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Design of multi‐centre trials with binary response
Author(s) -
Dragalin Vladimir,
Fedorov Valerii
Publication year - 2006
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.2406
Subject(s) - statistics , estimator , mathematics , multivariate statistics , binomial (polynomial) , binary number , variance (accounting) , likelihood function , maximum likelihood , covariance , multivariate analysis of variance , delta method , binary data , covariance matrix , simple (philosophy) , accounting , arithmetic , business , philosophy , epistemology
We propose a correlated beta‐binomial model for the binary response in multi‐centre trials. The likelihood function in this case has a closed‐form and we avoid multivariate numerical integrations in determining the maximum likelihood estimator. Based on derived asymptotic variance–covariance matrix of the MLE, we obtain relatively simple formulae that relate the number of centres, the total number of patients and the precision of the parameter estimate. Copyright © 2005 John Wiley & Sons, Ltd.