .29604 .000 -4.6469 -3.4781
A-Pr -2.5563(*) .25638 .000 -3.0624 -2.0501
B-Pr -1.3313(*) .29604 .000 -1.9157 -.7468
C-CH .0125 .29604 .966 -.5719 .5969
D-CH -4.6563(*) .29604 .000 -5.2407 -4.0718
P -.6250(*) .29604 .036 -1.2094 -.0406
P+Ar -.9188(*) .29604 .002 -1.5032 -.3343
24%' 16%' 4.1188(*) .29604 .000 3.5343 4.7032
33%' .0563 .29604 .850 -.5282 .6407
A-Pr 1.5625(*) .25638 .000 1.0564 2.0686
B-Pr 2.7875(*) .29604 .000 2.2031 3.3719
C-CH 4.1313(*) .29604 .000 3.5468 4.7157
D-CH -.5375 .29604 .071 -1.1219 .0469
P 3.4938(*) .29604 .000 2.9093 4.0782
P+Ar 3.2000(*) .29604 .000 2.6156 3.7844
33%' 16%' 4.0625(*) .29604 .000 3.4781 4.6469
24%' -.0563 .29604 .850 -.6407 .5282
A-Pr 1.5063(*) .25638 .000 1.0001 2.0124
B-Pr 2.7313(*) .29604 .000 2.1468 3.3157
C-CH 4.0750(*) .29604 .000 3.4906 4.6594
D-CH -.5938(*) .29604 .046 -1.1782 -.0093
P 3.4375(*) .29604 .000 2.8531 4.0219
P+Ar 3.1438(*) .29604 .000 2.5593 3.7282
A-Pr 16%' 2.5563(*) .25638 .000 2.0501 3.0624
24%' -1.5625(*) .25638 .000 -2.0686 -1.0564
33%' -1.5063(*) .25638 .000 -2.0124 -1.0001
B-Pr 1.2250(*) .25638 .000 .7189 1.7311
C-CH 2.5688(*) .25638 .000 2.0626 3.0749
D-CH -2.1000(*) .25638 .000 -2.6061 -1.5939
P 1.9313(*) .25638 .000 1.4251 2.4374
P+Ar 1.6375(*) .25638 .000 1.1314 2.1436
B-Pr 16%' 1.3313(*) .29604 .000 .7468 1.9157
24%' -2.7875(*) .29604 .000 -3.3719 -2.2031
33%' -2.7313(*) .29604 .000 -3.3157 -2.1468
A-Pr -1.2250(*) .25638 .000 -1.7311 -.7189
C-CH 1.3438(*) .29604 .000 .7593 1.9282
D-CH -3.3250(*) .29604 .000 -3.9094 -2.7406
P .7063(*) .29604 .018 .1218 1.2907
P+Ar .4125 .29604 .165 -.1719 .9969
C-CH 16%' -.0125 .29604 .966 -.5969 .5719
24%' -4.1313(*) .29604 .000 -4.7157 -3.5468
33%' -4.0750(*) .29604 .000 -4.6594 -3.4906
A-Pr -2.5688(*) .25638 .000 -3.0749 -2.0626
B-Pr -1.3438(*) .29604 .000 -1.9282 -.7593
D-CH -4.6688(*) .29604 .000 -5.2532 -4.0843
P -.6375(*) .29604 .033 -1.2219 -.0531
P+Ar -.9313(*) .29604 .002 -1.5157 -.3468
D-CH 16%' 4.6563(*) .29604 .000 4.0718 5.2407
24%' .5375 .29604 .071 -.0469 1.1219
33%' .5938(*) .29604 .046 .0093 1.1782
A-Pr 2.1000(*) .25638 .000 1.5939 2.6061
B-Pr 3.3250(*) .29604 .000 2.7406 3.9094
C-CH 4.6688(*) .29604 .000 4.0843 5.2532
P 4.0313(*) .29604 .000 3.4468 4.6157
P+Ar 3.7375(*) .29604 .000 3.1531 4.3219
P 16%' .6250(*) .29604 .036 .0406 1.2094
24%' -3.4938(*) .29604 .000 -4.0782 -2.9093
33%' -3.4375(*) .29604 .000 -4.0219 -2.8531
A-Pr -1.9313(*) .25638 .000 -2.4374 -1.4251
B-Pr -.7063(*) .29604 .018 -1.2907 -.1218
C-CH .6375(*) .29604 .033 .0531 1.2219
D-CH -4.0313(*) .29604 .000 -4.6157 -3.4468
P+Ar -.2938 .29604 .322 -.8782 .2907
P+Ar 16%' .9188(*) .29604 .002 .3343 1.5032
24%' -3.2000(*) .29604 .000 -3.7844 -2.6156
33%' -3.1438(*) .29604 .000 -3.7282 -2.5593
A-Pr -1.6375(*) .25638 .000 -2.1436 -1.1314
B-Pr -.4125 .29604 .165 -.9969 .1719
C-CH .9313(*) .29604 .002 .3468 1.5157
D-CH -3.7375(*) .29604 .000 -4.3219 -3.1531
P .2938 .29604 .322 -.2907 .8782
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

HResistance

Productname N Subset
1 2 3 4
Tukey B(a,b,c) C-CH 24 4.7063


16%' 24 4.7188


P 24 5.3438 5.3438

P+Ar 24
5.6375

B-Pr 24
6.0500

A-Pr 48

7.2750
33%' 24


8.7813
24%' 24


8.8375
D-CH 24


9.3750
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.052.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:08
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MFirm BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.43

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MFirm
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 11147.742 1 11147.742 488.727 .000
Error 159.668 7 22.810(a)

Productname Hypothesis 938.398 8 117.300 45.104 .000
Error 145.636 56 2.601(b)

Panellist Hypothesis 159.668 7 22.810 8.955 .000
Error 147.649 57.969 2.547(c)

Productname * Panellist Hypothesis 145.636 56 2.601 2.225 .000
Error 196.369 168 1.169(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MFirm
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 5.125 .221 4.689 5.561
24%' 9.206 .221 8.771 9.642
33%' 8.319 .221 7.883 8.754
A-Pr 8.747 .156 8.439 9.055
B-Pr 6.325 .221 5.889 6.761
C-CH 4.181 .221 3.746 4.617
D-CH 10.106 .221 9.671 10.542
P 5.544 .221 5.108 5.979
P+Ar 5.281 .221 4.846 5.717

2. Panellist
Dependent Variable: MFirm
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 7.903 .202 7.504 8.302
2 5.694 .202 5.295 6.094
3 7.597 .202 7.198 7.996
4 7.333 .202 6.934 7.733
5 7.775 .202 7.376 8.174
6 6.042 .202 5.642 6.441
7 6.061 .202 5.662 6.460
8 7.447 .202 7.048 7.846

3. Productname * Panellist
Dependent Variable: MFirm
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 7.450 .624 6.218 8.682
2 4.000 .624 2.768 5.232
3 6.200 .624 4.968 7.432
4 4.850 .624 3.618 6.082
5 5.350 .624 4.118 6.582
6 5.100 .624 3.868 6.332
7 2.700 .624 1.468 3.932
8 5.350 .624 4.118 6.582
24%' 1 10.200 .624 8.968 11.432
2 7.850 .624 6.618 9.082
3 9.900 .624 8.668 11.132
4 8.900 .624 7.668 10.132
5 9.900 .624 8.668 11.132
6 8.000 .624 6.768 9.232
7 8.600 .624 7.368 9.832
8 10.300 .624 9.068 11.532
33%' 1 7.950 .624 6.718 9.182
2 6.650 .624 5.418 7.882
3 8.600 .624 7.368 9.832
4 8.600 .624 7.368 9.832
5 10.850 .624 9.618 12.082
6 6.850 .624 5.618 8.082
7 7.050 .624 5.818 8.282
8 10.000 .624 8.768 11.232
A-Pr 1 8.275 .441 7.404 9.146
2 6.850 .441 5.979 7.721
3 9.575 .441 8.704 10.446
4 9.300 .441 8.429 10.171
5 9.175 .441 8.304 10.046
6 8.225 .441 7.354 9.096
7 9.600 .441 8.729 10.471
8 8.975 .441 8.104 9.846
B-Pr 1 8.250 .624 7.018 9.482
2 5.700 .624 4.468 6.932
3 7.750 .624 6.518 8.982
4 7.350 .624 6.118 8.582
5 7.850 .624 6.618 9.082
6 4.450 .624 3.218 5.682
7 4.050 .624 2.818 5.282
8 5.200 .624 3.968 6.432
C-CH 1 6.250 .624 5.018 7.482
2 3.850 .624 2.618 5.082
3 3.750 .624 2.518 4.982
4 4.550 .624 3.318 5.782
5 4.800 .624 3.568 6.032
6 3.150 .624 1.918 4.382
7 3.600 .624 2.368 4.832
8 3.500 .624 2.268 4.732
D-CH 1 9.950 .624 8.718 11.182
2 8.200 .624 6.968 9.432
3 10.600 .624 9.368 11.832
4 11.450 .624 10.218 12.682
5 9.800 .624 8.568 11.032
6 9.550 .624 8.318 10.782
7 10.250 .624 9.018 11.482
8 11.050 .624 9.818 12.282
P 1 6.450 .624 5.218 7.682
2 4.350 .624 3.118 5.582
3 5.500 .624 4.268 6.732
4 5.050 .624 3.818 6.282
5 6.200 .624 4.968 7.432
6 4.500 .624 3.268 5.732
7 5.650 .624 4.418 6.882
8 6.650 .624 5.418 7.882
P+Ar 1 6.350 .624 5.118 7.582
2 3.800 .624 2.568 5.032
3 6.500 .624 5.268 7.732
4 5.950 .624 4.718 7.182
5 6.050 .624 4.818 7.282
6 4.550 .624 3.318 5.782
7 3.050 .624 1.818 4.282
8 6.000 .624 4.768 7.232

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MFirm

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -4.0813(*) .31210 .000 -4.6974 -3.4651
33%' -3.1938(*) .31210 .000 -3.8099 -2.5776
A-Pr -3.6219(*) .27028 .000 -4.1555 -3.0883
B-Pr -1.2000(*) .31210 .000 -1.8161 -.5839
C-CH .9438(*) .31210 .003 .3276 1.5599
D-CH -4.9813(*) .31210 .000 -5.5974 -4.3651
P -.4188 .31210 .181 -1.0349 .1974
P+Ar -.1563 .31210 .617 -.7724 .4599
24%' 16%' 4.0813(*) .31210 .000 3.4651 4.6974
33%' .8875(*) .31210 .005 .2714 1.5036
A-Pr .4594 .27028 .091 -.0742 .9930
B-Pr 2.8813(*) .31210 .000 2.2651 3.4974
C-CH 5.0250(*) .31210 .000 4.4089 5.6411
D-CH -.9000(*) .31210 .004 -1.5161 -.2839
P 3.6625(*) .31210 .000 3.0464 4.2786
P+Ar 3.9250(*) .31210 .000 3.3089 4.5411
33%' 16%' 3.1938(*) .31210 .000 2.5776 3.8099
24%' -.8875(*) .31210 .005 -1.5036 -.2714
A-Pr -.4281 .27028 .115 -.9617 .1055
B-Pr 1.9938(*) .31210 .000 1.3776 2.6099
C-CH 4.1375(*) .31210 .000 3.5214 4.7536
D-CH -1.7875(*) .31210 .000 -2.4036 -1.1714
P 2.7750(*) .31210 .000 2.1589 3.3911
P+Ar 3.0375(*) .31210 .000 2.4214 3.6536
A-Pr 16%' 3.6219(*) .27028 .000 3.0883 4.1555
24%' -.4594 .27028 .091 -.9930 .0742
33%' .4281 .27028 .115 -.1055 .9617
B-Pr 2.4219(*) .27028 .000 1.8883 2.9555
C-CH 4.5656(*) .27028 .000 4.0320 5.0992
D-CH -1.3594(*) .27028 .000 -1.8930 -.8258
P 3.2031(*) .27028 .000 2.6695 3.7367
P+Ar 3.4656(*) .27028 .000 2.9320 3.9992
B-Pr 16%' 1.2000(*) .31210 .000 .5839 1.8161
24%' -2.8813(*) .31210 .000 -3.4974 -2.2651
33%' -1.9938(*) .31210 .000 -2.6099 -1.3776
A-Pr -2.4219(*) .27028 .000 -2.9555 -1.8883
C-CH 2.1438(*) .31210 .000 1.5276 2.7599
D-CH -3.7813(*) .31210 .000 -4.3974 -3.1651
P .7813(*) .31210 .013 .1651 1.3974
P+Ar 1.0438(*) .31210 .001 .4276 1.6599
C-CH 16%' -.9438(*) .31210 .003 -1.5599 -.3276
24%' -5.0250(*) .31210 .000 -5.6411 -4.4089
33%' -4.1375(*) .31210 .000 -4.7536 -3.5214
A-Pr -4.5656(*) .27028 .000 -5.0992 -4.0320
B-Pr -2.1438(*) .31210 .000 -2.7599 -1.5276
D-CH -5.9250(*) .31210 .000 -6.5411 -5.3089
P -1.3625(*) .31210 .000 -1.9786 -.7464
P+Ar -1.1000(*) .31210 .001 -1.7161 -.4839
D-CH 16%' 4.9813(*) .31210 .000 4.3651 5.5974
24%' .9000(*) .31210 .004 .2839 1.5161
33%' 1.7875(*) .31210 .000 1.1714 2.4036
A-Pr 1.3594(*) .27028 .000 .8258 1.8930
B-Pr 3.7813(*) .31210 .000 3.1651 4.3974
C-CH 5.9250(*) .31210 .000 5.3089 6.5411
P 4.5625(*) .31210 .000 3.9464 5.1786
P+Ar 4.8250(*) .31210 .000 4.2089 5.4411
P 16%' .4188 .31210 .181 -.1974 1.0349
24%' -3.6625(*) .31210 .000 -4.2786 -3.0464
33%' -2.7750(*) .31210 .000 -3.3911 -2.1589
A-Pr -3.2031(*) .27028 .000 -3.7367 -2.6695
B-Pr -.7813(*) .31210 .013 -1.3974 -.1651
C-CH 1.3625(*) .31210 .000 .7464 1.9786
D-CH -4.5625(*) .31210 .000 -5.1786 -3.9464
P+Ar .2625 .31210 .401 -.3536 .8786
P+Ar 16%' .1563 .31210 .617 -.4599 .7724
24%' -3.9250(*) .31210 .000 -4.5411 -3.3089
33%' -3.0375(*) .31210 .000 -3.6536 -2.4214
A-Pr -3.4656(*) .27028 .000 -3.9992 -2.9320
B-Pr -1.0438(*) .31210 .001 -1.6599 -.4276
C-CH 1.1000(*) .31210 .001 .4839 1.7161
D-CH -4.8250(*) .31210 .000 -5.4411 -4.2089
P -.2625 .31210 .401 -.8786 .3536
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MFirm

Productname N Subset
1 2 3 4 5 6
Tukey B(a,b,c) C-CH 24 4.1813




16%' 24
5.1250



P+Ar 24
5.2813



P 24
5.5438



B-Pr 24

6.3250


33%' 24


8.3188

A-Pr 48


8.7469 8.7469
24%' 24



9.2063
D-CH 24




10.1063
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.169.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:08
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MMeltdown BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.38

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MMeltdown
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 14150.838 1 14150.838 274.146 .000
Error 361.326 7 51.618(a)

Productname Hypothesis 568.872 8 71.109 28.921 .000
Error 137.688 56 2.459(b)

Panellist Hypothesis 361.326 7 51.618 21.112 .000
Error 146.078 59.746 2.445(c)

Productname * Panellist Hypothesis 137.688 56 2.459 1.175 .216
Error 351.473 168 2.092(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MMeltdown
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 9.131 .295 8.548 9.714
24%' 5.963 .295 5.380 6.545
33%' 7.706 .295 7.123 8.289
A-Pr 6.369 .209 5.957 6.781
B-Pr 7.881 .295 7.298 8.464
C-CH 9.656 .295 9.073 10.239
D-CH 5.338 .295 4.755 5.920
P 9.231 .295 8.648 9.814
P+Ar 9.519 .295 8.936 10.102

2. Panellist
Dependent Variable: MMeltdown
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 7.708 .271 7.174 8.242
2 6.619 .271 6.085 7.153
3 7.786 .271 7.252 8.320
4 9.186 .271 8.652 9.720
5 8.697 .271 8.163 9.231
6 9.044 .271 8.510 9.578
7 8.606 .271 8.072 9.140
8 5.281 .271 4.747 5.815

3. Productname * Panellist
Dependent Variable: MMeltdown
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 8.400 .835 6.751 10.049
2 6.200 .835 4.551 7.849
3 8.950 .835 7.301 10.599
4 11.850 .835 10.201 13.499
5 10.850 .835 9.201 12.499
6 10.950 .835 9.301 12.599
7 9.750 .835 8.101 11.399
8 6.100 .835 4.451 7.749
24%' 1 4.700 .835 3.051 6.349
2 5.300 .835 3.651 6.949
3 5.200 .835 3.551 6.849
4 8.100 .835 6.451 9.749
5 7.000 .835 5.351 8.649
6 6.350 .835 4.701 7.999
7 7.350 .835 5.701 8.999
8 3.700 .835 2.051 5.349
33%' 1 8.200 .835 6.551 9.849
2 7.400 .835 5.751 9.049
3 7.400 .835 5.751 9.049
4 8.600 .835 6.951 10.249
5 7.250 .835 5.601 8.899
6 9.000 .835 7.351 10.649
7 8.800 .835 7.151 10.449
8 5.000 .835 3.351 6.649
A-Pr 1 7.725 .590 6.559 8.891
2 4.925 .590 3.759 6.091
3 6.425 .590 5.259 7.591
4 7.175 .590 6.009 8.341
5 6.925 .590 5.759 8.091
6 7.250 .590 6.084 8.416
7 6.750 .590 5.584 7.916
8 3.775 .590 2.609 4.941
B-Pr 1 7.700 .835 6.051 9.349
2 6.200 .835 4.551 7.849
3 6.950 .835 5.301 8.599
4 8.200 .835 6.551 9.849
5 8.550 .835 6.901 10.199
6 9.550 .835 7.901 11.199
7 10.800 .835 9.151 12.449
8 5.100 .835 3.451 6.749
C-CH 1 9.100 .835 7.451 10.749
2 8.100 .835 6.451 9.749
3 10.800 .835 9.151 12.449
4 10.700 .835 9.051 12.349
5 9.950 .835 8.301 11.599
6 10.800 .835 9.151 12.449
7 10.200 .835 8.551 11.849
8 7.600 .835 5.951 9.249
D-CH 1 4.800 .835 3.151 6.449
2 6.250 .835 4.601 7.899
3 4.750 .835 3.101 6.399
4 5.050 .835 3.401 6.699
5 6.600 .835 4.951 8.249
6 6.250 .835 4.601 7.899
7 5.350 .835 3.701 6.999
8 3.650 .835 2.001 5.299
P 1 9.150 .835 7.501 10.799
2 8.000 .835 6.351 9.649
3 10.250 .835 8.601 11.899
4 11.500 .835 9.851 13.149
5 10.600 .835 8.951 12.249
6 10.050 .835 8.401 11.699
7 8.250 .835 6.601 9.899
8 6.050 .835 4.401 7.699
P+Ar 1 9.600 .835 7.951 11.249
2 7.200 .835 5.551 8.849
3 9.350 .835 7.701 10.999
4 11.500 .835 9.851 13.149
5 10.550 .835 8.901 12.199
6 11.200 .835 9.551 12.849
7 10.200 .835 8.551 11.849
8 6.550 .835 4.901 8.199

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MMeltdown

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' 3.1688(*) .41754 .000 2.3444 3.9931
33%' 1.4250(*) .41754 .001 .6007 2.2493
A-Pr 2.7625(*) .36160 .000 2.0486 3.4764
B-Pr 1.2500(*) .41754 .003 .4257 2.0743
C-CH -.5250 .41754 .210 -1.3493 .2993
D-CH 3.7938(*) .41754 .000 2.9694 4.6181
P -.1000 .41754 .811 -.9243 .7243
P+Ar -.3875 .41754 .355 -1.2118 .4368
24%' 16%' -3.1688(*) .41754 .000 -3.9931 -2.3444
33%' -1.7438(*) .41754 .000 -2.5681 -.9194
A-Pr -.4063 .36160 .263 -1.1201 .3076
B-Pr -1.9188(*) .41754 .000 -2.7431 -1.0944
C-CH -3.6938(*) .41754 .000 -4.5181 -2.8694
D-CH .6250 .41754 .136 -.1993 1.4493
P -3.2688(*) .41754 .000 -4.0931 -2.4444
P+Ar -3.5563(*) .41754 .000 -4.3806 -2.7319
33%' 16%' -1.4250(*) .41754 .001 -2.2493 -.6007
24%' 1.7438(*) .41754 .000 .9194 2.5681
A-Pr 1.3375(*) .36160 .000 .6236 2.0514
B-Pr -.1750 .41754 .676 -.9993 .6493
C-CH -1.9500(*) .41754 .000 -2.7743 -1.1257
D-CH 2.3688(*) .41754 .000 1.5444 3.1931
P -1.5250(*) .41754 .000 -2.3493 -.7007
P+Ar -1.8125(*) .41754 .000 -2.6368 -.9882
A-Pr 16%' -2.7625(*) .36160 .000 -3.4764 -2.0486
24%' .4063 .36160 .263 -.3076 1.1201
33%' -1.3375(*) .36160 .000 -2.0514 -.6236
B-Pr -1.5125(*) .36160 .000 -2.2264 -.7986
C-CH -3.2875(*) .36160 .000 -4.0014 -2.5736
D-CH 1.0313(*) .36160 .005 .3174 1.7451
P -2.8625(*) .36160 .000 -3.5764 -2.1486
P+Ar -3.1500(*) .36160 .000 -3.8639 -2.4361
B-Pr 16%' -1.2500(*) .41754 .003 -2.0743 -.4257
24%' 1.9188(*) .41754 .000 1.0944 2.7431
33%' .1750 .41754 .676 -.6493 .9993
A-Pr 1.5125(*) .36160 .000 .7986 2.2264
C-CH -1.7750(*) .41754 .000 -2.5993 -.9507
D-CH 2.5438(*) .41754 .000 1.7194 3.3681
P -1.3500(*) .41754 .001 -2.1743 -.5257
P+Ar -1.6375(*) .41754 .000 -2.4618 -.8132
C-CH 16%' .5250 .41754 .210 -.2993 1.3493
24%' 3.6938(*) .41754 .000 2.8694 4.5181
33%' 1.9500(*) .41754 .000 1.1257 2.7743
A-Pr 3.2875(*) .36160 .000 2.5736 4.0014
B-Pr 1.7750(*) .41754 .000 .9507 2.5993
D-CH 4.3188(*) .41754 .000 3.4944 5.1431
P .4250 .41754 .310 -.3993 1.2493
P+Ar .1375 .41754 .742 -.6868 .9618
D-CH 16%' -3.7938(*) .41754 .000 -4.6181 -2.9694
24%' -.6250 .41754 .136 -1.4493 .1993
33%' -2.3688(*) .41754 .000 -3.1931 -1.5444
A-Pr -1.0313(*) .36160 .005 -1.7451 -.3174
B-Pr -2.5438(*) .41754 .000 -3.3681 -1.7194
C-CH -4.3188(*) .41754 .000 -5.1431 -3.4944
P -3.8938(*) .41754 .000 -4.7181 -3.0694
P+Ar -4.1813(*) .41754 .000 -5.0056 -3.3569
P 16%' .1000 .41754 .811 -.7243 .9243
24%' 3.2688(*) .41754 .000 2.4444 4.0931
33%' 1.5250(*) .41754 .000 .7007 2.3493
A-Pr 2.8625(*) .36160 .000 2.1486 3.5764
B-Pr 1.3500(*) .41754 .001 .5257 2.1743
C-CH -.4250 .41754 .310 -1.2493 .3993
D-CH 3.8938(*) .41754 .000 3.0694 4.7181
P+Ar -.2875 .41754 .492 -1.1118 .5368
P+Ar 16%' .3875 .41754 .355 -.4368 1.2118
24%' 3.5563(*) .41754 .000 2.7319 4.3806
33%' 1.8125(*) .41754 .000 .9882 2.6368
A-Pr 3.1500(*) .36160 .000 2.4361 3.8639
B-Pr 1.6375(*) .41754 .000 .8132 2.4618
C-CH -.1375 .41754 .742 -.9618 .6868
D-CH 4.1813(*) .41754 .000 3.3569 5.0056
P .2875 .41754 .492 -.5368 1.1118
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MMeltdown

Productname N Subset
1 2 3
Tukey B(a,b,c) D-CH 24 5.3375

24%' 24 5.9625

A-Pr 48 6.3688

33%' 24
7.7063
B-Pr 24
7.8813
16%' 24

9.1313
P 24

9.2313
P+Ar 24

9.5188
C-CH 24

9.6563
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 2.092.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:09
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MResistance BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.38

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MResistance
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 9195.790 1 9195.790 1732.985 .000
Error 37.144 7 5.306(a)

Productname Hypothesis 640.467 8 80.058 21.467 .000
Error 208.847 56 3.729(b)

Panellist Hypothesis 37.144 7 5.306 1.447 .204
Error 214.376 58.449 3.668(c)

Productname * Panellist Hypothesis 208.847 56 3.729 1.791 .002
Error 349.815 168 2.082(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MResistance
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 5.106 .295 4.525 5.688
24%' 8.194 .295 7.612 8.775
33%' 6.456 .295 5.875 7.038
A-Pr 7.894 .208 7.483 8.305
B-Pr 6.381 .295 5.800 6.963
C-CH 4.313 .295 3.731 4.894
D-CH 9.181 .295 8.600 9.763
P 4.888 .295 4.306 5.469
P+Ar 4.656 .295 4.075 5.238

2. Panellist
Dependent Variable: MResistance
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 6.994 .270 6.462 7.527
2 5.989 .270 5.456 6.522
3 6.856 .270 6.323 7.388
4 5.797 .270 5.264 6.330
5 6.603 .270 6.070 7.136
6 6.036 .270 5.503 6.569
7 6.233 .270 5.701 6.766
8 6.219 .270 5.687 6.752

3. Productname * Panellist
Dependent Variable: MResistance
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 7.150 .833 5.505 8.795
2 6.650 .833 5.005 8.295
3 6.950 .833 5.305 8.595
4 2.950 .833 1.305 4.595
5 4.550 .833 2.905 6.195
6 4.200 .833 2.555 5.845
7 3.350 .833 1.705 4.995
8 5.050 .833 3.405 6.695
24%' 1 9.000 .833 7.355 10.645
2 7.200 .833 5.555 8.845
3 9.350 .833 7.705 10.995
4 7.400 .833 5.755 9.045
5 8.700 .833 7.055 10.345
6 7.800 .833 6.155 9.445
7 7.700 .833 6.055 9.345
8 8.400 .833 6.755 10.045
33%' 1 6.450 .833 4.805 8.095
2 4.450 .833 2.805 6.095
3 6.250 .833 4.605 7.895
4 6.350 .833 4.705 7.995
5 7.450 .833 5.805 9.095
6 6.100 .833 4.455 7.745
7 7.700 .833 6.055 9.345
8 6.900 .833 5.255 8.545
A-Pr 1 6.850 .589 5.687 8.013
2 6.950 .589 5.787 8.113
3 7.600 .589 6.437 8.763
4 8.275 .589 7.112 9.438
5 8.725 .589 7.562 9.888
6 8.625 .589 7.462 9.788
7 8.450 .589 7.287 9.613
8 7.675 .589 6.512 8.838
B-Pr 1 7.650 .833 6.005 9.295
2 7.150 .833 5.505 8.795
3 7.850 .833 6.205 9.495
4 6.500 .833 4.855 8.145
5 7.000 .833 5.355 8.645
6 6.200 .833 4.555 7.845
7 4.050 .833 2.405 5.695
8 4.650 .833 3.005 6.295
C-CH 1 5.950 .833 4.305 7.595
2 4.100 .833 2.455 5.745
3 4.500 .833 2.855 6.145
4 3.650 .833 2.005 5.295
5 5.200 .833 3.555 6.845
6 4.250 .833 2.605 5.895
7 4.250 .833 2.605 5.895
8 2.600 .833 .955 4.245
D-CH 1 8.800 .833 7.155 10.445
2 7.100 .833 5.455 8.745
3 9.700 .833 8.055 11.345
4 10.250 .833 8.605 11.895
5 7.950 .833 6.305 9.595
6 9.100 .833 7.455 10.745
7 10.950 .833 9.305 12.595
8 9.600 .833 7.955 11.245
P 1 5.850 .833 4.205 7.495
2 4.650 .833 3.005 6.295
3 4.350 .833 2.705 5.995
4 3.150 .833 1.505 4.795
5 5.250 .833 3.605 6.895
6 4.150 .833 2.505 5.795
7 5.650 .833 4.005 7.295
8 6.050 .833 4.405 7.695
P+Ar 1 5.250 .833 3.605 6.895
2 5.650 .833 4.005 7.295
3 5.150 .833 3.505 6.795
4 3.650 .833 2.005 5.295
5 4.600 .833 2.955 6.245
6 3.900 .833 2.255 5.545
7 4.000 .833 2.355 5.645
8 5.050 .833 3.405 6.695

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MResistance

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -3.0875(*) .41656 .000 -3.9099 -2.2651
33%' -1.3500(*) .41656 .001 -2.1724 -.5276
A-Pr -2.7875(*) .36075 .000 -3.4997 -2.0753
B-Pr -1.2750(*) .41656 .003 -2.0974 -.4526
C-CH .7938 .41656 .058 -.0286 1.6161
D-CH -4.0750(*) .41656 .000 -4.8974 -3.2526
P .2188 .41656 .600 -.6036 1.0411
P+Ar .4500 .41656 .282 -.3724 1.2724
24%' 16%' 3.0875(*) .41656 .000 2.2651 3.9099
33%' 1.7375(*) .41656 .000 .9151 2.5599
A-Pr .3000 .36075 .407 -.4122 1.0122
B-Pr 1.8125(*) .41656 .000 .9901 2.6349
C-CH 3.8813(*) .41656 .000 3.0589 4.7036
D-CH -.9875(*) .41656 .019 -1.8099 -.1651
P 3.3063(*) .41656 .000 2.4839 4.1286
P+Ar 3.5375(*) .41656 .000 2.7151 4.3599
33%' 16%' 1.3500(*) .41656 .001 .5276 2.1724
24%' -1.7375(*) .41656 .000 -2.5599 -.9151
A-Pr -1.4375(*) .36075 .000 -2.1497 -.7253
B-Pr .0750 .41656 .857 -.7474 .8974
C-CH 2.1438(*) .41656 .000 1.3214 2.9661
D-CH -2.7250(*) .41656 .000 -3.5474 -1.9026
P 1.5688(*) .41656 .000 .7464 2.3911
P+Ar 1.8000(*) .41656 .000 .9776 2.6224
A-Pr 16%' 2.7875(*) .36075 .000 2.0753 3.4997
24%' -.3000 .36075 .407 -1.0122 .4122
33%' 1.4375(*) .36075 .000 .7253 2.1497
B-Pr 1.5125(*) .36075 .000 .8003 2.2247
C-CH 3.5813(*) .36075 .000 2.8691 4.2934
D-CH -1.2875(*) .36075 .000 -1.9997 -.5753
P 3.0063(*) .36075 .000 2.2941 3.7184
P+Ar 3.2375(*) .36075 .000 2.5253 3.9497
B-Pr 16%' 1.2750(*) .41656 .003 .4526 2.0974
24%' -1.8125(*) .41656 .000 -2.6349 -.9901
33%' -.0750 .41656 .857 -.8974 .7474
A-Pr -1.5125(*) .36075 .000 -2.2247 -.8003
C-CH 2.0688(*) .41656 .000 1.2464 2.8911
D-CH -2.8000(*) .41656 .000 -3.6224 -1.9776
P 1.4938(*) .41656 .000 .6714 2.3161
P+Ar 1.7250(*) .41656 .000 .9026 2.5474
C-CH 16%' -.7938 .41656 .058 -1.6161 .0286
24%' -3.8813(*) .41656 .000 -4.7036 -3.0589
33%' -2.1438(*) .41656 .000 -2.9661 -1.3214
A-Pr -3.5813(*) .36075 .000 -4.2934 -2.8691
B-Pr -2.0688(*) .41656 .000 -2.8911 -1.2464
D-CH -4.8688(*) .41656 .000 -5.6911 -4.0464
P -.5750 .41656 .169 -1.3974 .2474
P+Ar -.3438 .41656 .410 -1.1661 .4786
D-CH 16%' 4.0750(*) .41656 .000 3.2526 4.8974
24%' .9875(*) .41656 .019 .1651 1.8099
33%' 2.7250(*) .41656 .000 1.9026 3.5474
A-Pr 1.2875(*) .36075 .000 .5753 1.9997
B-Pr 2.8000(*) .41656 .000 1.9776 3.6224
C-CH 4.8688(*) .41656 .000 4.0464 5.6911
P 4.2938(*) .41656 .000 3.4714 5.1161
P+Ar 4.5250(*) .41656 .000 3.7026 5.3474
P 16%' -.2188 .41656 .600 -1.0411 .6036
24%' -3.3063(*) .41656 .000 -4.1286 -2.4839
33%' -1.5688(*) .41656 .000 -2.3911 -.7464
A-Pr -3.0063(*) .36075 .000 -3.7184 -2.2941
B-Pr -1.4938(*) .41656 .000 -2.3161 -.6714
C-CH .5750 .41656 .169 -.2474 1.3974
D-CH -4.2938(*) .41656 .000 -5.1161 -3.4714
P+Ar .2313 .41656 .580 -.5911 1.0536
P+Ar 16%' -.4500 .41656 .282 -1.2724 .3724
24%' -3.5375(*) .41656 .000 -4.3599 -2.7151
33%' -1.8000(*) .41656 .000 -2.6224 -.9776
A-Pr -3.2375(*) .36075 .000 -3.9497 -2.5253
B-Pr -1.7250(*) .41656 .000 -2.5474 -.9026
C-CH .3438 .41656 .410 -.4786 1.1661
D-CH -4.5250(*) .41656 .000 -5.3474 -3.7026
P -.2313 .41656 .580 -1.0536 .5911
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MResistance

Productname N Subset
1 2 3 4
Tukey B(a,b,c) C-CH 24 4.3125


P+Ar 24 4.6563


P 24 4.8875


16%' 24 5.1063


B-Pr 24
6.3813

33%' 24
6.4563

A-Pr 48

7.8938
24%' 24

8.1938 8.1938
D-CH 24


9.1813
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 2.082.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:09
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MCreaminess BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.21

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MCreaminess
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 14248.451 1 14248.451 496.484 .000
Error 200.891 7 28.699(a)

Productname Hypothesis 121.517 8 15.190 3.101 .006
Error 274.295 56 4.898(b)

Panellist Hypothesis 200.891 7 28.699 6.011 .000
Error 274.218 57.431 4.775(c)

Productname * Panellist Hypothesis 274.295 56 4.898 3.057 .000
Error 269.205 168 1.602(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MCreaminess
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 7.863 .258 7.352 8.373
24%' 8.256 .258 7.746 8.766
33%' 8.300 .258 7.790 8.810
A-Pr 6.856 .183 6.496 7.217
B-Pr 7.781 .258 7.271 8.291
C-CH 8.463 .258 7.952 8.973
D-CH 9.094 .258 8.584 9.604
P 7.119 .258 6.609 7.629
P+Ar 7.306 .258 6.796 7.816

2. Panellist
Dependent Variable: MCreaminess
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 8.494 .237 8.027 8.962
2 8.722 .237 8.255 9.190
3 7.872 .237 7.405 8.340
4 5.986 .237 5.519 6.454
5 7.908 .237 7.441 8.376
6 7.531 .237 7.063 7.998
7 9.278 .237 8.810 9.745
8 7.353 .237 6.885 7.820

3. Productname * Panellist
Dependent Variable: MCreaminess
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 8.000 .731 6.557 9.443
2 8.750 .731 7.307 10.193
3 8.100 .731 6.657 9.543
4 4.800 .731 3.357 6.243
5 7.150 .731 5.707 8.593
6 8.350 .731 6.907 9.793
7 10.650 .731 9.207 12.093
8 7.100 .731 5.657 8.543
24%' 1 8.150 .731 6.707 9.593
2 8.850 .731 7.407 10.293
3 8.950 .731 7.507 10.393
4 7.000 .731 5.557 8.443
5 8.350 .731 6.907 9.793
6 8.200 .731 6.757 9.643
7 8.900 .731 7.457 10.343
8 7.650 .731 6.207 9.093
33%' 1 9.950 .731 8.507 11.393
2 9.300 .731 7.857 10.743
3 7.850 .731 6.407 9.293
4 6.550 .731 5.107 7.993
5 8.650 .731 7.207 10.093
6 5.850 .731 4.407 7.293
7 10.500 .731 9.057 11.943
8 7.750 .731 6.307 9.193
A-Pr 1 4.800 .517 3.780 5.820
2 8.750 .517 7.730 9.770
3 6.650 .517 5.630 7.670
4 7.675 .517 6.655 8.695
5 7.325 .517 6.305 8.345
6 6.725 .517 5.705 7.745
7 6.950 .517 5.930 7.970
8 5.975 .517 4.955 6.995
B-Pr 1 6.700 .731 5.257 8.143
2 9.200 .731 7.757 10.643
3 8.250 .731 6.807 9.693
4 6.950 .731 5.507 8.393
5 7.700 .731 6.257 9.143
6 9.500 .731 8.057 10.943
7 6.900 .731 5.457 8.343
8 7.050 .731 5.607 8.493
C-CH 1 10.400 .731 8.957 11.843
2 9.100 .731 7.657 10.543
3 8.100 .731 6.657 9.543
4 4.650 .731 3.207 6.093
5 9.000 .731 7.557 10.443
6 8.600 .731 7.157 10.043
7 10.450 .731 9.007 11.893
8 7.400 .731 5.957 8.843
D-CH 1 9.200 .731 7.757 10.643
2 10.000 .731 8.557 11.443
3 8.800 .731 7.357 10.243
4 8.100 .731 6.657 9.543
5 8.850 .731 7.407 10.293
6 9.650 .731 8.207 11.093
7 10.150 .731 8.707 11.593
8 8.000 .731 6.557 9.443
P 1 10.150 .731 8.707 11.593
2 7.400 .731 5.957 8.843
3 6.450 .731 5.007 7.893
4 3.350 .731 1.907 4.793
5 6.900 .731 5.457 8.343
6 5.300 .731 3.857 6.743
7 9.350 .731 7.907 10.793
8 8.050 .731 6.607 9.493
P+Ar 1 9.100 .731 7.657 10.543
2 7.150 .731 5.707 8.593
3 7.700 .731 6.257 9.143
4 4.800 .731 3.357 6.243
5 7.250 .731 5.807 8.693
6 5.600 .731 4.157 7.043
7 9.650 .731 8.207 11.093
8 7.200 .731 5.757 8.643

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MCreaminess

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.3938 .36542 .283 -1.1152 .3277
33%' -.4375 .36542 .233 -1.1589 .2839
A-Pr 1.0063(*) .31647 .002 .3815 1.6310
B-Pr .0813 .36542 .824 -.6402 .8027
C-CH -.6000 .36542 .102 -1.3214 .1214
D-CH -1.2313(*) .36542 .001 -1.9527 -.5098
P .7438(*) .36542 .043 .0223 1.4652
P+Ar .5563 .36542 .130 -.1652 1.2777
24%' 16%' .3938 .36542 .283 -.3277 1.1152
33%' -.0438 .36542 .905 -.7652 .6777
A-Pr 1.4000(*) .31647 .000 .7752 2.0248
B-Pr .4750 .36542 .195 -.2464 1.1964
C-CH -.2063 .36542 .573 -.9277 .5152
D-CH -.8375(*) .36542 .023 -1.5589 -.1161
P 1.1375(*) .36542 .002 .4161 1.8589
P+Ar .9500(*) .36542 .010 .2286 1.6714
33%' 16%' .4375 .36542 .233 -.2839 1.1589
24%' .0438 .36542 .905 -.6777 .7652
A-Pr 1.4438(*) .31647 .000 .8190 2.0685
B-Pr .5188 .36542 .158 -.2027 1.2402
C-CH -.1625 .36542 .657 -.8839 .5589
D-CH -.7938(*) .36542 .031 -1.5152 -.0723
P 1.1813(*) .36542 .001 .4598 1.9027
P+Ar .9938(*) .36542 .007 .2723 1.7152
A-Pr 16%' -1.0063(*) .31647 .002 -1.6310 -.3815
24%' -1.4000(*) .31647 .000 -2.0248 -.7752
33%' -1.4438(*) .31647 .000 -2.0685 -.8190
B-Pr -.9250(*) .31647 .004 -1.5498 -.3002
C-CH -1.6063(*) .31647 .000 -2.2310 -.9815
D-CH -2.2375(*) .31647 .000 -2.8623 -1.6127
P -.2625 .31647 .408 -.8873 .3623
P+Ar -.4500 .31647 .157 -1.0748 .1748
B-Pr 16%' -.0813 .36542 .824 -.8027 .6402
24%' -.4750 .36542 .195 -1.1964 .2464
33%' -.5188 .36542 .158 -1.2402 .2027
A-Pr .9250(*) .31647 .004 .3002 1.5498
C-CH -.6813 .36542 .064 -1.4027 .0402
D-CH -1.3125(*) .36542 .000 -2.0339 -.5911
P .6625 .36542 .072 -.0589 1.3839
P+Ar .4750 .36542 .195 -.2464 1.1964
C-CH 16%' .6000 .36542 .102 -.1214 1.3214
24%' .2063 .36542 .573 -.5152 .9277
33%' .1625 .36542 .657 -.5589 .8839
A-Pr 1.6063(*) .31647 .000 .9815 2.2310
B-Pr .6813 .36542 .064 -.0402 1.4027
D-CH -.6313 .36542 .086 -1.3527 .0902
P 1.3438(*) .36542 .000 .6223 2.0652
P+Ar 1.1563(*) .36542 .002 .4348 1.8777
D-CH 16%' 1.2313(*) .36542 .001 .5098 1.9527
24%' .8375(*) .36542 .023 .1161 1.5589
33%' .7938(*) .36542 .031 .0723 1.5152
A-Pr 2.2375(*) .31647 .000 1.6127 2.8623
B-Pr 1.3125(*) .36542 .000 .5911 2.0339
C-CH .6313 .36542 .086 -.0902 1.3527
P 1.9750(*) .36542 .000 1.2536 2.6964
P+Ar 1.7875(*) .36542 .000 1.0661 2.5089
P 16%' -.7438(*) .36542 .043 -1.4652 -.0223
24%' -1.1375(*) .36542 .002 -1.8589 -.4161
33%' -1.1813(*) .36542 .001 -1.9027 -.4598
A-Pr .2625 .31647 .408 -.3623 .8873
B-Pr -.6625 .36542 .072 -1.3839 .0589
C-CH -1.3438(*) .36542 .000 -2.0652 -.6223
D-CH -1.9750(*) .36542 .000 -2.6964 -1.2536
P+Ar -.1875 .36542 .609 -.9089 .5339
P+Ar 16%' -.5563 .36542 .130 -1.2777 .1652
24%' -.9500(*) .36542 .010 -1.6714 -.2286
33%' -.9938(*) .36542 .007 -1.7152 -.2723
A-Pr .4500 .31647 .157 -.1748 1.0748
B-Pr -.4750 .36542 .195 -1.1964 .2464
C-CH -1.1563(*) .36542 .002 -1.8777 -.4348
D-CH -1.7875(*) .36542 .000 -2.5089 -1.0661
P .1875 .36542 .609 -.5339 .9089
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MCreaminess

Productname N Subset
1 2 3 4
Tukey B(a,b,c) A-Pr 48 6.8563


P 24 7.1188


P+Ar 24 7.3063 7.3063

B-Pr 24 7.7813 7.7813 7.7813
16%' 24 7.8625 7.8625 7.8625
24%' 24
8.2563 8.2563 8.2563
33%' 24
8.3000 8.3000 8.3000
C-CH 24

8.4625 8.4625
D-CH 24


9.0938
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.602.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:09
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MGrainy BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.25

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MGrainy
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 2153.775 1 2153.775 55.918 .000
Error 269.616 7 38.517(a)

Productname Hypothesis 82.860 8 10.358 4.198 .001
Error 138.169 56 2.467(b)

Panellist Hypothesis 269.616 7 38.517 15.944 .000
Error 139.956 57.935 2.416(c)

Productname * Panellist Hypothesis 138.169 56 2.467 2.264 .000
Error 183.120 168 1.090(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MGrainy
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 3.663 .213 3.242 4.083
24%' 3.625 .213 3.204 4.046
33%' 3.688 .213 3.267 4.108
A-Pr 2.900 .151 2.603 3.197
B-Pr 2.250 .213 1.829 2.671
C-CH 2.319 .213 1.898 2.739
D-CH 2.200 .213 1.779 2.621
P 3.575 .213 3.154 3.996
P+Ar 3.400 .213 2.979 3.821

2. Panellist
Dependent Variable: MGrainy
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 2.125 .195 1.740 2.510
2 5.003 .195 4.617 5.388
3 2.492 .195 2.106 2.877
4 3.761 .195 3.376 4.147
5 3.117 .195 2.731 3.502
6 3.583 .195 3.198 3.969
7 1.156 .195 .770 1.541
8 3.314 .195 2.928 3.699

3. Productname * Panellist
Dependent Variable: MGrainy
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 1.300 .603 .110 2.490
2 5.550 .603 4.360 6.740
3 3.550 .603 2.360 4.740
4 5.500 .603 4.310 6.690
5 3.150 .603 1.960 4.340
6 5.450 .603 4.260 6.640
7 1.500 .603 .310 2.690
8 3.300 .603 2.110 4.490
24%' 1 1.700 .603 .510 2.890
2 6.150 .603 4.960 7.340
3 2.050 .603 .860 3.240
4 6.350 .603 5.160 7.540
5 2.800 .603 1.610 3.990
6 5.250 .603 4.060 6.440
7 1.800 .603 .610 2.990
8 2.900 .603 1.710 4.090
33%' 1 3.750 .603 2.560 4.940
2 6.150 .603 4.960 7.340
3 3.500 .603 2.310 4.690
4 3.400 .603 2.210 4.590
5 3.700 .603 2.510 4.890
6 4.050 .603 2.860 5.240
7 .900 .603 -.290 2.090
8 4.050 .603 2.860 5.240
A-Pr 1 3.575 .426 2.734 4.416
2 3.475 .426 2.634 4.316
3 2.475 .426 1.634 3.316
4 3.150 .426 2.309 3.991
5 3.150 .426 2.309 3.991
6 2.900 .426 2.059 3.741
7 1.000 .426 .159 1.841
8 3.475 .426 2.634 4.316
B-Pr 1 1.200 .603 .010 2.390
2 3.100 .603 1.910 4.290
3 1.950 .603 .760 3.140
4 2.650 .603 1.460 3.840
5 3.000 .603 1.810 4.190
6 2.150 .603 .960 3.340
7 .900 .603 -.290 2.090
8 3.050 .603 1.860 4.240
C-CH 1 1.750 .603 .560 2.940
2 3.400 .603 2.210 4.590
3 1.950 .603 .760 3.140
4 2.350 .603 1.160 3.540
5 3.350 .603 2.160 4.540
6 1.800 .603 .610 2.990
7 1.350 .603 .160 2.540
8 2.600 .603 1.410 3.790
D-CH 1 2.300 .603 1.110 3.490
2 3.400 .603 2.210 4.590
3 2.050 .603 .860 3.240
4 2.100 .603 .910 3.290
5 2.450 .603 1.260 3.640
6 2.150 .603 .960 3.340
7 .800 .603 -.390 1.990
8 2.350 .603 1.160 3.540
P 1 1.950 .603 .760 3.140
2 7.200 .603 6.010 8.390
3 2.300 .603 1.110 3.490
4 4.250 .603 3.060 5.440
5 3.500 .603 2.310 4.690
6 4.050 .603 2.860 5.240
7 .950 .603 -.240 2.140
8 4.400 .603 3.210 5.590
P+Ar 1 1.600 .603 .410 2.790
2 6.600 .603 5.410 7.790
3 2.600 .603 1.410 3.790
4 4.100 .603 2.910 5.290
5 2.950 .603 1.760 4.140
6 4.450 .603 3.260 5.640
7 1.200 .603 .010 2.390
8 3.700 .603 2.510 4.890

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MGrainy

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' .0375 .30139 .901 -.5575 .6325
33%' -.0250 .30139 .934 -.6200 .5700
A-Pr .7625(*) .26101 .004 .2472 1.2778
B-Pr 1.4125(*) .30139 .000 .8175 2.0075
C-CH 1.3438(*) .30139 .000 .7488 1.9387
D-CH 1.4625(*) .30139 .000 .8675 2.0575
P .0875 .30139 .772 -.5075 .6825
P+Ar .2625 .30139 .385 -.3325 .8575
24%' 16%' -.0375 .30139 .901 -.6325 .5575
33%' -.0625 .30139 .836 -.6575 .5325
A-Pr .7250(*) .26101 .006 .2097 1.2403
B-Pr 1.3750(*) .30139 .000 .7800 1.9700
C-CH 1.3063(*) .30139 .000 .7113 1.9012
D-CH 1.4250(*) .30139 .000 .8300 2.0200
P .0500 .30139 .868 -.5450 .6450
P+Ar .2250 .30139 .456 -.3700 .8200
33%' 16%' .0250 .30139 .934 -.5700 .6200
24%' .0625 .30139 .836 -.5325 .6575
A-Pr .7875(*) .26101 .003 .2722 1.3028
B-Pr 1.4375(*) .30139 .000 .8425 2.0325
C-CH 1.3688(*) .30139 .000 .7738 1.9637
D-CH 1.4875(*) .30139 .000 .8925 2.0825
P .1125 .30139 .709 -.4825 .7075
P+Ar .2875 .30139 .341 -.3075 .8825
A-Pr 16%' -.7625(*) .26101 .004 -1.2778 -.2472
24%' -.7250(*) .26101 .006 -1.2403 -.2097
33%' -.7875(*) .26101 .003 -1.3028 -.2722
B-Pr .6500(*) .26101 .014 .1347 1.1653
C-CH .5813(*) .26101 .027 .0660 1.0965
D-CH .7000(*) .26101 .008 .1847 1.2153
P -.6750(*) .26101 .011 -1.1903 -.1597
P+Ar -.5000 .26101 .057 -1.0153 .0153
B-Pr 16%' -1.4125(*) .30139 .000 -2.0075 -.8175
24%' -1.3750(*) .30139 .000 -1.9700 -.7800
33%' -1.4375(*) .30139 .000 -2.0325 -.8425
A-Pr -.6500(*) .26101 .014 -1.1653 -.1347
C-CH -.0688 .30139 .820 -.6637 .5262
D-CH .0500 .30139 .868 -.5450 .6450
P -1.3250(*) .30139 .000 -1.9200 -.7300
P+Ar -1.1500(*) .30139 .000 -1.7450 -.5550
C-CH 16%' -1.3438(*) .30139 .000 -1.9387 -.7488
24%' -1.3063(*) .30139 .000 -1.9012 -.7113
33%' -1.3688(*) .30139 .000 -1.9637 -.7738
A-Pr -.5813(*) .26101 .027 -1.0965 -.0660
B-Pr .0688 .30139 .820 -.5262 .6637
D-CH .1188 .30139 .694 -.4762 .7137
P -1.2563(*) .30139 .000 -1.8512 -.6613
P+Ar -1.0813(*) .30139 .000 -1.6762 -.4863
D-CH 16%' -1.4625(*) .30139 .000 -2.0575 -.8675
24%' -1.4250(*) .30139 .000 -2.0200 -.8300
33%' -1.4875(*) .30139 .000 -2.0825 -.8925
A-Pr -.7000(*) .26101 .008 -1.2153 -.1847
B-Pr -.0500 .30139 .868 -.6450 .5450
C-CH -.1188 .30139 .694 -.7137 .4762
P -1.3750(*) .30139 .000 -1.9700 -.7800
P+Ar -1.2000(*) .30139 .000 -1.7950 -.6050
P 16%' -.0875 .30139 .772 -.6825 .5075
24%' -.0500 .30139 .868 -.6450 .5450
33%' -.1125 .30139 .709 -.7075 .4825
A-Pr .6750(*) .26101 .011 .1597 1.1903
B-Pr 1.3250(*) .30139 .000 .7300 1.9200
C-CH 1.2563(*) .30139 .000 .6613 1.8512
D-CH 1.3750(*) .30139 .000 .7800 1.9700
P+Ar .1750 .30139 .562 -.4200 .7700
P+Ar 16%' -.2625 .30139 .385 -.8575 .3325
24%' -.2250 .30139 .456 -.8200 .3700
33%' -.2875 .30139 .341 -.8825 .3075
A-Pr .5000 .26101 .057 -.0153 1.0153
B-Pr 1.1500(*) .30139 .000 .5550 1.7450
C-CH 1.0813(*) .30139 .000 .4863 1.6762
D-CH 1.2000(*) .30139 .000 .6050 1.7950
P -.1750 .30139 .562 -.7700 .4200
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MGrainy

Productname N Subset
1 2
Tukey B(a,b,c) D-CH 24 2.2000
B-Pr 24 2.2500
C-CH 24 2.3188
A-Pr 48 2.9000 2.9000
P+Ar 24
3.4000
P 24
3.5750
24%' 24
3.6250
16%' 24
3.6625
33%' 24
3.6875
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.090.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:10
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MChalky BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.27

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MChalky
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 4443.833 1 4443.833 85.906 .000
Error 362.102 7 51.729(a)

Productname Hypothesis 612.384 8 76.548 36.253 .000
Error 118.243 56 2.111(b)

Panellist Hypothesis 362.102 7 51.729 24.761 .000
Error 123.573 59.151 2.089(c)

Productname * Panellist Hypothesis 118.243 56 2.111 1.395 .055
Error 254.329 168 1.514(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MChalky
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 3.950 .251 3.454 4.446
24%' 4.163 .251 3.667 4.658
33%' 4.025 .251 3.529 4.521
A-Pr 7.753 .178 7.403 8.104
B-Pr 5.294 .251 4.798 5.790
C-CH 3.088 .251 2.592 3.583
D-CH 3.456 .251 2.960 3.952
P 3.863 .251 3.367 4.358
P+Ar 4.081 .251 3.585 4.577

2. Panellist
Dependent Variable: MChalky
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 3.692 .230 3.237 4.146
2 4.903 .230 4.448 5.357
3 3.581 .230 3.126 4.035
4 6.831 .230 6.376 7.285
5 5.950 .230 5.496 6.404
6 3.128 .230 2.673 3.582
7 3.572 .230 3.118 4.027
8 3.608 .230 3.154 4.063

3. Productname * Panellist
Dependent Variable: MChalky
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 3.250 .710 1.848 4.652
2 5.550 .710 4.148 6.952
3 2.700 .710 1.298 4.102
4 5.450 .710 4.048 6.852
5 5.450 .710 4.048 6.852
6 2.600 .710 1.198 4.002
7 2.950 .710 1.548 4.352
8 3.650 .710 2.248 5.052
24%' 1 4.350 .710 2.948 5.752
2 4.200 .710 2.798 5.602
3 3.150 .710 1.748 4.552
4 6.000 .710 4.598 7.402
5 6.250 .710 4.848 7.652
6 3.000 .710 1.598 4.402
7 2.800 .710 1.398 4.202
8 3.550 .710 2.148 4.952
33%' 1 2.450 .710 1.048 3.852
2 4.000 .710 2.598 5.402
3 3.900 .710 2.498 5.302
4 6.950 .710 5.548 8.352
5 5.000 .710 3.598 6.402
6 3.350 .710 1.948 4.752
7 3.400 .710 1.998 4.802
8 3.150 .710 1.748 4.552
A-Pr 1 7.775 .502 6.783 8.767
2 7.575 .502 6.583 8.567
3 6.875 .502 5.883 7.867
4 11.525 .502 10.533 12.517
5 8.900 .502 7.908 9.892
6 7.100 .502 6.108 8.092
7 6.950 .502 5.958 7.942
8 5.325 .502 4.333 6.317
B-Pr 1 5.100 .710 3.698 6.502
2 5.250 .710 3.848 6.652
3 3.500 .710 2.098 4.902
4 9.400 .710 7.998 10.802
5 6.450 .710 5.048 7.852
6 3.050 .710 1.648 4.452
7 5.800 .710 4.398 7.202
8 3.800 .710 2.398 5.202
C-CH 1 2.350 .710 .948 3.752
2 3.250 .710 1.848 4.652
3 2.450 .710 1.048 3.852
4 5.600 .710 4.198 7.002
5 4.200 .710 2.798 5.602
6 2.550 .710 1.148 3.952
7 1.850 .710 .448 3.252
8 2.450 .710 1.048 3.852
D-CH 1 2.650 .710 1.248 4.052
2 3.900 .710 2.498 5.302
3 3.300 .710 1.898 4.702
4 4.250 .710 2.848 5.652
5 4.800 .710 3.398 6.202
6 2.600 .710 1.198 4.002
7 1.950 .710 .548 3.352
8 4.200 .710 2.798 5.602
P 1 2.450 .710 1.048 3.852
2 4.650 .710 3.248 6.052
3 3.050 .710 1.648 4.452
4 6.700 .710 5.298 8.102
5 6.400 .710 4.998 7.802
6 1.900 .710 .498 3.302
7 2.650 .710 1.248 4.052
8 3.100 .710 1.698 4.502
P+Ar 1 2.850 .710 1.448 4.252
2 5.750 .710 4.348 7.152
3 3.300 .710 1.898 4.702
4 5.600 .710 4.198 7.002
5 6.100 .710 4.698 7.502
6 2.000 .710 .598 3.402
7 3.800 .710 2.398 5.202
8 3.250 .710 1.848 4.652

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MChalky

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.2125 .35518 .550 -.9137 .4887
33%' -.0750 .35518 .833 -.7762 .6262
A-Pr -3.8031(*) .30760 .000 -4.4104 -3.1959
B-Pr -1.3438(*) .35518 .000 -2.0449 -.6426
C-CH .8625(*) .35518 .016 .1613 1.5637
D-CH .4938 .35518 .166 -.2074 1.1949
P .0875 .35518 .806 -.6137 .7887
P+Ar -.1313 .35518 .712 -.8324 .5699
24%' 16%' .2125 .35518 .550 -.4887 .9137
33%' .1375 .35518 .699 -.5637 .8387
A-Pr -3.5906(*) .30760 .000 -4.1979 -2.9834
B-Pr -1.1313(*) .35518 .002 -1.8324 -.4301
C-CH 1.0750(*) .35518 .003 .3738 1.7762
D-CH .7063(*) .35518 .048 .0051 1.4074
P .3000 .35518 .400 -.4012 1.0012
P+Ar .0813 .35518 .819 -.6199 .7824
33%' 16%' .0750 .35518 .833 -.6262 .7762
24%' -.1375 .35518 .699 -.8387 .5637
A-Pr -3.7281(*) .30760 .000 -4.3354 -3.1209
B-Pr -1.2688(*) .35518 .000 -1.9699 -.5676
C-CH .9375(*) .35518 .009 .2363 1.6387
D-CH .5688 .35518 .111 -.1324 1.2699
P .1625 .35518 .648 -.5387 .8637
P+Ar -.0563 .35518 .874 -.7574 .6449
A-Pr 16%' 3.8031(*) .30760 .000 3.1959 4.4104
24%' 3.5906(*) .30760 .000 2.9834 4.1979
33%' 3.7281(*) .30760 .000 3.1209 4.3354
B-Pr 2.4594(*) .30760 .000 1.8521 3.0666
C-CH 4.6656(*) .30760 .000 4.0584 5.2729
D-CH 4.2969(*) .30760 .000 3.6896 4.9041
P 3.8906(*) .30760 .000 3.2834 4.4979
P+Ar 3.6719(*) .30760 .000 3.0646 4.2791
B-Pr 16%' 1.3438(*) .35518 .000 .6426 2.0449
24%' 1.1313(*) .35518 .002 .4301 1.8324
33%' 1.2688(*) .35518 .000 .5676 1.9699
A-Pr -2.4594(*) .30760 .000 -3.0666 -1.8521
C-CH 2.2063(*) .35518 .000 1.5051 2.9074
D-CH 1.8375(*) .35518 .000 1.1363 2.5387
P 1.4313(*) .35518 .000 .7301 2.1324
P+Ar 1.2125(*) .35518 .001 .5113 1.9137
C-CH 16%' -.8625(*) .35518 .016 -1.5637 -.1613
24%' -1.0750(*) .35518 .003 -1.7762 -.3738
33%' -.9375(*) .35518 .009 -1.6387 -.2363
A-Pr -4.6656(*) .30760 .000 -5.2729 -4.0584
B-Pr -2.2063(*) .35518 .000 -2.9074 -1.5051
D-CH -.3688 .35518 .301 -1.0699 .3324
P -.7750(*) .35518 .031 -1.4762 -.0738
P+Ar -.9938(*) .35518 .006 -1.6949 -.2926
D-CH 16%' -.4938 .35518 .166 -1.1949 .2074
24%' -.7063(*) .35518 .048 -1.4074 -.0051
33%' -.5688 .35518 .111 -1.2699 .1324
A-Pr -4.2969(*) .30760 .000 -4.9041 -3.6896
B-Pr -1.8375(*) .35518 .000 -2.5387 -1.1363
C-CH .3688 .35518 .301 -.3324 1.0699
P -.4063 .35518 .254 -1.1074 .2949
P+Ar -.6250 .35518 .080 -1.3262 .0762
P 16%' -.0875 .35518 .806 -.7887 .6137
24%' -.3000 .35518 .400 -1.0012 .4012
33%' -.1625 .35518 .648 -.8637 .5387
A-Pr -3.8906(*) .30760 .000 -4.4979 -3.2834
B-Pr -1.4313(*) .35518 .000 -2.1324 -.7301
C-CH .7750(*) .35518 .031 .0738 1.4762
D-CH .4063 .35518 .254 -.2949 1.1074
P+Ar -.2188 .35518 .539 -.9199 .4824
P+Ar 16%' .1313 .35518 .712 -.5699 .8324
24%' -.0813 .35518 .819 -.7824 .6199
33%' .0563 .35518 .874 -.6449 .7574
A-Pr -3.6719(*) .30760 .000 -4.2791 -3.0646
B-Pr -1.2125(*) .35518 .001 -1.9137 -.5113
C-CH .9938(*) .35518 .006 .2926 1.6949
D-CH .6250 .35518 .080 -.0762 1.3262
P .2188 .35518 .539 -.4824 .9199
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MChalky

Productname N Subset
1 2 3 4
Tukey B(a,b,c) C-CH 24 3.0875


D-CH 24 3.4563 3.4563

P 24 3.8625 3.8625

16%' 24 3.9500 3.9500

33%' 24 4.0250 4.0250

P+Ar 24 4.0813 4.0813

24%' 24
4.1625

B-Pr 24

5.2938
A-Pr 48


7.7531
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.514.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:10
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MCream BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.25

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MCream
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 13377.151 1 13377.151 497.477 .000
Error 188.230 7 26.890(a)

Productname Hypothesis 97.489 8 12.186 5.275 .000
Error 129.372 56 2.310(b)

Panellist Hypothesis 188.230 7 26.890 11.868 .000
Error 131.721 58.134 2.266(c)

Productname * Panellist Hypothesis 129.372 56 2.310 2.054 .000
Error 188.963 168 1.125(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MCream
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 7.881 .216 7.454 8.309
24%' 7.850 .216 7.423 8.277
33%' 8.419 .216 7.991 8.846
A-Pr 6.763 .153 6.460 7.065
B-Pr 6.375 .216 5.948 6.802
C-CH 7.763 .216 7.335 8.190
D-CH 7.969 .216 7.541 8.396
P 7.825 .216 7.398 8.252
P+Ar 7.988 .216 7.560 8.415

2. Panellist
Dependent Variable: MCream
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 6.672 .198 6.281 7.064
2 7.972 .198 7.581 8.364
3 8.878 .198 8.486 9.269
4 6.325 .198 5.933 6.717
5 8.111 .198 7.720 8.503
6 8.394 .198 8.003 8.786
7 8.247 .198 7.856 8.639
8 6.583 .198 6.192 6.975

3. Productname * Panellist
Dependent Variable: MCream
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 6.650 .612 5.441 7.859
2 8.800 .612 7.591 10.009
3 8.250 .612 7.041 9.459
4 6.250 .612 5.041 7.459
5 7.900 .612 6.691 9.109
6 9.250 .612 8.041 10.459
7 9.350 .612 8.141 10.559
8 6.600 .612 5.391 7.809
24%' 1 6.350 .612 5.141 7.559
2 9.000 .612 7.791 10.209
3 8.600 .612 7.391 9.809
4 8.200 .612 6.991 9.409
5 8.250 .612 7.041 9.459
6 7.800 .612 6.591 9.009
7 8.400 .612 7.191 9.609
8 6.200 .612 4.991 7.409
33%' 1 7.500 .612 6.291 8.709
2 7.500 .612 6.291 8.709
3 10.000 .612 8.791 11.209
4 6.950 .612 5.741 8.159
5 8.100 .612 6.891 9.309
6 10.300 .612 9.091 11.509
7 9.650 .612 8.441 10.859
8 7.350 .612 6.141 8.559
A-Pr 1 5.750 .433 4.895 6.605
2 7.250 .433 6.395 8.105
3 7.850 .433 6.995 8.705
4 3.225 .433 2.370 4.080
5 8.000 .433 7.145 8.855
6 8.850 .433 7.995 9.705
7 7.125 .433 6.270 7.980
8 6.050 .433 5.195 6.905
B-Pr 1 5.400 .612 4.191 6.609
2 4.850 .612 3.641 6.059
3 8.100 .612 6.891 9.309
4 5.150 .612 3.941 6.359
5 7.650 .612 6.441 8.859
6 7.550 .612 6.341 8.759
7 6.400 .612 5.191 7.609
8 5.900 .612 4.691 7.109
C-CH 1 7.300 .612 6.091 8.509
2 8.000 .612 6.791 9.209
3 9.100 .612 7.891 10.309
4 6.550 .612 5.341 7.759
5 8.450 .612 7.241 9.659
6 6.550 .612 5.341 7.759
7 8.600 .612 7.391 9.809
8 7.550 .612 6.341 8.759
D-CH 1 7.200 .612 5.991 8.409
2 8.700 .612 7.491 9.909
3 9.650 .612 8.441 10.859
4 6.950 .612 5.741 8.159
5 8.650 .612 7.441 9.859
6 7.050 .612 5.841 8.259
7 9.100 .612 7.891 10.309
8 6.450 .612 5.241 7.659
P 1 7.100 .612 5.891 8.309
2 8.950 .612 7.741 10.159
3 8.750 .612 7.541 9.959
4 6.700 .612 5.491 7.909
5 7.850 .612 6.641 9.059
6 9.250 .612 8.041 10.459
7 7.650 .612 6.441 8.859
8 6.350 .612 5.141 7.559
P+Ar 1 6.800 .612 5.591 8.009
2 8.700 .612 7.491 9.909
3 9.600 .612 8.391 10.809
4 6.950 .612 5.741 8.159
5 8.150 .612 6.941 9.359
6 8.950 .612 7.741 10.159
7 7.950 .612 6.741 9.159
8 6.800 .612 5.591 8.009

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MCream

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' .0313 .30616 .919 -.5732 .6357
33%' -.5375 .30616 .081 -1.1419 .0669
A-Pr 1.1188(*) .26514 .000 .5953 1.6422
B-Pr 1.5063(*) .30616 .000 .9018 2.1107
C-CH .1188 .30616 .699 -.4857 .7232
D-CH -.0875 .30616 .775 -.6919 .5169
P .0563 .30616 .854 -.5482 .6607
P+Ar -.1063 .30616 .729 -.7107 .4982
24%' 16%' -.0313 .30616 .919 -.6357 .5732
33%' -.5688 .30616 .065 -1.1732 .0357
A-Pr 1.0875(*) .26514 .000 .5641 1.6109
B-Pr 1.4750(*) .30616 .000 .8706 2.0794
C-CH .0875 .30616 .775 -.5169 .6919
D-CH -.1188 .30616 .699 -.7232 .4857
P .0250 .30616 .935 -.5794 .6294
P+Ar -.1375 .30616 .654 -.7419 .4669
33%' 16%' .5375 .30616 .081 -.0669 1.1419
24%' .5688 .30616 .065 -.0357 1.1732
A-Pr 1.6563(*) .26514 .000 1.1328 2.1797
B-Pr 2.0438(*) .30616 .000 1.4393 2.6482
C-CH .6563(*) .30616 .034 .0518 1.2607
D-CH .4500 .30616 .143 -.1544 1.0544
P .5938 .30616 .054 -.0107 1.1982
P+Ar .4313 .30616 .161 -.1732 1.0357
A-Pr 16%' -1.1188(*) .26514 .000 -1.6422 -.5953
24%' -1.0875(*) .26514 .000 -1.6109 -.5641
33%' -1.6563(*) .26514 .000 -2.1797 -1.1328
B-Pr .3875 .26514 .146 -.1359 .9109
C-CH -1.0000(*) .26514 .000 -1.5234 -.4766
D-CH -1.2063(*) .26514 .000 -1.7297 -.6828
P -1.0625(*) .26514 .000 -1.5859 -.5391
P+Ar -1.2250(*) .26514 .000 -1.7484 -.7016
B-Pr 16%' -1.5063(*) .30616 .000 -2.1107 -.9018
24%' -1.4750(*) .30616 .000 -2.0794 -.8706
33%' -2.0438(*) .30616 .000 -2.6482 -1.4393
A-Pr -.3875 .26514 .146 -.9109 .1359
C-CH -1.3875(*) .30616 .000 -1.9919 -.7831
D-CH -1.5938(*) .30616 .000 -2.1982 -.9893
P -1.4500(*) .30616 .000 -2.0544 -.8456
P+Ar -1.6125(*) .30616 .000 -2.2169 -1.0081
C-CH 16%' -.1188 .30616 .699 -.7232 .4857
24%' -.0875 .30616 .775 -.6919 .5169
33%' -.6563(*) .30616 .034 -1.2607 -.0518
A-Pr 1.0000(*) .26514 .000 .4766 1.5234
B-Pr 1.3875(*) .30616 .000 .7831 1.9919
D-CH -.2063 .30616 .501 -.8107 .3982
P -.0625 .30616 .838 -.6669 .5419
P+Ar -.2250 .30616 .463 -.8294 .3794
D-CH 16%' .0875 .30616 .775 -.5169 .6919
24%' .1188 .30616 .699 -.4857 .7232
33%' -.4500 .30616 .143 -1.0544 .1544
A-Pr 1.2063(*) .26514 .000 .6828 1.7297
B-Pr 1.5938(*) .30616 .000 .9893 2.1982
C-CH .2063 .30616 .501 -.3982 .8107
P .1438 .30616 .639 -.4607 .7482
P+Ar -.0188 .30616 .951 -.6232 .5857
P 16%' -.0563 .30616 .854 -.6607 .5482
24%' -.0250 .30616 .935 -.6294 .5794
33%' -.5938 .30616 .054 -1.1982 .0107
A-Pr 1.0625(*) .26514 .000 .5391 1.5859
B-Pr 1.4500(*) .30616 .000 .8456 2.0544
C-CH .0625 .30616 .838 -.5419 .6669
D-CH -.1438 .30616 .639 -.7482 .4607
P+Ar -.1625 .30616 .596 -.7669 .4419
P+Ar 16%' .1063 .30616 .729 -.4982 .7107
24%' .1375 .30616 .654 -.4669 .7419
33%' -.4313 .30616 .161 -1.0357 .1732
A-Pr 1.2250(*) .26514 .000 .7016 1.7484
B-Pr 1.6125(*) .30616 .000 1.0081 2.2169
C-CH .2250 .30616 .463 -.3794 .8294
D-CH .0188 .30616 .951 -.5857 .6232
P .1625 .30616 .596 -.4419 .7669
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MCream

Productname N Subset
1 2
Tukey B(a,b,c) B-Pr 24 6.3750
A-Pr 48 6.7625
C-CH 24
7.7625
P 24
7.8250
24%' 24
7.8500
16%' 24
7.8813
D-CH 24
7.9688
P+Ar 24
7.9875
33%' 24
8.4188
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.125.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:10
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MFat BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.26

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MFat
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 16391.965 1 16391.965 317.525 .000
Error 361.370 7 51.624(a)

Productname Hypothesis 197.282 8 24.660 8.209 .000
Error 168.236 56 3.004(b)

Panellist Hypothesis 361.370 7 51.624 17.528 .000
Error 171.067 58.083 2.945(c)

Productname * Panellist Hypothesis 168.236 56 3.004 2.104 .000
Error 239.933 168 1.428(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MFat
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 8.244 .244 7.762 8.725
24%' 8.881 .244 8.400 9.363
33%' 8.863 .244 8.381 9.344
A-Pr 7.131 .172 6.791 7.472
B-Pr 6.831 .244 6.350 7.313
C-CH 8.988 .244 8.506 9.469
D-CH 9.556 .244 9.075 10.038
P 8.731 .244 8.250 9.213
P+Ar 8.969 .244 8.487 9.450

2. Panellist
Dependent Variable: MFat
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 8.125 .224 7.684 8.566
2 7.847 .224 7.406 8.288
3 10.303 .224 9.862 10.744
4 7.094 .224 6.653 7.536
5 10.531 .224 10.089 10.972
6 8.456 .224 8.014 8.897
7 8.525 .224 8.084 8.966
8 6.847 .224 6.406 7.288

3. Productname * Panellist
Dependent Variable: MFat
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 7.800 .690 6.438 9.162
2 7.150 .690 5.788 8.512
3 9.950 .690 8.588 11.312
4 6.250 .690 4.888 7.612
5 10.800 .690 9.438 12.162
6 8.350 .690 6.988 9.712
7 9.000 .690 7.638 10.362
8 6.650 .690 5.288 8.012
24%' 1 7.550 .690 6.188 8.912
2 7.950 .690 6.588 9.312
3 10.850 .690 9.488 12.212
4 8.600 .690 7.238 9.962
5 10.850 .690 9.488 12.212
6 9.650 .690 8.288 11.012
7 9.000 .690 7.638 10.362
8 6.600 .690 5.238 7.962
33%' 1 9.600 .690 8.238 10.962
2 8.150 .690 6.788 9.512
3 10.400 .690 9.038 11.762
4 7.550 .690 6.188 8.912
5 10.400 .690 9.038 11.762
6 8.100 .690 6.738 9.462
7 9.000 .690 7.638 10.362
8 7.700 .690 6.338 9.062
A-Pr 1 5.075 .488 4.112 6.038
2 6.125 .488 5.162 7.088
3 9.425 .488 8.462 10.388
4 4.950 .488 3.987 5.913
5 9.725 .488 8.762 10.688
6 9.500 .488 8.537 10.463
7 6.275 .488 5.312 7.238
8 5.975 .488 5.012 6.938
B-Pr 1 5.300 .690 3.938 6.662
2 5.650 .690 4.288 7.012
3 9.450 .690 8.088 10.812
4 5.000 .690 3.638 6.362
5 9.650 .690 8.288 11.012
6 8.050 .690 6.688 9.412
7 5.100 .690 3.738 6.462
8 6.450 .690 5.088 7.812
C-CH 1 10.150 .690 8.788 11.512
2 9.800 .690 8.438 11.162
3 10.750 .690 9.388 12.112
4 7.300 .690 5.938 8.662
5 11.000 .690 9.638 12.362
6 6.950 .690 5.588 8.312
7 9.200 .690 7.838 10.562
8 6.750 .690 5.388 8.112
D-CH 1 9.050 .690 7.688 10.412
2 8.300 .690 6.938 9.662
3 11.150 .690 9.788 12.512
4 9.000 .690 7.638 10.362
5 10.850 .690 9.488 12.212
6 10.250 .690 8.888 11.612
7 10.350 .690 8.988 11.712
8 7.500 .690 6.138 8.862
P 1 9.150 .690 7.788 10.512
2 9.100 .690 7.738 10.462
3 10.100 .690 8.738 11.462
4 7.200 .690 5.838 8.562
5 10.850 .690 9.488 12.212
6 7.850 .690 6.488 9.212
7 9.100 .690 7.738 10.462
8 6.500 .690 5.138 7.862
P+Ar 1 9.450 .690 8.088 10.812
2 8.400 .690 7.038 9.762
3 10.650 .690 9.288 12.012
4 8.000 .690 6.638 9.362
5 10.650 .690 9.288 12.012
6 7.400 .690 6.038 8.762
7 9.700 .690 8.338 11.062
8 7.500 .690 6.138 8.862

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MFat

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.6375 .34498 .066 -1.3186 .0436
33%' -.6188 .34498 .075 -1.2998 .0623
A-Pr 1.1125(*) .29877 .000 .5227 1.7023
B-Pr 1.4125(*) .34498 .000 .7314 2.0936
C-CH -.7438(*) .34498 .033 -1.4248 -.0627
D-CH -1.3125(*) .34498 .000 -1.9936 -.6314
P -.4875 .34498 .159 -1.1686 .1936
P+Ar -.7250(*) .34498 .037 -1.4061 -.0439
24%' 16%' .6375 .34498 .066 -.0436 1.3186
33%' .0188 .34498 .957 -.6623 .6998
A-Pr 1.7500(*) .29877 .000 1.1602 2.3398
B-Pr 2.0500(*) .34498 .000 1.3689 2.7311
C-CH -.1063 .34498 .758 -.7873 .5748
D-CH -.6750 .34498 .052 -1.3561 .0061
P .1500 .34498 .664 -.5311 .8311
P+Ar -.0875 .34498 .800 -.7686 .5936
33%' 16%' .6188 .34498 .075 -.0623 1.2998
24%' -.0188 .34498 .957 -.6998 .6623
A-Pr 1.7313(*) .29877 .000 1.1414 2.3211
B-Pr 2.0313(*) .34498 .000 1.3502 2.7123
C-CH -.1250 .34498 .718 -.8061 .5561
D-CH -.6938(*) .34498 .046 -1.3748 -.0127
P .1313 .34498 .704 -.5498 .8123
P+Ar -.1063 .34498 .758 -.7873 .5748
A-Pr 16%' -1.1125(*) .29877 .000 -1.7023 -.5227
24%' -1.7500(*) .29877 .000 -2.3398 -1.1602
33%' -1.7313(*) .29877 .000 -2.3211 -1.1414
B-Pr .3000 .29877 .317 -.2898 .8898
C-CH -1.8563(*) .29877 .000 -2.4461 -1.2664
D-CH -2.4250(*) .29877 .000 -3.0148 -1.8352
P -1.6000(*) .29877 .000 -2.1898 -1.0102
P+Ar -1.8375(*) .29877 .000 -2.4273 -1.2477
B-Pr 16%' -1.4125(*) .34498 .000 -2.0936 -.7314
24%' -2.0500(*) .34498 .000 -2.7311 -1.3689
33%' -2.0313(*) .34498 .000 -2.7123 -1.3502
A-Pr -.3000 .29877 .317 -.8898 .2898
C-CH -2.1563(*) .34498 .000 -2.8373 -1.4752
D-CH -2.7250(*) .34498 .000 -3.4061 -2.0439
P -1.9000(*) .34498 .000 -2.5811 -1.2189
P+Ar -2.1375(*) .34498 .000 -2.8186 -1.4564
C-CH 16%' .7438(*) .34498 .033 .0627 1.4248
24%' .1063 .34498 .758 -.5748 .7873
33%' .1250 .34498 .718 -.5561 .8061
A-Pr 1.8563(*) .29877 .000 1.2664 2.4461
B-Pr 2.1563(*) .34498 .000 1.4752 2.8373
D-CH -.5688 .34498 .101 -1.2498 .1123
P .2563 .34498 .459 -.4248 .9373
P+Ar .0188 .34498 .957 -.6623 .6998
D-CH 16%' 1.3125(*) .34498 .000 .6314 1.9936
24%' .6750 .34498 .052 -.0061 1.3561
33%' .6938(*) .34498 .046 .0127 1.3748
A-Pr 2.4250(*) .29877 .000 1.8352 3.0148
B-Pr 2.7250(*) .34498 .000 2.0439 3.4061
C-CH .5688 .34498 .101 -.1123 1.2498
P .8250(*) .34498 .018 .1439 1.5061
P+Ar .5875 .34498 .090 -.0936 1.2686
P 16%' .4875 .34498 .159 -.1936 1.1686
24%' -.1500 .34498 .664 -.8311 .5311
33%' -.1313 .34498 .704 -.8123 .5498
A-Pr 1.6000(*) .29877 .000 1.0102 2.1898
B-Pr 1.9000(*) .34498 .000 1.2189 2.5811
C-CH -.2563 .34498 .459 -.9373 .4248
D-CH -.8250(*) .34498 .018 -1.5061 -.1439
P+Ar -.2375 .34498 .492 -.9186 .4436
P+Ar 16%' .7250(*) .34498 .037 .0439 1.4061
24%' .0875 .34498 .800 -.5936 .7686
33%' .1063 .34498 .758 -.5748 .7873
A-Pr 1.8375(*) .29877 .000 1.2477 2.4273
B-Pr 2.1375(*) .34498 .000 1.4564 2.8186
C-CH -.0188 .34498 .957 -.6998 .6623
D-CH -.5875 .34498 .090 -1.2686 .0936
P .2375 .34498 .492 -.4436 .9186
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MFat

Productname N Subset
1 2 3
Tukey B(a,b,c) B-Pr 24 6.8313

A-Pr 48 7.1313

16%' 24
8.2438
P 24
8.7313 8.7313
33%' 24
8.8625 8.8625
24%' 24
8.8813 8.8813
P+Ar 24
8.9688 8.9688
C-CH 24
8.9875 8.9875
D-CH 24

9.5563
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.428.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:10
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MButter BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.31

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MButter
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 15788.521 1 15788.521 241.548 .000
Error 457.547 7 65.364(a)

Productname Hypothesis 397.725 8 49.716 17.946 .000
Error 155.135 56 2.770(b)

Panellist Hypothesis 457.547 7 65.364 24.141 .000
Error 156.307 57.730 2.708(c)

Productname * Panellist Hypothesis 155.135 56 2.770 2.530 .000
Error 183.919 168 1.095(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MButter
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 8.063 .214 7.641 8.484
24%' 8.513 .214 8.091 8.934
33%' 9.275 .214 8.853 9.697
A-Pr 6.634 .151 6.336 6.933
B-Pr 5.644 .214 5.222 6.065
C-CH 9.438 .214 9.016 9.859
D-CH 8.869 .214 8.447 9.290
P 9.050 .214 8.628 9.472
P+Ar 9.294 .214 8.872 9.715

2. Panellist
Dependent Variable: MButter
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 8.003 .196 7.616 8.389
2 8.617 .196 8.230 9.003
3 10.581 .196 10.194 10.967
4 6.164 .196 5.778 6.550
5 9.447 .196 9.061 9.834
6 9.142 .196 8.755 9.528
7 8.222 .196 7.836 8.609
8 6.294 .196 5.908 6.681

3. Productname * Panellist
Dependent Variable: MButter
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 8.050 .604 6.857 9.243
2 7.050 .604 5.857 8.243
3 10.650 .604 9.457 11.843
4 4.800 .604 3.607 5.993
5 9.700 .604 8.507 10.893
6 8.100 .604 6.907 9.293
7 9.350 .604 8.157 10.543
8 6.800 .604 5.607 7.993
24%' 1 7.800 .604 6.607 8.993
2 10.150 .604 8.957 11.343
3 10.500 .604 9.307 11.693
4 7.300 .604 6.107 8.493
5 9.650 .604 8.457 10.843
6 8.350 .604 7.157 9.543
7 8.650 .604 7.457 9.843
8 5.700 .604 4.507 6.893
33%' 1 9.700 .604 8.507 10.893
2 8.350 .604 7.157 9.543
3 12.150 .604 10.957 13.343
4 7.150 .604 5.957 8.343
5 10.250 .604 9.057 11.443
6 10.500 .604 9.307 11.693
7 8.650 .604 7.457 9.843
8 7.450 .604 6.257 8.643
A-Pr 1 5.925 .427 5.082 6.768
2 7.550 .427 6.707 8.393
3 8.375 .427 7.532 9.218
4 4.025 .427 3.182 4.868
5 8.325 .427 7.482 9.168
6 7.325 .427 6.482 8.168
7 5.750 .427 4.907 6.593
8 5.800 .427 4.957 6.643
B-Pr 1 5.500 .604 4.307 6.693
2 5.100 .604 3.907 6.293
3 8.350 .604 7.157 9.543
4 3.150 .604 1.957 4.343
5 8.450 .604 7.257 9.643
6 5.450 .604 4.257 6.643
7 3.550 .604 2.357 4.743
8 5.600 .604 4.407 6.793
C-CH 1 9.450 .604 8.257 10.643
2 10.750 .604 9.557 11.943
3 11.500 .604 10.307 12.693
4 6.300 .604 5.107 7.493
5 10.000 .604 8.807 11.193
6 11.700 .604 10.507 12.893
7 8.950 .604 7.757 10.143
8 6.850 .604 5.657 8.043
D-CH 1 8.800 .604 7.607 9.993
2 8.350 .604 7.157 9.543
3 11.050 .604 9.857 12.243
4 8.400 .604 7.207 9.593
5 9.000 .604 7.807 10.193
6 9.150 .604 7.957 10.343
7 9.750 .604 8.557 10.943
8 6.450 .604 5.257 7.643
P 1 8.500 .604 7.307 9.693
2 9.850 .604 8.657 11.043
3 11.150 .604 9.957 12.343
4 7.250 .604 6.057 8.443
5 9.550 .604 8.357 10.743
6 10.700 .604 9.507 11.893
7 9.150 .604 7.957 10.343
8 6.250 .604 5.057 7.443
P+Ar 1 8.300 .604 7.107 9.493
2 10.400 .604 9.207 11.593
3 11.500 .604 10.307 12.693
4 7.100 .604 5.907 8.293
5 10.100 .604 8.907 11.293
6 11.000 .604 9.807 12.193
7 10.200 .604 9.007 11.393
8 5.750 .604 4.557 6.943

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MButter

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' -.4500 .30204 .138 -1.0463 .1463
33%' -1.2125(*) .30204 .000 -1.8088 -.6162
A-Pr 1.4281(*) .26158 .000 .9117 1.9445
B-Pr 2.4188(*) .30204 .000 1.8225 3.0150
C-CH -1.3750(*) .30204 .000 -1.9713 -.7787
D-CH -.8063(*) .30204 .008 -1.4025 -.2100
P -.9875(*) .30204 .001 -1.5838 -.3912
P+Ar -1.2313(*) .30204 .000 -1.8275 -.6350
24%' 16%' .4500 .30204 .138 -.1463 1.0463
33%' -.7625(*) .30204 .013 -1.3588 -.1662
A-Pr 1.8781(*) .26158 .000 1.3617 2.3945
B-Pr 2.8688(*) .30204 .000 2.2725 3.4650
C-CH -.9250(*) .30204 .003 -1.5213 -.3287
D-CH -.3563 .30204 .240 -.9525 .2400
P -.5375 .30204 .077 -1.1338 .0588
P+Ar -.7813(*) .30204 .011 -1.3775 -.1850
33%' 16%' 1.2125(*) .30204 .000 .6162 1.8088
24%' .7625(*) .30204 .013 .1662 1.3588
A-Pr 2.6406(*) .26158 .000 2.1242 3.1570
B-Pr 3.6313(*) .30204 .000 3.0350 4.2275
C-CH -.1625 .30204 .591 -.7588 .4338
D-CH .4063 .30204 .180 -.1900 1.0025
P .2250 .30204 .457 -.3713 .8213
P+Ar -.0187 .30204 .951 -.6150 .5775
A-Pr 16%' -1.4281(*) .26158 .000 -1.9445 -.9117
24%' -1.8781(*) .26158 .000 -2.3945 -1.3617
33%' -2.6406(*) .26158 .000 -3.1570 -2.1242
B-Pr .9906(*) .26158 .000 .4742 1.5070
C-CH -2.8031(*) .26158 .000 -3.3195 -2.2867
D-CH -2.2344(*) .26158 .000 -2.7508 -1.7180
P -2.4156(*) .26158 .000 -2.9320 -1.8992
P+Ar -2.6594(*) .26158 .000 -3.1758 -2.1430
B-Pr 16%' -2.4188(*) .30204 .000 -3.0150 -1.8225
24%' -2.8688(*) .30204 .000 -3.4650 -2.2725
33%' -3.6313(*) .30204 .000 -4.2275 -3.0350
A-Pr -.9906(*) .26158 .000 -1.5070 -.4742
C-CH -3.7938(*) .30204 .000 -4.3900 -3.1975
D-CH -3.2250(*) .30204 .000 -3.8213 -2.6287
P -3.4063(*) .30204 .000 -4.0025 -2.8100
P+Ar -3.6500(*) .30204 .000 -4.2463 -3.0537
C-CH 16%' 1.3750(*) .30204 .000 .7787 1.9713
24%' .9250(*) .30204 .003 .3287 1.5213
33%' .1625 .30204 .591 -.4338 .7588
A-Pr 2.8031(*) .26158 .000 2.2867 3.3195
B-Pr 3.7938(*) .30204 .000 3.1975 4.3900
D-CH .5688 .30204 .061 -.0275 1.1650
P .3875 .30204 .201 -.2088 .9838
P+Ar .1438 .30204 .635 -.4525 .7400
D-CH 16%' .8063(*) .30204 .008 .2100 1.4025
24%' .3563 .30204 .240 -.2400 .9525
33%' -.4063 .30204 .180 -1.0025 .1900
A-Pr 2.2344(*) .26158 .000 1.7180 2.7508
B-Pr 3.2250(*) .30204 .000 2.6287 3.8213
C-CH -.5688 .30204 .061 -1.1650 .0275
P -.1813 .30204 .549 -.7775 .4150
P+Ar -.4250 .30204 .161 -1.0213 .1713
P 16%' .9875(*) .30204 .001 .3912 1.5838
24%' .5375 .30204 .077 -.0588 1.1338
33%' -.2250 .30204 .457 -.8213 .3713
A-Pr 2.4156(*) .26158 .000 1.8992 2.9320
B-Pr 3.4063(*) .30204 .000 2.8100 4.0025
C-CH -.3875 .30204 .201 -.9838 .2088
D-CH .1813 .30204 .549 -.4150 .7775
P+Ar -.2438 .30204 .421 -.8400 .3525
P+Ar 16%' 1.2313(*) .30204 .000 .6350 1.8275
24%' .7813(*) .30204 .011 .1850 1.3775
33%' .0187 .30204 .951 -.5775 .6150
A-Pr 2.6594(*) .26158 .000 2.1430 3.1758
B-Pr 3.6500(*) .30204 .000 3.0537 4.2463
C-CH -.1438 .30204 .635 -.7400 .4525
D-CH .4250 .30204 .161 -.1713 1.0213
P .2438 .30204 .421 -.3525 .8400
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MButter

Productname N Subset
1 2 3 4 5
Tukey B(a,b,c) B-Pr 24 5.6438



A-Pr 48
6.6344


16%' 24

8.0625

24%' 24

8.5125 8.5125
D-CH 24

8.8688 8.8688 8.8688
P 24


9.0500 9.0500
33%' 24


9.2750 9.2750
P+Ar 24


9.2938 9.2938
C-CH 24



9.4375
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.095.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:11
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MSalt BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.34

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MSalt
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 9011.418 1 9011.418 228.147 .000
Error 276.488 7 39.498(a)

Productname Hypothesis 184.626 8 23.078 10.612 .000
Error 121.786 56 2.175(b)

Panellist Hypothesis 276.488 7 39.498 18.563 .000
Error 123.104 57.855 2.128(c)

Productname * Panellist Hypothesis 121.786 56 2.175 2.361 .000
Error 154.740 168 .921(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MSalt
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 6.544 .196 6.157 6.930
24%' 6.300 .196 5.913 6.687
33%' 6.756 .196 6.370 7.143
A-Pr 5.288 .139 5.014 5.561
B-Pr 5.256 .196 4.870 5.643
C-CH 8.194 .196 7.807 8.580
D-CH 5.394 .196 5.007 5.780
P 6.463 .196 6.076 6.849
P+Ar 6.300 .196 5.913 6.687

2. Panellist
Dependent Variable: MSalt
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 6.717 .179 6.362 7.071
2 5.611 .179 5.257 5.965
3 6.808 .179 6.454 7.163
4 4.247 .179 3.893 4.602
5 7.086 .179 6.732 7.440
6 7.889 .179 7.535 8.243
7 6.683 .179 6.329 7.038
8 5.175 .179 4.821 5.529

3. Productname * Panellist
Dependent Variable: MSalt
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 6.450 .554 5.356 7.544
2 5.950 .554 4.856 7.044
3 6.400 .554 5.306 7.494
4 5.250 .554 4.156 6.344
5 7.000 .554 5.906 8.094
6 8.850 .554 7.756 9.944
7 7.600 .554 6.506 8.694
8 4.850 .554 3.756 5.944
24%' 1 6.750 .554 5.656 7.844
2 6.200 .554 5.106 7.294
3 6.550 .554 5.456 7.644
4 4.650 .554 3.556 5.744
5 6.950 .554 5.856 8.044
6 7.550 .554 6.456 8.644
7 6.850 .554 5.756 7.944
8 4.900 .554 3.806 5.994
33%' 1 8.200 .554 7.106 9.294
2 6.150 .554 5.056 7.244
3 6.900 .554 5.806 7.994
4 4.150 .554 3.056 5.244
5 7.050 .554 5.956 8.144
6 9.150 .554 8.056 10.244
7 7.050 .554 5.956 8.144
8 5.400 .554 4.306 6.494
A-Pr 1 5.500 .392 4.727 6.273
2 4.500 .392 3.727 5.273
3 6.375 .392 5.602 7.148
4 3.475 .392 2.702 4.248
5 6.975 .392 6.202 7.748
6 4.750 .392 3.977 5.523
7 5.650 .392 4.877 6.423
8 5.075 .392 4.302 5.848
B-Pr 1 5.050 .554 3.956 6.144
2 4.050 .554 2.956 5.144
3 7.050 .554 5.956 8.144
4 3.200 .554 2.106 4.294
5 7.550 .554 6.456 8.644
6 5.750 .554 4.656 6.844
7 4.900 .554 3.806 5.994
8 4.500 .554 3.406 5.594
C-CH 1 8.800 .554 7.706 9.894
2 6.850 .554 5.756 7.944
3 7.950 .554 6.856 9.044
4 7.600 .554 6.506 8.694
5 8.650 .554 7.556 9.744
6 10.700 .554 9.606 11.794
7 9.150 .554 8.056 10.244
8 5.850 .554 4.756 6.944
D-CH 1 4.900 .554 3.806 5.994
2 5.150 .554 4.056 6.244
3 6.700 .554 5.606 7.794
4 2.850 .554 1.756 3.944
5 5.950 .554 4.856 7.044
6 6.550 .554 5.456 7.644
7 5.200 .554 4.106 6.294
8 5.850 .554 4.756 6.944
P 1 7.600 .554 6.506 8.694
2 6.050 .554 4.956 7.144
3 6.800 .554 5.706 7.894
4 3.950 .554 2.856 5.044
5 6.950 .554 5.856 8.044
6 8.900 .554 7.806 9.994
7 6.600 .554 5.506 7.694
8 4.850 .554 3.756 5.944
P+Ar 1 7.200 .554 6.106 8.294
2 5.600 .554 4.506 6.694
3 6.550 .554 5.456 7.644
4 3.100 .554 2.006 4.194
5 6.700 .554 5.606 7.794
6 8.800 .554 7.706 9.894
7 7.150 .554 6.056 8.244
8 5.300 .554 4.206 6.394

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MSalt

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' .2438 .27705 .380 -.3032 .7907
33%' -.2125 .27705 .444 -.7594 .3344
A-Pr 1.2563(*) .23993 .000 .7826 1.7299
B-Pr 1.2875(*) .27705 .000 .7406 1.8344
C-CH -1.6500(*) .27705 .000 -2.1969 -1.1031
D-CH 1.1500(*) .27705 .000 .6031 1.6969
P .0813 .27705 .770 -.4657 .6282
P+Ar .2438 .27705 .380 -.3032 .7907
24%' 16%' -.2438 .27705 .380 -.7907 .3032
33%' -.4563 .27705 .101 -1.0032 .0907
A-Pr 1.0125(*) .23993 .000 .5388 1.4862
B-Pr 1.0438(*) .27705 .000 .4968 1.5907
C-CH -1.8938(*) .27705 .000 -2.4407 -1.3468
D-CH .9063(*) .27705 .001 .3593 1.4532
P -.1625 .27705 .558 -.7094 .3844
P+Ar .0000 .27705 1.000 -.5469 .5469
33%' 16%' .2125 .27705 .444 -.3344 .7594
24%' .4563 .27705 .101 -.0907 1.0032
A-Pr 1.4688(*) .23993 .000 .9951 1.9424
B-Pr 1.5000(*) .27705 .000 .9531 2.0469
C-CH -1.4375(*) .27705 .000 -1.9844 -.8906
D-CH 1.3625(*) .27705 .000 .8156 1.9094
P .2938 .27705 .291 -.2532 .8407
P+Ar .4563 .27705 .101 -.0907 1.0032
A-Pr 16%' -1.2563(*) .23993 .000 -1.7299 -.7826
24%' -1.0125(*) .23993 .000 -1.4862 -.5388
33%' -1.4688(*) .23993 .000 -1.9424 -.9951
B-Pr .0313 .23993 .897 -.4424 .5049
C-CH -2.9063(*) .23993 .000 -3.3799 -2.4326
D-CH -.1063 .23993 .658 -.5799 .3674
P -1.1750(*) .23993 .000 -1.6487 -.7013
P+Ar -1.0125(*) .23993 .000 -1.4862 -.5388
B-Pr 16%' -1.2875(*) .27705 .000 -1.8344 -.7406
24%' -1.0438(*) .27705 .000 -1.5907 -.4968
33%' -1.5000(*) .27705 .000 -2.0469 -.9531
A-Pr -.0313 .23993 .897 -.5049 .4424
C-CH -2.9375(*) .27705 .000 -3.4844 -2.3906
D-CH -.1375 .27705 .620 -.6844 .4094
P -1.2063(*) .27705 .000 -1.7532 -.6593
P+Ar -1.0438(*) .27705 .000 -1.5907 -.4968
C-CH 16%' 1.6500(*) .27705 .000 1.1031 2.1969
24%' 1.8938(*) .27705 .000 1.3468 2.4407
33%' 1.4375(*) .27705 .000 .8906 1.9844
A-Pr 2.9063(*) .23993 .000 2.4326 3.3799
B-Pr 2.9375(*) .27705 .000 2.3906 3.4844
D-CH 2.8000(*) .27705 .000 2.2531 3.3469
P 1.7313(*) .27705 .000 1.1843 2.2782
P+Ar 1.8938(*) .27705 .000 1.3468 2.4407
D-CH 16%' -1.1500(*) .27705 .000 -1.6969 -.6031
24%' -.9063(*) .27705 .001 -1.4532 -.3593
33%' -1.3625(*) .27705 .000 -1.9094 -.8156
A-Pr .1063 .23993 .658 -.3674 .5799
B-Pr .1375 .27705 .620 -.4094 .6844
C-CH -2.8000(*) .27705 .000 -3.3469 -2.2531
P -1.0688(*) .27705 .000 -1.6157 -.5218
P+Ar -.9063(*) .27705 .001 -1.4532 -.3593
P 16%' -.0813 .27705 .770 -.6282 .4657
24%' .1625 .27705 .558 -.3844 .7094
33%' -.2938 .27705 .291 -.8407 .2532
A-Pr 1.1750(*) .23993 .000 .7013 1.6487
B-Pr 1.2063(*) .27705 .000 .6593 1.7532
C-CH -1.7313(*) .27705 .000 -2.2782 -1.1843
D-CH 1.0688(*) .27705 .000 .5218 1.6157
P+Ar .1625 .27705 .558 -.3844 .7094
P+Ar 16%' -.2438 .27705 .380 -.7907 .3032
24%' .0000 .27705 1.000 -.5469 .5469
33%' -.4563 .27705 .101 -1.0032 .0907
A-Pr 1.0125(*) .23993 .000 .5388 1.4862
B-Pr 1.0438(*) .27705 .000 .4968 1.5907
C-CH -1.8938(*) .27705 .000 -2.4407 -1.3468
D-CH .9063(*) .27705 .001 .3593 1.4532
P -.1625 .27705 .558 -.7094 .3844
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MSalt

Productname N Subset
1 2 3
Tukey B(a,b,c) B-Pr 24 5.2563

A-Pr 48 5.2875

D-CH 24 5.3938

24%' 24
6.3000
P+Ar 24
6.3000
P 24
6.4625
16%' 24
6.5438
33%' 24
6.7563
C-CH 24

8.1938
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = .921.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:11
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MSour BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.21

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MSour
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 12948.223 1 12948.223 250.685 .000
Error 361.559 7 51.651(a)

Productname Hypothesis 171.287 8 21.411 9.947 .000
Error 120.545 56 2.153(b)

Panellist Hypothesis 361.559 7 51.651 24.297 .000
Error 125.290 58.936 2.126(c)

Productname * Panellist Hypothesis 120.545 56 2.153 1.496 .026
Error 241.733 168 1.439(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MSour
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 7.638 .245 7.154 8.121
24%' 7.350 .245 6.867 7.833
33%' 6.731 .245 6.248 7.215
A-Pr 8.050 .173 7.708 8.392
B-Pr 9.700 .245 9.217 10.183
C-CH 6.638 .245 6.154 7.121
D-CH 6.931 .245 6.448 7.415
P 7.325 .245 6.842 7.808
P+Ar 7.356 .245 6.873 7.840

2. Panellist
Dependent Variable: MSour
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 7.450 .224 7.007 7.893
2 5.683 .224 5.240 6.126
3 7.072 .224 6.629 7.515
4 9.819 .224 9.377 10.262
5 7.022 .224 6.579 7.465
6 8.311 .224 7.868 8.754
7 8.619 .224 8.177 9.062
8 6.217 .224 5.774 6.660

3. Productname * Panellist
Dependent Variable: MSour
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 6.950 .693 5.583 8.317
2 6.400 .693 5.033 7.767
3 6.650 .693 5.283 8.017
4 10.150 .693 8.783 11.517
5 7.950 .693 6.583 9.317
6 8.450 .693 7.083 9.817
7 8.350 .693 6.983 9.717
8 6.200 .693 4.833 7.567
24%' 1 7.050 .693 5.683 8.417
2 5.400 .693 4.033 6.767
3 6.850 .693 5.483 8.217
4 8.900 .693 7.533 10.267
5 7.100 .693 5.733 8.467
6 8.850 .693 7.483 10.217
7 8.250 .693 6.883 9.617
8 6.400 .693 5.033 7.767
33%' 1 7.350 .693 5.983 8.717
2 4.150 .693 2.783 5.517
3 6.400 .693 5.033 7.767
4 9.500 .693 8.133 10.867
5 5.800 .693 4.433 7.167
6 7.000 .693 5.633 8.367
7 8.600 .693 7.233 9.967
8 5.050 .693 3.683 6.417
A-Pr 1 6.950 .490 5.983 7.917
2 7.450 .490 6.483 8.417
3 8.450 .490 7.483 9.417
4 10.625 .490 9.658 11.592
5 7.400 .490 6.433 8.367
6 7.050 .490 6.083 8.017
7 9.175 .490 8.208 10.142
8 7.300 .490 6.333 8.267
B-Pr 1 8.950 .693 7.583 10.317
2 8.700 .693 7.333 10.067
3 10.150 .693 8.783 11.517
4 11.550 .693 10.183 12.917
5 8.700 .693 7.333 10.067
6 11.300 .693 9.933 12.667
7 11.600 .693 10.233 12.967
8 6.650 .693 5.283 8.017
C-CH 1 6.650 .693 5.283 8.017
2 3.850 .693 2.483 5.217
3 6.850 .693 5.483 8.217
4 9.550 .693 8.183 10.917
5 6.300 .693 4.933 7.667
6 6.650 .693 5.283 8.017
7 8.650 .693 7.283 10.017
8 4.600 .693 3.233 5.967
D-CH 1 7.550 .693 6.183 8.917
2 5.500 .693 4.133 6.867
3 5.800 .693 4.433 7.167
4 8.250 .693 6.883 9.617
5 6.550 .693 5.183 7.917
6 8.200 .693 6.833 9.567
7 7.150 .693 5.783 8.517
8 6.450 .693 5.083 7.817
P 1 7.750 .693 6.383 9.117
2 4.200 .693 2.833 5.567
3 6.900 .693 5.533 8.267
4 10.500 .693 9.133 11.867
5 6.550 .693 5.183 7.917
6 8.650 .693 7.283 10.017
7 7.500 .693 6.133 8.867
8 6.550 .693 5.183 7.917
P+Ar 1 7.850 .693 6.483 9.217
2 5.500 .693 4.133 6.867
3 5.600 .693 4.233 6.967
4 9.350 .693 7.983 10.717
5 6.850 .693 5.483 8.217
6 8.650 .693 7.283 10.017
7 8.300 .693 6.933 9.667
8 6.750 .693 5.383 8.117

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MSour

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' .2875 .34628 .408 -.3961 .9711
33%' .9063(*) .34628 .010 .2226 1.5899
A-Pr -.4125 .29988 .171 -1.0045 .1795
B-Pr -2.0625(*) .34628 .000 -2.7461 -1.3789
C-CH 1.0000(*) .34628 .004 .3164 1.6836
D-CH .7063(*) .34628 .043 .0226 1.3899
P .3125 .34628 .368 -.3711 .9961
P+Ar .2813 .34628 .418 -.4024 .9649
24%' 16%' -.2875 .34628 .408 -.9711 .3961
33%' .6188 .34628 .076 -.0649 1.3024
A-Pr -.7000(*) .29988 .021 -1.2920 -.1080
B-Pr -2.3500(*) .34628 .000 -3.0336 -1.6664
C-CH .7125(*) .34628 .041 .0289 1.3961
D-CH .4188 .34628 .228 -.2649 1.1024
P .0250 .34628 .943 -.6586 .7086
P+Ar -.0063 .34628 .986 -.6899 .6774
33%' 16%' -.9063(*) .34628 .010 -1.5899 -.2226
24%' -.6188 .34628 .076 -1.3024 .0649
A-Pr -1.3188(*) .29988 .000 -1.9108 -.7267
B-Pr -2.9688(*) .34628 .000 -3.6524 -2.2851
C-CH .0938 .34628 .787 -.5899 .7774
D-CH -.2000 .34628 .564 -.8836 .4836
P -.5938 .34628 .088 -1.2774 .0899
P+Ar -.6250 .34628 .073 -1.3086 .0586
A-Pr 16%' .4125 .29988 .171 -.1795 1.0045
24%' .7000(*) .29988 .021 .1080 1.2920
33%' 1.3188(*) .29988 .000 .7267 1.9108
B-Pr -1.6500(*) .29988 .000 -2.2420 -1.0580
C-CH 1.4125(*) .29988 .000 .8205 2.0045
D-CH 1.1188(*) .29988 .000 .5267 1.7108
P .7250(*) .29988 .017 .1330 1.3170
P+Ar .6938(*) .29988 .022 .1017 1.2858
B-Pr 16%' 2.0625(*) .34628 .000 1.3789 2.7461
24%' 2.3500(*) .34628 .000 1.6664 3.0336
33%' 2.9688(*) .34628 .000 2.2851 3.6524
A-Pr 1.6500(*) .29988 .000 1.0580 2.2420
C-CH 3.0625(*) .34628 .000 2.3789 3.7461
D-CH 2.7688(*) .34628 .000 2.0851 3.4524
P 2.3750(*) .34628 .000 1.6914 3.0586
P+Ar 2.3438(*) .34628 .000 1.6601 3.0274
C-CH 16%' -1.0000(*) .34628 .004 -1.6836 -.3164
24%' -.7125(*) .34628 .041 -1.3961 -.0289
33%' -.0938 .34628 .787 -.7774 .5899
A-Pr -1.4125(*) .29988 .000 -2.0045 -.8205
B-Pr -3.0625(*) .34628 .000 -3.7461 -2.3789
D-CH -.2938 .34628 .397 -.9774 .3899
P -.6875(*) .34628 .049 -1.3711 -.0039
P+Ar -.7188(*) .34628 .039 -1.4024 -.0351
D-CH 16%' -.7063(*) .34628 .043 -1.3899 -.0226
24%' -.4188 .34628 .228 -1.1024 .2649
33%' .2000 .34628 .564 -.4836 .8836
A-Pr -1.1188(*) .29988 .000 -1.7108 -.5267
B-Pr -2.7688(*) .34628 .000 -3.4524 -2.0851
C-CH .2938 .34628 .397 -.3899 .9774
P -.3938 .34628 .257 -1.0774 .2899
P+Ar -.4250 .34628 .221 -1.1086 .2586
P 16%' -.3125 .34628 .368 -.9961 .3711
24%' -.0250 .34628 .943 -.7086 .6586
33%' .5938 .34628 .088 -.0899 1.2774
A-Pr -.7250(*) .29988 .017 -1.3170 -.1330
B-Pr -2.3750(*) .34628 .000 -3.0586 -1.6914
C-CH .6875(*) .34628 .049 .0039 1.3711
D-CH .3938 .34628 .257 -.2899 1.0774
P+Ar -.0313 .34628 .928 -.7149 .6524
P+Ar 16%' -.2813 .34628 .418 -.9649 .4024
24%' .0063 .34628 .986 -.6774 .6899
33%' .6250 .34628 .073 -.0586 1.3086
A-Pr -.6938(*) .29988 .022 -1.2858 -.1017
B-Pr -2.3438(*) .34628 .000 -3.0274 -1.6601
C-CH .7188(*) .34628 .039 .0351 1.4024
D-CH .4250 .34628 .221 -.2586 1.1086
P .0313 .34628 .928 -.6524 .7149
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MSour

Productname N Subset
1 2 3
Tukey B(a,b,c) C-CH 24 6.6375

33%' 24 6.7313

D-CH 24 6.9313

P 24 7.3250 7.3250
24%' 24 7.3500 7.3500
P+Ar 24 7.3563 7.3563
16%' 24 7.6375 7.6375
A-Pr 48
8.0500
B-Pr 24

9.7000
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = 1.439.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.

Univariate Analysis of Variance

Notes
Output Created 30-JUN-2006 12:35:11
Comments
Input Data C:\Documents and Settings\Michael Bom Frøst\Dokumenter\Papers\Multiway sensory paper\CreamCheeseRawData2000.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 240
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax UNIANOVA
MSweet BY Productname Panellist
/RANDOM = Panellist
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/POSTHOC = Productname ( BTUKEY LSD )
/EMMEANS = TABLES(Productname)
/EMMEANS = TABLES(Panellist)
/EMMEANS = TABLES(Productname*Panellist)
/CRITERIA = ALPHA(.05)
/DESIGN = Productname Panellist Productname*Panellist .
Resources Elapsed Time 0:00:00.17

Between-Subjects Factors


N
Productname 16%' 24
24%' 24
33%' 24
A-Pr 48
B-Pr 24
C-CH 24
D-CH 24
P 24
P+Ar 24
Panellist 1 30
2 30
3 30
4 30
5 30
6 30
7 30
8 30

Tests of Between-Subjects Effects
Dependent Variable: MSweet
Source
Type III Sum of Squares df Mean Square F Sig.
Intercept Hypothesis 2532.713 1 2532.713 67.829 .000
Error 261.379 7 37.340(a)

Productname Hypothesis 24.798 8 3.100 2.676 .015
Error 64.875 56 1.158(b)

Panellist Hypothesis 261.379 7 37.340 32.781 .000
Error 66.548 58.423 1.139(c)

Productname * Panellist Hypothesis 64.875 56 1.158 1.810 .002
Error 107.535 168 .640(d)

a MS(Panellist)
b MS(Productname * Panellist)
c .963 MS(Productname * Panellist) + .037 MS(Error)
d MS(Error)

Expected Mean Squares(a,b)
Source Variance Component
Var(Panellist) Var(Productname * Panellist) Var(Error) Quadratic Term
Intercept 28.588 3.176 1.000 Intercept, Productname
Productname .000 3.300 1.000 Productname
Panellist 28.588 3.176 1.000
Productname * Panellist .000 3.300 1.000
Error .000 .000 1.000
a For each source, the expected mean square equals the sum of the coefficients in the cells times the variance components, plus a quadratic term involving effects in the Quadratic Term cell.
b Expected Mean Squares are based on the Type III Sums of Squares.

Estimated Marginal Means

1. Productname
Dependent Variable: MSweet
Productname Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 3.563 .163 3.240 3.885
24%' 3.250 .163 2.928 3.572
33%' 3.925 .163 3.603 4.247
A-Pr 2.813 .115 2.585 3.040
B-Pr 3.081 .163 2.759 3.404
C-CH 3.206 .163 2.884 3.529
D-CH 3.488 .163 3.165 3.810
P 3.244 .163 2.921 3.566
P+Ar 3.381 .163 3.059 3.704

2. Panellist
Dependent Variable: MSweet
Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
1 3.903 .150 3.607 4.198
2 4.511 .150 4.216 4.807
3 1.753 .150 1.457 2.048
4 2.961 .150 2.666 3.257
5 2.972 .150 2.677 3.268
6 5.253 .150 4.957 5.548
7 2.589 .150 2.293 2.884
8 2.681 .150 2.385 2.976

3. Productname * Panellist
Dependent Variable: MSweet
Productname Panellist Mean Std. Error 95% Confidence Interval
Lower Bound Upper Bound
16%' 1 4.100 .462 3.188 5.012
2 4.300 .462 3.388 5.212
3 1.750 .462 .838 2.662
4 2.550 .462 1.638 3.462
5 3.100 .462 2.188 4.012
6 6.600 .462 5.688 7.512
7 3.150 .462 2.238 4.062
8 2.950 .462 2.038 3.862
24%' 1 4.150 .462 3.238 5.062
2 5.050 .462 4.138 5.962
3 1.700 .462 .788 2.612
4 2.850 .462 1.938 3.762
5 2.800 .462 1.888 3.712
6 4.200 .462 3.288 5.112
7 2.450 .462 1.538 3.362
8 2.800 .462 1.888 3.712
33%' 1 4.400 .462 3.488 5.312
2 4.900 .462 3.988 5.812
3 1.650 .462 .738 2.562
4 3.650 .462 2.738 4.562
5 3.400 .462 2.488 4.312
6 5.850 .462 4.938 6.762
7 4.350 .462 3.438 5.262
8 3.200 .462 2.288 4.112
A-Pr 1 3.275 .327 2.630 3.920
2 4.000 .327 3.355 4.645
3 1.775 .327 1.130 2.420
4 2.500 .327 1.855 3.145
5 2.600 .327 1.955 3.245
6 4.775 .327 4.130 5.420
7 1.300 .327 .655 1.945
8 2.275 .327 1.630 2.920
B-Pr 1 3.200 .462 2.288 4.112
2 3.800 .462 2.888 4.712
3 1.900 .462 .988 2.812
4 2.450 .462 1.538 3.362
5 2.500 .462 1.588 3.412
6 7.000 .462 6.088 7.912
7 1.100 .462 .188 2.012
8 2.700 .462 1.788 3.612
C-CH 1 4.200 .462 3.288 5.112
2 4.500 .462 3.588 5.412
3 1.750 .462 .838 2.662
4 3.200 .462 2.288 4.112
5 3.400 .462 2.488 4.312
6 4.900 .462 3.988 5.812
7 1.600 .462 .688 2.512
8 2.100 .462 1.188 3.012
D-CH 1 3.700 .462 2.788 4.612
2 4.300 .462 3.388 5.212
3 1.700 .462 .788 2.612
4 3.050 .462 2.138 3.962
5 3.150 .462 2.238 4.062
6 5.350 .462 4.438 6.262
7 4.350 .462 3.438 5.262
8 2.300 .462 1.388 3.212
P 1 3.900 .462 2.988 4.812
2 4.750 .462 3.838 5.662
3 1.650 .462 .738 2.562
4 2.800 .462 1.888 3.712
5 3.000 .462 2.088 3.912
6 4.450 .462 3.538 5.362
7 2.150 .462 1.238 3.062
8 3.250 .462 2.338 4.162
P+Ar 1 4.200 .462 3.288 5.112
2 5.000 .462 4.088 5.912
3 1.900 .462 .988 2.812
4 3.600 .462 2.688 4.512
5 2.800 .462 1.888 3.712
6 4.150 .462 3.238 5.062
7 2.850 .462 1.938 3.762
8 2.550 .462 1.638 3.462

Post Hoc Tests

Productname

Multiple Comparisons
Dependent Variable: MSweet

(I) Productname (J) Productname Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
LSD 16%' 24%' .3125 .23096 .178 -.1435 .7685
33%' -.3625 .23096 .118 -.8185 .0935
A-Pr .7500(*) .20001 .000 .3551 1.1449
B-Pr .4813(*) .23096 .039 .0253 .9372
C-CH .3563 .23096 .125 -.0997 .8122
D-CH .0750 .23096 .746 -.3810 .5310
P .3188 .23096 .169 -.1372 .7747
P+Ar .1813 .23096 .434 -.2747 .6372
24%' 16%' -.3125 .23096 .178 -.7685 .1435
33%' -.6750(*) .23096 .004 -1.1310 -.2190
A-Pr .4375(*) .20001 .030 .0426 .8324
B-Pr .1688 .23096 .466 -.2872 .6247
C-CH .0438 .23096 .850 -.4122 .4997
D-CH -.2375 .23096 .305 -.6935 .2185
P .0063 .23096 .978 -.4497 .4622
P+Ar -.1313 .23096 .571 -.5872 .3247
33%' 16%' .3625 .23096 .118 -.0935 .8185
24%' .6750(*) .23096 .004 .2190 1.1310
A-Pr 1.1125(*) .20001 .000 .7176 1.5074
B-Pr .8438(*) .23096 .000 .3878 1.2997
C-CH .7188(*) .23096 .002 .2628 1.1747
D-CH .4375 .23096 .060 -.0185 .8935
P .6813(*) .23096 .004 .2253 1.1372
P+Ar .5438(*) .23096 .020 .0878 .9997
A-Pr 16%' -.7500(*) .20001 .000 -1.1449 -.3551
24%' -.4375(*) .20001 .030 -.8324 -.0426
33%' -1.1125(*) .20001 .000 -1.5074 -.7176
B-Pr -.2688 .20001 .181 -.6636 .1261
C-CH -.3938 .20001 .051 -.7886 .0011
D-CH -.6750(*) .20001 .001 -1.0699 -.2801
P -.4313(*) .20001 .032 -.8261 -.0364
P+Ar -.5688(*) .20001 .005 -.9636 -.1739
B-Pr 16%' -.4813(*) .23096 .039 -.9372 -.0253
24%' -.1688 .23096 .466 -.6247 .2872
33%' -.8438(*) .23096 .000 -1.2997 -.3878
A-Pr .2688 .20001 .181 -.1261 .6636
C-CH -.1250 .23096 .589 -.5810 .3310
D-CH -.4063 .23096 .080 -.8622 .0497
P -.1625 .23096 .483 -.6185 .2935
P+Ar -.3000 .23096 .196 -.7560 .1560
C-CH 16%' -.3563 .23096 .125 -.8122 .0997
24%' -.0438 .23096 .850 -.4997 .4122
33%' -.7188(*) .23096 .002 -1.1747 -.2628
A-Pr .3938 .20001 .051 -.0011 .7886
B-Pr .1250 .23096 .589 -.3310 .5810
D-CH -.2813 .23096 .225 -.7372 .1747
P -.0375 .23096 .871 -.4935 .4185
P+Ar -.1750 .23096 .450 -.6310 .2810
D-CH 16%' -.0750 .23096 .746 -.5310 .3810
24%' .2375 .23096 .305 -.2185 .6935
33%' -.4375 .23096 .060 -.8935 .0185
A-Pr .6750(*) .20001 .001 .2801 1.0699
B-Pr .4063 .23096 .080 -.0497 .8622
C-CH .2813 .23096 .225 -.1747 .7372
P .2438 .23096 .293 -.2122 .6997
P+Ar .1063 .23096 .646 -.3497 .5622
P 16%' -.3188 .23096 .169 -.7747 .1372
24%' -.0063 .23096 .978 -.4622 .4497
33%' -.6813(*) .23096 .004 -1.1372 -.2253
A-Pr .4313(*) .20001 .032 .0364 .8261
B-Pr .1625 .23096 .483 -.2935 .6185
C-CH .0375 .23096 .871 -.4185 .4935
D-CH -.2438 .23096 .293 -.6997 .2122
P+Ar -.1375 .23096 .552 -.5935 .3185
P+Ar 16%' -.1813 .23096 .434 -.6372 .2747
24%' .1313 .23096 .571 -.3247 .5872
33%' -.5438(*) .23096 .020 -.9997 -.0878
A-Pr .5688(*) .20001 .005 .1739 .9636
B-Pr .3000 .23096 .196 -.1560 .7560
C-CH .1750 .23096 .450 -.2810 .6310
D-CH -.1063 .23096 .646 -.5622 .3497
P .1375 .23096 .552 -.3185 .5935
Based on observed means.
* The mean difference is significant at the .05 level.

Homogeneous Subsets

MSweet

Productname N Subset
1 2 3
Tukey B(a,b,c) A-Pr 48 2.8125

B-Pr 24 3.0813 3.0813
C-CH 24 3.2063 3.2063
P 24 3.2438 3.2438
24%' 24 3.2500 3.2500
P+Ar 24 3.3813 3.3813 3.3813
D-CH 24 3.4875 3.4875 3.4875
16%' 24
3.5625 3.5625
33%' 24

3.9250
Means for groups in homogeneous subsets are displayed.
Based on Type III Sum of Squares
The error term is Mean Square(Error) = .640.
a Uses Harmonic Mean Sample Size = 25.412.
b The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c Alpha = .05.