The Analysis of Variance Mixed Model with Allocated Observations: Application to Repeated Measurement Designs

Abstract

This article deals with layouts involving one random factor and at least one fixed factor crossed with the random factor, where the sum of the observations on each level of the random factor must equal a specified constant. The constant total for each random level can then be thought of as allocated among the levels of other factors. An allocation mixed model is proposed as a modification of the Scheffé mixed model, which applies when there are no constant-sum constraints. It is shown that for testing several hypotheses and estimating several parameters of interest, parallel statistical methods can be applied under the Scheffé and the allocation mixed models.