A simulation study for comparing testing statistics in response-adaptive randomization
Xuemin Gu,J. Jack Lee +1 more
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TLDR
The Cook's correction to chi-square test and Williams' correction to log-likelihood-ratio test are generally recommended for hypothesis test in response-adaptive randomization, especially when sample sizes are small.Abstract:
Background
Response-adaptive randomizations are able to assign more patients in a comparative clinical trial to the tentatively better treatment. However, due to the adaptation in patient allocation, the samples to be compared are no longer independent. At large sample sizes, many asymptotic properties of test statistics derived for independent sample comparison are still applicable in adaptive randomization provided that the patient allocation ratio converges to an appropriate target asymptotically. However, the small sample properties of commonly used test statistics in response-adaptive randomization are not fully studied.read more
Citations
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References
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Simple and Effective Confidence Intervals for Proportions and Differences of Proportions Result from Adding Two Successes and Two Failures
Alan Agresti,Brian Caffo +1 more
TL;DR: This paper showed that simple adjustments of the standard confidence intervals based on adding four pseudo observations, half of each type, perform surprisingly well even for small samples, and used the same formulas with small and large samples in teaching with these adjusted intervals.
Book
Randomization in Clinical Trials: Theory and Practice
TL;DR: In this paper, the effects of bias bias bias on the allocation of treatment allocation in clinical trials are discussed, including the effect of unobserved covariates Selection bias Randomization as a Basis for Inference Inference for Stratified, Blocked, and Covariate-Adjusted Analyses Randomization in Practice Response-Adaptive Randomization Inference For Response Adaptive Rondomization Response Adaptation Randomization is used in Clinical Trials.
Journal ArticleDOI
Randomization in Clinical Trials: Theory and Practice;
TL;DR: Loads of the randomization in clinical trials theory and practice book catalogues in this site are found as the choice of you visiting this page.
Journal ArticleDOI
Optimal Adaptive Designs for Binary Response Trials
William F. Rosenberger,William F. Rosenberger,Nigel Stallard,Anastasia Ivanova,Cherice N. Harper,Michelle L. Ricks +5 more
TL;DR: It is found that the sequential procedure generally results in fewer treatment failures than the other procedures, particularly when the success probabilities of treatments are smaller.
BookDOI
The Theory of Response-Adaptive Randomization in Clinical Trials: Hu/Response-Adaptive
TL;DR: This book discusses response-adaptive randomization in clinical trials, as well as general framework and asymptotic results, and its implications for the Practice of Clinical Trials.