An adaptive design for multi-arm clinical trials

DOI10.1006/jmva.2001.1987zbMath1011.62079OpenAlexW2035868741MaRDI QIDQ1604614

Liang Shen, Fei-fang Hu, Zhi-Dong Bai

Publication date: 8 July 2002

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cdabc9636d8c073812da0de080c94f7dd38b170f

zbMATH Keywords

adaptive designsclinical trialsasymptotic limitsgeneralized Friedman's urnplay-the winner

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Sequential statistical design (62L05)

Related Items (max. 100)

Gaussian approximation theorems for urn models and their applications ⋮ On Multi-Treatment Adaptive Allocation Design for Dichotomous Response ⋮ An adaptive design for clinical trials with non-dichotomous response and prognostic factors ⋮ Randomized urn models revisited using stochastic approximation ⋮ Nonlinear unbalanced urn models via stochastic approximation ⋮ Multi-arm covariate-adaptive randomization ⋮ Immigrated urn models-theoretical properties and applications ⋮ A sequential design for a clinical trial with a linear prognostic factor ⋮ Independence after adaptive allocation ⋮ Asymptotic results on a class of adaptive multi-treatment designs ⋮ Asymptotic theorems of sequential estimation-adjusted urn models ⋮ Asymptotics in randomized urn models ⋮ Nonlinear randomized urn models: a stochastic approximation viewpoint ⋮ Adaptive designs for sequential experiments ⋮ Adaptative Designs for Multi-Arm Clinical Trials: The Play-the-Winner Rule Revisited ⋮ The Gaussian approximation for multi-color generalized Friedman's urn model ⋮ Multi-treatment covariate-adjusted adaptive design under informative censoring

Cites Work

• Distribution function inequalities for martingales
• The generalized Polya's urn design for sequential medical trials
• Estimation for an adaptive allocation design
• Asymptotic normality of maximum likelihood estimators from multiparameter response-driven designs
• Central limit theorems for urn models
• Asymptotic theorems for urn models with nonhomogeneous generating matrices
• The Randomized Play-the-Winner Rule in Medical Trials
• A randomized play-the-winner design for multi-arm clinical trials
• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems
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