00.GPArotateDF {GPArotateDF}R Documentation

Derivative-Free Gradient Projection Algorithms for Factor Rotation

Description

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)

Author(s)

Coen A. Bernaards and Robert I. Jennrich

References

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.

See Also

GPForth.df, GPFoblq.df


[Package GPArotateDF version 2023.11-1 Index]