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复杂模型建模：Gibbs 抽样在医学中的应用AI 解读

SUMMARY We review applications of Gibbs sampling in medicine, involving longitudinal, spatial, covariate measurement and survival models. Applications in immunology, pharmacology, transplantation, cancer screening, industrial epidemiology and genetic epidemiology are discussed.

分布形状的诊断检验AI 解读

Summary Many statistical procedures are, strictly speaking, only appropriate when a simplifying assumption about the shape of an error distribution is made, and such an assumption may need to be checked against departures in specific parametric directions. A number of ‘diagnostic’ test procedures are summarized in which location and scale may be unknown, and examples are given in the context of testing for an exponential or Gaussian shape. Approximate efficient scores are…

分布形状的诊断检验AI 解读

Summary Many statistical procedures are, strictly speaking, only appropriate when a simplifying assumption about the shape of an error distribution is made, and such an assumption may need to be checked against departures in specific parametric directions. A number of ‘diagnostic’ test procedures are summarized in which location and scale may be unknown, and examples are given in the context of testing for an exponential or Gaussian shape. Approximate efficient scores are…

模糊先验信息下线性与对数线性模型的贝叶斯因子AI 解读

Summary The Bayes factor, or integrated likelihood ratio, provides a possible Bayesian alternative to the standard F ‐test procedure for comparing two linear models. However, if vague prior information for the model parameters is represented by limiting improper prior forms, it is well known that the resulting Bayes factor involves an arbitrary, unspecified constant, and is thus not well defined. A method of assigning this constant is proposed and illustrated for a number of…

线性模型的贝叶斯因子与选择准则AI 解读

Summary Global and local Bayes factors are defined and their respective roles examined as choice criteria among alternative linear models. The global Bayes factor is seen to function, in appropriate contexts, as a fully automatic Occam's razor and to be closely related to the Schwarz model choice criterion. The local Bayes factor is shown to have a close relationship with the Akaike Information Criterion.

面向小样本的综合正态性检验AI 解读

An extension of the test statistic of Spiegelhalter (1977) is investigated. The Bayesian background to the test is discussed, and numerical examples display the adaptive nature of the statistic. A small simulation study indicates good power properties against all alternatives for n = 20, and symmetric alternatives for n = 50.

针对对称备择的正态性检验AI 解读

A tractable location and scale invariant test for normality against all symmetric alternatives is proposed. The test statistic closely approximates a combination of two traditional test statistics, and is shown to have a Bayesian interpretation. A simulation study shows that the test compares favourably with a number of other recently proposed tests.

针对对称备择的正态性检验AI 解读

A tractable location and scale invariant test for normality against all symmetric alternatives is proposed. The test statistic closely approximates a combination of two traditional test statistics, and is shown to have a Bayesian interpretation. A simulation study shows that the test compares favourably with a number of other recently proposed tests.