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COMPARISON BETWEEN TREATMENTS IN A REPEATED‐MEASUREMENT DESIGN: ANOVA AND MULTIVARIATE METHODS
Author(s) -
Rouanet H.,
Lépine D.
Publication year - 1970
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1970.tb00440.x
Subject(s) - multivariate statistics , statistics , repeated measures design , mathematics , multivariate analysis of variance , multivariate analysis , econometrics , computer science
This paper investigates several methods available for testing comparisons between treatments in a repeated‐measurement design, within the framework of the general multinormal model. Various ratios are considered, and the weakest assumptions required for the validity of each F ratio are presented. When several F ratios are valid, power considerations are introduced for purposes of choice. Methods enabling the testing of validity assumptions are also presented, together with alternative multivariate statistics which can be used when no F ratio is valid. All procedures presented in the paper are illustrated by a numerical example.