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Multi-arm covariate-adaptive randomization
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作者 feifang hu Xiaoqing Ye Li-Xin Zhang 《Science China Mathematics》 SCIE CSCD 2023年第1期163-190,共28页
Simultaneously investigating multiple treatments in a single study achieves considerable efficiency in contrast to the traditional two-arm trials.Balancing treatment allocation for influential covariates has become in... Simultaneously investigating multiple treatments in a single study achieves considerable efficiency in contrast to the traditional two-arm trials.Balancing treatment allocation for influential covariates has become increasingly important in today’s clinical trials.The multi-arm covariate-adaptive randomized clinical trial is one of the most powerful tools to incorporate covariate information and multiple treatments in a single study.Pocock and Simon’s procedure has been extended to the multi-arm case.However,the theoretical properties of multi-arm covariate-adaptive randomization have remained largely elusive for decades.In this paper,we propose a general framework for multi-arm covariate-adaptive designs which also includes the two-arm case,and establish the corresponding theory under widely satisfied conditions.The theoretical results provide new insights into the balance properties of covariate-adaptive randomization procedures and make foundations for most existing statistical inferences under two-arm covariate-adaptive randomization.Furthermore,these open a door to study the theoretical properties of statistical inferences for clinical trials based on multi-arm covariateadaptive randomization procedures. 展开更多
关键词 multiple treatment balancing covariate clinical trial marginal balance Markov chain Hu and Hu’s general procedure Pocock and Simon’s procedure stratified permuted block design
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Comment on‘Inference after covariate-adaptive randomisation:aspects of methodology and theory’
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作者 Wei Ma Li-Xin Zhang feifang hu 《Statistical Theory and Related Fields》 2021年第3期187-189,共3页
In the past decade,significant progress has been made regarding inference under covariate-adaptive randomisation.We thank Prof.Shao for a timely review of the growing literature about the topic.The paper is focused on... In the past decade,significant progress has been made regarding inference under covariate-adaptive randomisation.We thank Prof.Shao for a timely review of the growing literature about the topic.The paper is focused on the most important and commonly used class of covariate-adaptive randomisation methods,i.e.,those balancing discrete covariates.The recent advances in robust inference are emphasised and discussed in detail.Several types of outcomes,such as continuous and time-to-event data,are covered.We here provide some additional recent results from the following five perspectives. 展开更多
关键词 RANDOM variate THANK
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