Bayesian tests of extra-binomial variability. Statistics in Medicine

University of Taipei > 理學院 > 數學系(含數學教育碩士班) > 期刊論文 > Item 987654321/2697

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题名:	Bayesian tests of extra-binomial variability. Statistics in Medicine
作者:	Hsiao Chuhsing Kate Lee Mei-hsien Kass Robert E 李美賢蕭朱杏
贡献者:	臺北市立教育大學數學資訊教育學系
日期:	2005
上传时间:	2009-08-04 10:58:40 (UTC+8)
摘要:	A simple model for extra-Binomial variability is the Beta-Binomial. A complication in testing the Binomial against the Beta-Binomial alternative is that the Binomial lies on the boundary of the Beta-Binomial, which forces modifications to the usual asymptotic arguments. In this paper, we propose a Bayesian test using a pair of approximate Bayes factors, one for the case in which the maximum likelihood estimator (MLE) of the extra-Binomial variability is zero and one for the case in which it is positive. These approximate Bayes factors are easy to compute. We evaluate the operating characteristics of the Bayes factors and find them to be more powerful than the likelihood ratio test. We then apply the method to three data sets, including one in which the issue is whether a logistic regression intercept should be considered a random effect. In each case, our approximate Bayes factors are close to the exact Bayes factors, which may also be computed with additional effort.
關聯:	BIOMED EXPERTS, 24(1), P.49-64.
显示于类别:	[數學系(含數學教育碩士班)] 期刊論文

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