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Univariate Repeated Measures Techniques Applied to Multivariate Data

Published online by Cambridge University Press:  01 January 2025

D. Roland Thomas
D. Roland Thomas*
Affiliation:
Carleton University
*
Requests for reprints should be sent to D. Roland Thomas, Computing Services, Room 1203 AT, Carleton University, Ottawa, Canada, K1S 5B6.
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Abstract

Repeated measures designs in psychology have traditionally been analyzed by the univariate mixed model approach, in which the repeated measures effect is tested against an error term based on the subject by treatment interaction. This paper considers the extension of this analysis to designs in which the individual repeated measures are multivariate. Sufficient conditions for a valid multivariate mixed model analysis are given, and a test is described to determine whether or not given data satisfy these conditions.

Keywords

multivariaterepeated measuresmixed modelsufficient conditionsmultivariate sphericityMauchly test
Type
Original Paper
Information
Psychometrika , Volume 48 , Issue 3 , September 1983 , pp. 451 - 464
Copyright
Copyright © 1983 The Psychometric Society

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References

Reference Notes

Thomas, D. R. On the extension of univariate repeated measures ANOV A techniques to multivariate data. Unpublished manuscript, Computing Services, Carleton University, 1981.Google Scholar
Thomas, D. R. Covariance matrices for univariate repeated measures designs. Carleton Mathematical Series, No. 121, Carleton University, 1975.Google Scholar

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