Results of IV-PCA

Results of Cubatch are mainly graphical (to have main numerical results, see report in the menu file). Here is an overview of what is displayed after an IV-PCA model.

Mode i: Loadings of thecorresponding modes (1,2, or 3D plots), for X or Y.

It is possible to have 1, 2, or 3 simultaneous PCA.

• PCA(Y)
• PCA(PxY): PCA of the projected of Y onto main subspaces of X.
• PCA(QxY): PCA of the orthogonal of PxY: PxY+QxY=Y.

Tools:

• Process control (available for 2D plots)
  • Hotelling's T² ellipsoïd: confidence region.
  • Potential functions: trace an estimated density of the probability of the points of the plot.
• Quality index: represents only points which are sufficiently representative (i.e. good explained variation).

Format:

• Continuous: points are connected.
• Discrete: points are not connected.

• Integer.
• Label.
• Marker.

Preferences:

• Color
• Marker
• Line style
• Grid
• Visible: when ubchecked, the learning cloud becomes unvisible.
• options of tools:
  • Hotelling's T² ellipsoïd:
    • Confidence levels.
    • Size: number of dots for the ellipse.
  • Potential contour:
    • Confidence levels.
    • Size: number of dots for the ellipse.

Explained variance

Plot of the core and representation of the importance of n-uplets of tucker model.

Qualities of modalities

• Explained variance (angle)
• SSE (distance)
• T² Hotelling statistic (proximities of modalities comparate to the learning cloud).

Model

Representation of the Tucker model.

Residuals

Representation of the residuals of the Tucker model.

Prediction

Some prediction plots are available.