NIPALS.Biplot: Biplot using the NIPALS algorithm

In MultBiplotR: Multivariate Analysis Using Biplots in R

Biplot using the NIPALS algorithm

Description

Biplot using the NIPALS algorithm including a truncated and a sparse version.

Usage

NIPALS.Biplot(X, alpha = 1, dimension = 3, Scaling = 5, 
Type = "Regular", grouping = NULL, ...)

Arguments

X	The data matrix
alpha	A number between 0 and 1. 0 for GH-Biplot, 1 for JK-Biplot and 0.5 for SQRT-Biplot. Use 2 or any other value not in the interval [0,1] for HJ-Biplot.
dimension	Dimension of the solution
Scaling	Transformation of the original data. See InitialTransform for available transformations.
Type	Type of biplot (Regular, Truncated or Sparse)
grouping	Grouping fartor when the scaling is made with the within groups variability
...	Aditional arguments for the different types of biplots.

Details

Biplot using the NIPALS algorithm including a truncated and a sparse version.

Value

An object of class ContinuousBiplot with the following components:

Title	A general title
Type	NIPALS
call	call
Non_Scaled_Data	Original Data Matrix
Means	Means of the original Variables
Medians	Medians of the original Variables
Deviations	Standard Deviations of the original Variables
Minima	Minima of the original Variables
Maxima	Maxima of the original Variables
P25	25 Percentile of the original Variables
P75	75 Percentile of the original Variables
Gmean	Global mean of the complete matrix
Sup.Rows	Supplementary rows (Non Transformed)
Sup.Cols	Supplementary columns (Non Transformed)
Scaled_Data	Transformed Data
Scaled_Sup.Rows	Supplementary rows (Transformed)
Scaled_Sup.Cols	Supplementary columns (Transformed)
n	Number of Rows
p	Number of Columns
nrowsSup	Number of Supplementary Rows
ncolsSup	Number of Supplementary Columns
dim	Dimension of the Biplot
EigenValues	Eigenvalues
Inertia	Explained variance (Inertia)
CumInertia	Cumulative Explained variance (Inertia)
EV	EigenVectors
Structure	Correlations of the Principal Components and the Variables
RowCoordinates	Coordinates for the rows, including the supplementary
ColCoordinates	Coordinates for the columns, including the supplementary
RowContributions	Contributions for the rows, including the supplementary
ColContributions	Contributions for the columns, including the supplementary
Scale_Factor	Scale factor for the traditional plot with points and arrows. The row coordinates are multiplied and the column coordinates divided by that scale factor. The look of the plot is better without changing the inner product. For the HJ-Biplot the scale factor is 1.

Author(s)

Jose Luis Vicente Villardon

References

Wold, H. (1966). Estimation of principal components and related models by iterative least squares. Multivariate analysis. ACEDEMIC PRESS. 391-420.

Examples

bip1=NIPALS.Biplot(wine[,4:21], Type="Sparse", lambda=0.15)
plot(bip1)

MultBiplotR documentation built on Nov. 21, 2023, 5:08 p.m.