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GPArotation: Gradient Projection Factor Rotation

Gradient projection algorithms for orthogonal and oblique rotation of factor loadings matrices in factor analysis. Implements a comprehensive set of rotation criteria including quartimax, quartimin, oblimin, geomin, simplimax, the Crawford-Ferguson family, and target rotation, among others. Supports multiple random starts. For details see Bernaards and Jennrich (2005) <doi:10.1177/0013164404272507>.

Version: 2026.4-1
Depends: R (≥ 3.5.0)
Imports: stats
Published: 2026-04-29
DOI: 10.32614/CRAN.package.GPArotation
Author: Coen Bernaards [aut, cre], Paul Gilbert [aut], Robert Jennrich [aut]
Maintainer: Coen Bernaards <cab.gparotation at gmail.com>
License: GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]
URL: https://cran.r-project.org/package=GPArotation
NeedsCompilation: no
Citation: GPArotation citation info
Materials: NEWS
In views: Psychometrics
CRAN checks: GPArotation results

Documentation:

Reference manual: GPArotation.html , GPArotation.pdf
Vignettes: Gradient Projection Factor Rotation (source, R code)
Assessing Local Minima in Factor Rotation (source, R code)
Bifactor Rotation and Reliability Coefficients (source, R code)

Downloads:

Package source: GPArotation_2026.4-1.tar.gz
Windows binaries: r-devel: GPArotation_2026.4-1.zip, r-release: GPArotation_2026.4-1.zip, r-oldrel: GPArotation_2025.3-1.zip
macOS binaries: r-release (arm64): GPArotation_2026.4-1.tgz, r-oldrel (arm64): GPArotation_2026.4-1.tgz, r-release (x86_64): GPArotation_2025.3-1.tgz, r-oldrel (x86_64): GPArotation_2025.3-1.tgz
Old sources: GPArotation archive

Reverse dependencies:

Reverse depends: brxx, esem, PCovR, REMLA
Reverse imports: cdmTools, Compind, EFA.dimensions, EFAtools, EFAutilities, EGAnet, EMMAgeo, epca, fungible, GPArotateDF, jmv, kfa, lsirm12pl, mirt, MixLFA, MultBiplotR, multivarious, netCoin, psych, radiant.multivariate, RSP, ufs, whomds
Reverse suggests: bruceR, ecostats, fad, FinTS, JWileymisc, parameters, performance, psycho, psychTools, REdaS, SignalY, sjPlot, TAM, umx

Linking:

Please use the canonical form https://CRAN.R-project.org/package=GPArotation to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
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