Title
An urn model to construct an efficient test procedure for response adaptive designs
Abstract
We study the statistical performance of different tests for comparing the mean effect of two treatments. Given a reference classical test \({\mathcal {T}}_0\), we determine which sample size and proportion allocation guarantee to a test \({\mathcal {T}}\), based on response-adaptive design, to be better than \({\mathcal {T}}_0\), in terms of (a) higher power and (b) fewer subjects assigned to the inferior treatment. The adoption of a response-adaptive design to implement the random allocation procedure is necessary to ensure that both (a) and (b) are satisfied. In particular, we propose to use a Modified Randomly Reinforced Urn design and we show how to perform the model parameters selection for the purpose of this paper. Then, the opportunity of relaxing some assumptions on treatment response distributions is presented. Results of simulation studies on the test performance are reported and a real case study is analyzed.
Year
DOI
Venue
2016
10.1007/s10260-015-0314-y
Statistical Methods and Applications
Keywords
Field
DocType
Response adaptive designs, Clinical trials, Randomly reinforced urns, Tests based on adaptive procedures
Econometrics,Statistics,Sample size determination,Mathematics,Test procedures
Journal
Volume
Issue
ISSN
25
2
1613-981X
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
andrea ghiglietti121.06
Anna Maria Paganoni274.45