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Educational and Psychological Measurement
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What's this?

An Empirical Comparison of Two Methods for Testing the Significance of a Correlation Matrix

Gale A. Wilson

Texas Tech University

Samuel A. Martin

Central State University

The present paper reports on a "Monte Carlo" comparison of two methods of testing the significance of a correlation matrix to determine the suitability and appropriateness of factor analysis. Bartlett's (1950) chi-square test of sphericity and Steiger's (1980) chi-square test are evaluated using 320 computer-generated correlation matrices from samples of N = 20 and N = 200, having actual population correlation coefficients ranging from .01 to .64. A recommendation is made to use Steiger's test prior to factor analysis due to its increased power and computational simplicity relative to Bartlett's test.

Educational and Psychological Measurement, Vol. 43, No. 1, 11-14 (1983)
DOI: 10.1177/001316448304300102
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This article has been cited by other articles:


Home page
 Educational and Psychological MeasurementHome page
R. T. Fouladi and J. H. Steiger
Tests of Multivariate Independence: A Critical Analysis of "A Monte Carlo Study of Testing the Significance of Correlation Matrices" by Silver and Dunlap
Educational and Psychological Measurement, December 1, 1993; 53(4): 927 - 932.
[Abstract]

Home page
 Educational and Psychological MeasurementHome page
N. C. Silver and W. P. Dunlap
A Monte Carlo Study of Testing the Significance of Correlation Matrices
Educational and Psychological Measurement, September 1, 1989; 49(3): 563 - 569.
[Abstract]