The Analysis of Variance Mixed Model with Allocated Observations: Application to Repeated Measurement Designs
针对观测总和在随机因子各水平上必须为常数的布局,提出了分配混合模型作为Scheffé混合模型的改进,并证明在假设检验和参数估计上两者可采用平行统计方法。
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.