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A Significance Test for Multisample Sphericity

Published online by Cambridge University Press:  01 January 2025

Jorge L. Mendoza
Jorge L. Mendoza*
Affiliation:
University of Georgia
*
Requests for reprints should be sent to Jorge L. Mendoza, Department of Psychology, University of Georgia, Athens, GA 30602.
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Abstract

The paper obtains a maximum likelihood criterion test for multisample sphericity. The test contains Mauchly’s sphericity test as a special case.

Keywords

circularitymultisample circularityrepeated measures designs

Information

Type
Notes And Comments
Information
Psychometrika , Volume 45 , Issue 4 , December 1980 , pp. 495 - 498
Copyright
Copyright © 1980 The Psychometric Society

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Footnotes

I would like to thank Professor R. E. Bargmann for his most valuable help.

References

Anderson, T. W. An introduction to multivariate statistical analysis, 1958, New York: John Wiley & Sons, Inc..Google Scholar
Box, G. E. P. A general distribution theory for a class of likelihood criteria. Biometrika, 1949, 36, 317–346.CrossRefGoogle ScholarPubMed
Huynh, H., & Feldt, L. S. Conditions under mean square ratios in repeated measurements designs have exact F-distributions. Journal of the American Statistical Association, 1970, 65, 1582–1585.10.1080/01621459.1970.10481187CrossRefGoogle Scholar
Mauchly, J. W. Significance test for sphericity of a normal n-variate distribution. Annuals of Mathematical Statistics, 1940, 11, 204–209.10.1214/aoms/1177731915CrossRefGoogle Scholar