A HIERARCHICAL BINOMIAL-POISSON MODEL FOR THE ANALYSIS OF A CROSSOVER DESIGN FOR CORRELATED BINARY DATA WHEN THE NUMBER OF TRIALS IS DOSE-DEPENDENT

Autor:	Hansfried Van Craenendonck, Luc Bijnens, Thomas Steckler, Ziv Shkedy, Geert Molenberghs
Rok vydání:	2005
Předmět:	Statistics and Probability Reinforcement Schedule Poisson distribution Generalized linear mixed model Hierarchical generalized linear model symbols.namesake Statistics Odds Ratio Animals Cluster Analysis Pharmacology (medical) Poisson Distribution Generalized estimating equation Mathematics Pharmacology Cross-Over Studies Models Statistical Dose-Response Relationship Drug Linear model Bayes Theorem Rats Quasi-likelihood Research Design Data Interpretation Statistical Binary data Linear Models symbols Conditioning Operant Algorithms Count data
Zdroj:	Journal of Biopharmaceutical Statistics. 15:225-239
ISSN:	1520-5711 1054-3406
DOI:	10.1081/bip-200049825
Popis:	The differential reinforcement of a low-rate 72-seconds schedule (DRL-72) is a standard behavioral test procedure for screening a potential antidepressant compound. The data analyzed in the article are binary outcomes from a crossover design for such an experiment. Recently, Shkedy et al. ( 2004 ) proposed to estimate the treatments effect using either generalized linear mixed models (GLMM) or generalized estimating equations (GEE) for clustered binary data. The models proposed by Shkedy et al. ( 2004 ) assumed the number of responses at each binomial observation is fixed. This might be an unrealistic assumption for a behavioral experiment such as the DRL-72 because the number of responses (the number of trials in each binomial observation) is expected to be influenced by the administered dose level. In this article, we extend the model proposed by Shkedy et al. ( 2004 ) and propose a hierarchical Bayesian binomial-Poisson model, which assumes the number of responses to be a Poisson random variable. The results obtained from the GLMM and the binomial-Poisson models are comparable. However, the latter model allows estimating the correlation between the number of successes and number of trials.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afe1f2756c8055413fdee92a30969571 https://doi.org/10.1081/bip-200049825 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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