Optimum treatment allocation rules under a variance heterogeneity model.
We provide optimal treatment allocation schemes when the outcome variance varies across the treatment groups and our objectives are to estimate treatment effects with equal or unequal interest. Unlike other optimal designs, such as A-optimal designs, the proposed designs can be found without an iterative scheme. We evaluate robustness properties of the optimal designs to mis-specification in the expected variance from each group and identify situations when popular allocation schemes have poor efficiencies. An application to design a randomized rheumatoid arthritis trial is discussed, along with a potential application to design a cancer screening trial when the main outcome is a continuous variable.
Wong
Weng Kee
WK
Department of Biostatistics, School of Public Health, University of California at Los Angeles, 10833 Le Conte Ave., Los Angeles, CA 90095, USA. wkwong@ucla.edu
Zhu
Wei
W
D000704:Analysis of Variance; D001172:Arthritis, Rheumatoid / Q000188:drug therapy; D001699:Biometry / Q000379:methods; D006801:Humans; D016014:Linear Models; D008954:Models, Biological; D009369:Neoplasms / Q000517:prevention & control; D016032:Randomized Controlled Trials as Topic / Q000379:methods*; D012107:Research Design; D016896:Treatment Outcome