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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