Tests of Sphericity of Normal Distributions and the Analysis of Repeated Measures Designs

1 June 1984

journal article
research article
Published by Cambridge University Press (CUP) in Psychometrika

Vol. 49 (2) , 257-267
https://doi.org/10.1007/bf02294176

Abstract

The locally best invariant test statistic for testing sphericity of normal distributions is shown to be a simple function of the Box/Geisser-Greenhouse degrees of freedom correction factor in a repeated measures design. Because of this relationship it provides a more intuitively appealing test of the necessary and sufficient conditions for valid F-tests in repeated measures analysis of variance than the likelihood ratio test. The properties of the two tests are compared and tables of the critical values of the Box/Geisser-Greenhouse correction factor are given.

Keywords

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