Statistics and Its Interface

Volume 9 (2016)

Number 1

An invariant allocation function for multi-treatment clinical trials

Pages: 1 – 10



Uttam Bandyopadhyay (Department of Statistics, Calcutta University, Kolkata, India)

Rahul Bhattacharya (Department of Statistics, Calcutta University, Kolkata, India)


An allocation function, invariant under monotonic transformation, is proposed in the context of multi-arm clinical trials for a class of continuous response distributions. The aim is to skew the allocation towards the most promising treatment using the whole information about the response distributions. A response adaptive implementation based on the proposed allocation function is suggested and assessed through some useful performance measures.


response adaptive allocation, clinical trial, censoring

2010 Mathematics Subject Classification

Primary 62L05. Secondary 62G05.

Published 22 October 2015