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Sample Size in Factor Analysis

Sample Size in Factor Analysis The factor analysis literature includes a range of recommendationsregarding the minimum sample size necessary to obtain factor solutions thatare adequately stable and that correspond closely to populationfactors. A fundamental misconception about this issue is that theminimum sample size, or the minimum ratio of sample size to the numberof variables, is invariant across studies. In fact, necessary sample size is dependent on several aspects of any givenstudy, including the level of communality of the variables and thelevel of overdetermination of the factors. The authors present atheoretical and mathematical framework that provides a basis forunderstanding and predicting these effects. The hypothesized effectsare verified by a sampling study using artificial data. Resultsdemonstrate the lack of validity of common rules of thumb and provide a basisfor establishing guidelines for sample size in factoranalysis. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychological Methods American Psychological Association

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Publisher
American Psychological Association
Copyright
Copyright © 1999 American Psychological Association
ISSN
1082-989x
eISSN
1939-1463
DOI
10.1037/1082-989X.4.1.84
Publisher site
See Article on Publisher Site

Abstract

The factor analysis literature includes a range of recommendationsregarding the minimum sample size necessary to obtain factor solutions thatare adequately stable and that correspond closely to populationfactors. A fundamental misconception about this issue is that theminimum sample size, or the minimum ratio of sample size to the numberof variables, is invariant across studies. In fact, necessary sample size is dependent on several aspects of any givenstudy, including the level of communality of the variables and thelevel of overdetermination of the factors. The authors present atheoretical and mathematical framework that provides a basis forunderstanding and predicting these effects. The hypothesized effectsare verified by a sampling study using artificial data. Resultsdemonstrate the lack of validity of common rules of thumb and provide a basisfor establishing guidelines for sample size in factoranalysis.

Journal

Psychological MethodsAmerican Psychological Association

Published: Mar 1, 1999

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