The British Journal of Mathematical and Statistical
Psychology,
Vol.
23, Part 2, p. 147, November 1970
COMPARISON BETWEEN TREATMENS IN A
REPEATED-MEASUREMENT DESIGN:
ANOVA AND MULTIVARIATE METHODS
By H. Rouanet and D. Lépine
Laboratoire de Psychologie Expérimentale et Comparée, Associé au C.N.R.S. Paris
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 purpose 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.