ASYMPTOTIC PROPERTIES OF ADAPTIVE DESIGNS FOR CLINICAL TRIALS WITH DELAYED RESPONSE

Abstract

Advances in Statistics, pp. 263-280 (2008) No AccessASYMPTOTIC PROPERTIES OF ADAPTIVE DESIGNS FOR CLINICAL TRIALS WITH DELAYED RESPONSEZ. D. BAI, FEIFANG HU, and WILLIAM F. ROSENBERGERZ. D. BAIDepartment of Statistics and Applied Probability, National University of Singapore, Singapore 119260, SingaporeSupported by a grant from the National University of Singapore., FEIFANG HUDepartment of Statistics, Halsey Hall, University of Virginia, Charlottesville, Virginia 22904-4135, USASupported by a grant from the National University of Singapore., and WILLIAM F. ROSENBERGERDepartment of Mathematics and Statistics, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, Maryland 21250, USASupported by Grant R29-DK51017-05 from the National Institute of Diabetes and Digestive and Kidney Diseases.https://doi.org/10.1142/9789812793096_0017Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: For adaptive clinical trials using a generalized Friedman's urn design, we derive the limiting distribution of the urn composition under staggered entry and delayed response. The stochastic delay mechanism is assumed to depend on both the treatment assigned and the patient's response. A very general setup is employed with K treatments and L responses. When L = K = 2, one example of a generalized Friedman's urn design is the randomized play-the-winner rule. An application of this rule occurred in a clinical trial of depression, which had staggered entry and delayed response. We show that maximum likelihood estimators from such a trial have the usual asymptotic properties. Keywords: Generalized Friedman's urnmartingalesrandomizationrandomized play-the-winner rulestaggered entrytreatment allocationurn modelsAMSC: 62G10 FiguresReferencesRelatedDetails Advances in StatisticsMetrics History KeywordsGeneralized Friedman's urnmartingalesrandomizationrandomized play-the-winner rulestaggered entrytreatment allocationurn modelsPDF download

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