Derivative-Free GPA Rotation for Factor Analysis
The GPArotateDF package contains functions for the rotation of factor loadings matrices without the need for deriving gradients. Both orthogonal and oblique rotation algorithms are available. Additionally, a number of rotation criteria are provided. The GP algorithms minimize the rotation criterion function, and provide the corresponding rotation matrix. For oblique rotation, the covariance / correlation matrix of the factors is also provided. The derivartive-free rotation method implemented in this package is described in Jennrich (2004). The GPArotation package is based on Bernaards and Jennrich (2005).
| Package: | GPArotateDF |
| Depends: | R (>= 2.0.0) |
| License: | GPL Version 2. |
| Imports: | GPArotation |
Index of functions:
Derivative-Free Gradient Projection Rotation Algorithms
GPForth.df | Orthogonal rotation function |
GPFoblq.df | Oblique rotation function |
Rotations
cubimax.df | Cubimax rotation |
fssQ.df | Oblique Forced Simple Structure rotation |
fssT.df | Orthogonal Forced Simple Structure rotation |
ff routines to compute value of the criterion
ff.bentler | Bentler's Invariant Pattern Simplicity ff |
ff.cf | Crawford-Ferguson Family ff |
ff.cubimax | Cubimax ff |
ff.entropy | Minimum Entropy ff |
ff.geomin | Geomin ff |
ff.infomax | Infomax ff |
ff.oblimax | Oblimax ff |
ff.pst | Partially Specified Target ff |
ff.quartimax | Quartimax ff |
ff.quartimin | Quartimin ff |
ff.simplimax | Simplimax ff |
ff.fss | Forced Simple Structure ff |
ff.target | Target ff |
ff.varimax | Varimax ff |
Utility functions
NormalizingWeight | Kaiser normalization (not exported from NAMESPACE) |
Coen A. Bernaards and Robert I. Jennrich
Bernaards, C.A. and Jennrich, R.I. (2005) Gradient Projection Algorithms and Software for Arbitrary Rotation Criteria in Factor Analysis. Educational and Psychological Measurement, 65, 676--696.
Jennrich, R.I. (2004). Derivative free gradient projection algorithms for rotation. Psychometrika, 69, 475--480.
GPForth.df,
GPFoblq.df