A comparison between two treatments in a clinical trial with an ethical allocation design. Issue 17 (22nd November 2017)

• Record Type: Journal Article
• Authors: Bandyopadhyay, Uttam; Das, Radhakanta
• Is Part Of: Journal of statistical computation and simulation. Volume 87:Issue 17(2017)
• Page Start: 3377
• Page End: 3397
• Publication Date: 2017-11-22
• Subjects: Ethical allocation -- probabilistic Rule and asymptotic power; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2017.1367394
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: The present article compares two treatments, say A and B, in the context of a clinical trial. Let X and Y be, respectively, the responses corresponding to A and B which have some continuous distributions. Here, the comparison is done through the parameterθ = P ( X < Y ) which is a very common functional in the context of reliability theory and survival analysis. We consider a two-stage data-dependent adaptive allocation design where the observations on X and Y are collected sequentially in two stages. We use the Mann–Whitney–Wilcoxon (MWW) statistic to provide a statistical comparison by a nonparametric approach. Various asymptotic results related to the proposed procedure are studied. The proposed procedure is also compared with the usual single-stage equal allocation design through statistical and clinical performances of the respective allocation procedures.