interbat: Tucker's Inter-Battery Method of Factor Analysis

In plsdepot: Partial Least Squares (PLS) Data Analysis Methods

Tucker's Inter-Battery Method of Factor Analysis

Description

The function interbat performs Tucker's Inter-Battery method of factor analysis as described in Michel Tenenhaus book La Regression PLS, chapter 3

Usage

  interbat(X, Y, scaled = TRUE)

Arguments

X	Numeric matrix or data frame with two or more columns (X-block).
Y	Numeric matrix or data frame with two or more columns (Y-block).
scaled	Logical value indicating whether to scale the data (TRUE by default).

Details

Arguments X and Y must contain more than one variable. No missing data are allowed.

Value

An object of class "interbat", basically a list with the following elements:

values	The extracted eigenvalues
x.scores	scores of the X-block (also known as T components)
x.wgs	weights of the X-block
y.scores	scores of the Y-block (also known as U components)
y.wgs	weights of the Y-block
cor.xt	correlations between X and T
cor.yu	correlations between Y and U
cor.xu	correlations between X and U
cor.yt	correlations between Y and T
cor.tu	correlations between T and U
R2X	explained variance of X by T
R2Y	explained variance of Y by U
com.xu	communality of X with U
com.yt	communality of Y with T
statistic	Phi statistic values for assessing the number of relevant components

Author(s)

Gaston Sanchez

References

Tenenhaus, M. (1998) La Regression PLS. Theorie et Pratique. Paris: Editions TECHNIP.

Tucker, L.R. (1958) An inter-battery method of factor analysis. Psychometrika, 23(2): 111-136.

See Also

plot.interbat, plsca

Examples

## Not run: 
 # load data linnerud
 data(linnerud)

 # apply inter-battery method
 ib = interbat(linnerud[,1:3], linnerud[,4:6])

 # plot variables
 plot(ib, what="variables")

 # plot observations
 plot(ib, what="observations", comps=c(1,1), where=c("t","u"))
 
## End(Not run)

plsdepot documentation built on April 1, 2023, 12:04 a.m.