eigen.loadings: Convert eigen vectors and eigen values to the more normal...

Description Usage Arguments Value Note Author(s) Examples

Description

The default procedures for principal component returns values not immediately equivalent to the loadings from a factor analysis. eigen.loadings translates them into the more typical metric of eigen vectors multiplied by the squareroot of the eigenvalues. This lets us find pseudo factor loadings if we have used princomp or eigen.
If we use principal to do our principal components analysis, then we do not need this routine.

Usage

1

Arguments

x

the output from eigen or a list of class princomp derived from princomp

Value

A matrix of Principal Component loadings more typical for what is expected in psychometrics. That is, they are scaled by the square root of the eigenvalues.

Note

Useful for SAPA analyses

Author(s)

[email protected]
https://personality-project.org/revelle.html

Examples

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x <- eigen(Harman74.cor$cov)
x$vectors[1:8,1:4]  #as they appear from eigen
y <- princomp(covmat=Harman74.cor$cov) 
y$loadings[1:8,1:4] #as they appear from princomp
eigen.loadings(x)[1:8,1:4] # rescaled by the eigen values

Example output

           [,1]         [,2]       [,3]        [,4]
[1,] -0.2158754 -0.003763753 -0.3287459  0.16684940
[2,] -0.1401069 -0.054849237 -0.3075102  0.16446394
[3,] -0.1558742 -0.131808462 -0.3661446  0.08629700
[4,] -0.1789834 -0.122936419 -0.2572906  0.17620811
[5,] -0.2436443 -0.221950283  0.2577381  0.04309103
[6,] -0.2420622 -0.288461492  0.2037767 -0.06579018
[7,] -0.2372958 -0.293489427  0.2731887  0.05917239
[8,] -0.2433556 -0.167723001  0.1103619  0.09493344
                          Comp.1       Comp.2     Comp.3      Comp.4
VisualPerception      -0.2158754 -0.003763753 -0.3287459  0.16684940
Cubes                 -0.1401069 -0.054849237 -0.3075102  0.16446394
PaperFormBoard        -0.1558742 -0.131808462 -0.3661446  0.08629700
Flags                 -0.1789834 -0.122936419 -0.2572906  0.17620811
GeneralInformation    -0.2436443 -0.221950283  0.2577381  0.04309103
PargraphComprehension -0.2420622 -0.288461492  0.2037767 -0.06579018
SentenceCompletion    -0.2372958 -0.293489427  0.2731887  0.05917239
WordClassification    -0.2433556 -0.167723001  0.1103619  0.09493344
           [,1]         [,2]       [,3]        [,4]
[1,] -0.6157349 -0.005449052 -0.4276989  0.20447285
[2,] -0.3996226 -0.079409132 -0.4000712  0.20154949
[3,] -0.4445954 -0.190828463 -0.4763546  0.10575641
[4,] -0.5105089 -0.177983777 -0.3347354  0.21594189
[5,] -0.6949395 -0.321333174  0.3353177  0.05280778
[6,] -0.6904266 -0.417626171  0.2651138 -0.08062544
[7,] -0.6768317 -0.424905469  0.3554189  0.07251538
[8,] -0.6941158 -0.242824490  0.1435811  0.11634031

psych documentation built on Jan. 13, 2019, 1:05 a.m.