We have just put a package GPArotation on CRAN. The functions in this
package perform an number of different orthogonal and oblique rotations
for factor analysis, using the gradient projection algorithm described
in Coen A. Bernaards and Robert I. Jennrich (2005), "Gradient
Projection Algorithms and Software for Arbitrary Rotation Criteria in
Factor Analysis, ", Educational and Psychological Measurement (in
press). Additional details are available on the web site
<http://www.stat.ucla.edu/research/gpa>.
The following rotations are available:
oblimin oblique oblimin family
quartimin oblique
targetT orthogonal target rotation
targetQ oblique target rotation
pstT orthogonal partially specified target rotation
pstQ oblique partially specified target rotation
oblimax oblique
entropy orthogonal minimum entropy
quartimax orthogonal
varimax orthogonal
simplimax oblique
bentlerT orthogonal Bentler's invariant pattern simplicity criterion
bentlerQ oblique Bentler's invariant pattern simplicity criterion
tandemI orthogonal Tandem Criterion
tandemII orthogonal Tandem Criterion
geominT orthogonal
geominQ oblique
cfT orthogonal Crawford-Ferguson family
cfQ oblique Crawford-Ferguson family
infomaxT orthogonal
infomaxQ oblique
mccammon orthogonal McCammon minimum entropy ratio
Other rotations can be fairly easily added simply by coding a small
function to calculate the rotation criterion objective function, and
its gradient. A detailed example of gradient computation is in the
paper mentioned above.
Paul Gilbert and
Coen Bernaards
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