Necessary and Sufficient Conditions forFRatios in theL×J×KFactorial Design with Two Repeated Factors
- 1 December 1976
- journal article
- theory and-method
- Published by Taylor & Francis in Journal of the American Statistical Association
- Vol. 71 (356) , 992-993
- https://doi.org/10.1080/01621459.1976.10480983
Abstract
Assuming multivariate normality, a necessary and sufficient condition is derived for the validity of each F ratio in an L × J × K factorial design with repeated measurements on the last two factors. The condition is: C'Σ1C = C'Σ2C =…= C'Σ L C = σ2I, where C is the contrast matrix representing the comparison of interest, and Σ i , i = 1, 2, …, L, is a (JK) × (JK) population dispersion matrix.Keywords
This publication has 2 references indexed in Scilit:
- Conditions Under Which Mean Square Ratios in Repeated Measurements Designs Have Exact F-DistributionsJournal of the American Statistical Association, 1970
- COMPARISON BETWEEN TREATMENTS IN A REPEATED‐MEASUREMENT DESIGN: ANOVA AND MULTIVARIATE METHODSBritish Journal of Mathematical and Statistical Psychology, 1970