eigGen: Generate eigenvalues for R matrices with underlying component...

In fungible: Psychometric Functions from the Waller Lab

Generate eigenvalues for R matrices with underlying component structure

Description

Generate eigenvalues for R matrices with underlying component structure

Usage

eigGen(nDimensions = 15, nMajorFactors = 5, PrcntMajor = 0.8, threshold = 0.5)

Arguments

nDimensions	Total number of dimensions (variables).
nMajorFactors	Number of major factors.
PrcntMajor	Percentage of variance accounted for by major factors.
threshold	Minimm difference in eigenvalues between the last major factor and the first minor factor.

Value

A vector of eigenvalues that satisfies the above criteria.

Author(s)

Niels Waller

Examples

## Example
set.seed(323)
nDim <- 25   # number of dimensions
nMaj <- 5    # number of major components
pmaj <- 0.70 # percentage of variance accounted for
             # by major components
thresh <- 1  # eigenvalue difference between last major component 
             # and first minor component
 
L <- eigGen(nDimensions = nDim, nMajorFactors = nMaj, 
            PrcntMajor = pmaj, threshold = thresh)

maxy <- max(L+1)

plotTitle <- paste("  n Dimensions = ", nDim, 
                   ",  n Major Factors = ", nMaj, 
				           "\n % Variance Major Factors = ", pmaj*100, 
						   "%", sep = "")
				 
plot(1:length(L), L, 
     type = "b", 
     main = plotTitle,
     ylim = c(0, maxy),
     xlab = "Dimensions", 
	   ylab = "Eigenvalues",
	   cex.main = .9)				 

fungible documentation built on March 31, 2023, 5:47 p.m.