Optimum designs for two treatments with unequal variances in the presence of covariates
成果类型：
Article
署名作者：
Atkinson, A. C.
署名单位：
University of London; London School Economics & Political Science
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/asu071
发表日期：
2015
页码：
494499
关键词：
摘要：
Optimum designs are described for two treatments with different variances when covariates are included in the model. The designs, a generalization of Neyman allocation, are required in personalized medicine to model the effect of covariates on the choice of treatment. The use of the designs in clinical trials is indicated. D-optimality of the designs is established using results from Kiefer's general equivalence theorem. The results are obtained with the use of surprisingly elementary algebra.
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