Varimax rotation

Varimax rotation

Varimax rotation is a change of coordinates used in principal component analysis that maximizes the sum of the variance of the loading vectors. That is, it seeks a basis such that most economically represents each individual—that each individual can be well described by a linear combination of only a few basis functions.

Suggested by Henry Felix Kaiser in 1958, it is a popular scheme for orthogonal rotation which cleans up the factors as follows: "for each factor, high loadings (correlations) will result for a few variables; the rest will be near zero."

The advantages and disadvantages of the technique is discussed at the website of Columbia University cite web
last =
first =
authorlink =
coauthors =
title = Singular Value Decomposition
work =
publisher =
date =
url = http://ingrid.ldeo.columbia.edu/dochelp/StatTutorial/SVD/
format =
doi =
accessdate = 20 September
accessyear = 2008
] .

Notes

See also

* Empirical orthogonal functions
* Q methodology
* Rotation matrix

External links

* [http://www.utd.edu/~herve/Abdi-rotations-pretty.pdf Factor rotations in Factor Analyses by Herve Abdi]
* [http://www.stat.ufl.edu/~tpark/Research/about_varimax.html About Varimax]
* [http://www.itl.nist.gov/div898/handbook/pmc/section5/pmc551.htm#measure Properties of Principal Components]


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