Abstract

A two stage randomized design is developed for two treatment clinical trials in which response variables are exponential and the observations are censored by using failure censoring and time censoring in the first and second stages respectively. The censoring time for the second stage is determined from the outcomes of the first stage. An application to testing for the equality of treatment effects is given along with a comparative study with relevant properties.

Highlights

  • Clinical trials involve a number of treatments and a comparison among the treatments is natural to identify the best treatment

  • We develop a two stage procedure with failure censoring in the first stage and determine the randomization probability of each second stage subject based on the first stage outcome

  • We suggest an adaptive time censoring in the second stage, which uses the first stage data in a convenient way to set the censoring time

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Summary

Introduction

Clinical trials involve a number of treatments and a comparison among the treatments is natural to identify the best treatment. The responses in a clinical trial are often time-to-event (e.g. remission) data. Uttam Bandyopadhyay & Rahul Bhattacharya number of human volunteers, a complete experiment results in loss of life. It is not ethically appealing to allow the trial to continue until all the patients respond. Some of the patients do not visit the clinic to register the response. It is neither feasible nor ethical to continue the trial indefinitely, and a curtailment becomes necessary

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