Matrix rotations

Orthogonal and oblique matrix rotations.

p = number of variables, m = number of factors.

Method	Parameters	Purpose
Varimax		Orthogonal only. A computational faster equivalent to CF-Varimax.
Promax	power 0 ... 4	Oblique only.
Crawford-Ferguson	kappa 0 ... 1	Smaller kappa minimizes variables complexity and larger kappa minimizes factor complexity.
CF-Varimax	Crawford-Ferguson kappa = 1/p.	Spread variances across factors. Each factor tends to have either large or small loadings on a particular variable making it easy to identify each variable with a single factor.
CF-Quartimax	Crawford-Ferguson kappa = 0.	Minimizes variable complexity. Works well with distinct clusters without cross-loadings.
CF-Equamax	Crawford-Ferguson kappa = m/(2p).
CF-Parsimax	Crawford-Ferguson kappa = (m-1) / (p+m-2).
CF-Factor Parsimony	Crawford-Ferguson kappa = 1.	Minimizes factor complexity. Primarily of theoretical interest.
Oblimin	gamma 0 ... 1
O-Quartimin	Oblimin gamma = 0.	Equivalent to quartimax.
O-Biquartimin	Oblimin gamma = 0.5.
O-Covarimin	Oblimin gamma = 1.	Equivalent to varimax.
Geomin	delta > 0	Minimizes variable complexity.

Related concepts

Factor rotation

Available in Analyse-it Editions
Standard edition
Method Validation edition
Quality Control & Improvement edition
Ultimate edition

Analyse-it Software, Ltd.
The Tannery, 91 Kirkstall Road,
Leeds, LS3 1HS,
United Kingdom

® Copyright Analyse-it Software, Ltd. 2025.
All rights reserved.

MSA (Measurement System Analysis) software Measurement System Analysis software Reference interval software ROC curve software Sensitivity & Specificity analysis software Method comparison software Bland-Altman software Deming regression software Passing Bablok software Method Validation software Statistical Process Control (SPC) statistical software SPC software Six Sigma statistical software Excel SPC addin Excel Statistical Process Control (SPC) add-in Pareto plot software software for Excel Pareto plot add-in software for Excel Pareto chart add-in software for Excel Control chart Excel add-in Process Capability statistical software Capability Analysis add-in software Principal Component analysis addin software Excel PCA add-in Excel ANOVA add-in ANCOVA software Multiple Regression analysis add-in software Multiple Linear Regression statistical software Excel model fitting software Excel statistics analysis addin software Excel statistical analysis addin software Statistics software Statistical analysis software

Last update 1:09:57 PM
AnalyseIt.Public 4.0.9154.38582 Production US Remote database