Response adaptive designs with asymptotic optimality. Issue 3 (5th August 2018)

• Record Type: Journal Article
• Authors: Yi, Yanqing; Li, Xuan
• Is Part Of: Canadian journal of statistics. Volume 46:Issue 3(2018)
• Page Start: 458
• Page End: 469
• Publication Date: 2018-08-05
• Subjects: Confidence interval -- coverage error probability -- most powerful test -- order of type I error rate -- response adaptive designs; Mathematical statistics -- Periodicals; 519.5
• DOI: 10.1002/cjs.11460
• Languages: English
• ISSNs: 0319-5724

Abstract

Abstract: This article discusses the asymptotic optimality of statistical inference for response‐adaptive designs, which has ethical advantages over traditional methods for clinical trials. The upper bound of statistical power of asymptotically level α tests is derived and the Wald statistic is shown to be asymptotically optimal in terms of achieving the upper bound of the asymptotic power. The rates of coverage error probability of the confidence interval are proven to depend on the convergence rate of the allocation proportions for non‐normally distributed responses. When the response density functions are normal density functions, it is proven that the coverage error probability and type I error rate are of the order n − 1 . The Canadian Journal of Statistics 46: 458–469; 2018 © 2018 Statistical Society of Canada