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Bayesian and hierarchical Bayesian analysis of response - time data with concomitant variables

Bayesian and hierarchical Bayesian analysis of response - time data with concomitant variables
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摘要 This paper considers the Bayes and hierarchical Bayes approaches for analyzing clinical data on response times with available values for one or more concomitant variables. Response times are assumed to follow simple exponential distributions, with a different parameter for each patient. The analyses are carried out in case of progressive censoring assuming squared error loss function and gamma distribution as priors and hyperpriors. The possibilities of using the methodology in more general situations like dose- response modeling have also been explored. Bayesian estimators derived in this paper are applied to lung cancer data set with concomitant variables. This paper considers the Bayes and hierarchical Bayes approaches for analyzing clinical data on response times with available values for one or more concomitant variables. Response times are assumed to follow simple exponential distributions, with a different parameter for each patient. The analyses are carried out in case of progressive censoring assuming squared error loss function and gamma distribution as priors and hyperpriors. The possibilities of using the methodology in more general situations like dose- response modeling have also been explored. Bayesian estimators derived in this paper are applied to lung cancer data set with concomitant variables.
作者 Dinesh Kumar
机构地区 不详
出处 《Journal of Biomedical Science and Engineering》 2010年第7期711-718,共8页 生物医学工程(英文)
关键词 BAYES ESTIMATOR BAYESIAN Posterior DENSITY Gamma Prior DENSITY (GPD) HIERARCHICAL BAYES ESTIMATOR Hyperprior Noninformative Prior Quasi-Density (NPQD) Progressive Censoring Squared Error Loss FUNCTION (SELF) Whittaker FUNCTION W s1 s2 (.). Bayes Estimator Bayesian Posterior Density Gamma Prior Density (GPD) Hierarchical Bayes Estimator Hyperprior Noninformative Prior Quasi-Density (NPQD) Progressive Censoring Squared Error Loss Function (SELF) Whittaker Function W s1 s2 (.).
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