Promax {psych}R Documentation

Perform promax or targeted rotations and return the inter factor angles

Description

promax is an oblique rotation function introduced by Hendrickson and White (1964) and implemented in the promax function in the stats package. Unfortunately, promax does not report the inter factor correlations. Promax does. target.rot does general target rotations to an arbitrary target matrix. The default target rotation is for an independent cluster solution.

Usage

Promax(x, m = 4)
target.rot(x,keys=NULL)

Arguments

x A loadings matrix
m the power to which to raise the varimax loadings (for Promax)
keys An arbitrary target matrix, can be composed of any weights, but probably -1,0, 1 weights. If missing, the target is the independent cluster structure determined by assigning every item to it's highest loaded factor.

Details

Promax is a very direct adaptation of the stats::promax function. The addition is that it will return the interfactor correlations as well as the loadings and rotation matrix.

In addition, it will take output from either the factanal, factor.pa, factor.minres or principal functions and select just the loadings matrix for analysis.

The target.rot function is an adaptation of a function of Michael Browne's to do rotations to arbitrary target matrices. Suggested by Pat Shrout.

The default for target.rot is to rotate to an independent cluster structure (every items is assigned to a group with its highest loading.)

target.rot will not handle targets that have linear dependencies (e.g., a pure bifactor model where there is a g loading and a group factor for all variables).

Value

loadings Oblique factor loadings
rotmat The rotation matrix applied to the original loadings to produce the promax soluion or the targeted matrix
Phi The interfactor correlation matrix

Note

A direct adaptation of the stats:promax function following suggestions to the R-help list by Ulrich Keller and John Fox. Furthe modified to do targeted rotation similar to a function of Michael Browne.

Author(s)

William Revelle

References

Hendrickson, A. E. and White, P. O, 1964, British Journal of Statistical Psychology, 17, 65-70.

See Also

promax, factor.pa, factor.minres, or principal

Examples

jen <- sim.hierarchical()
f3 <- factor.minres(jen,3)
Promax(f3)
target.rot(f3)
m3 <- factanal(covmat=jen,factors=3)
Promax(m3)  #example of taking the output from factanal
#compare this rotation with the solution from a targeted rotation aimed for an independent cluster solution
target.rot(m3)

[Package psych version 1.0-85 Index]