Overstall Antony M, King Ruth
School of Mathematics & Statistics, University of St Andrews, St Andrews, Fife, KY16 9SS, United Kingdom.
Stat Methodol. 2014 Jan;16(100):90-99. doi: 10.1016/j.stamet.2013.08.007.
A default prior distribution is proposed for the Bayesian analysis of contingency tables. The prior is specified to allow for dependence between levels of the factors. Different dependence structures are considered, including conditional autoregressive and distance correlation structures. To demonstrate the prior distribution, a dataset is considered which involves estimating the number of injecting drug users in the eleven National Health Service board regions of Scotland using an incomplete contingency table where the dependence structure relates to geographical regions.
本文提出了一种用于列联表贝叶斯分析的默认先验分布。该先验分布的设定考虑了因素各水平之间的相关性。文中探讨了不同的相关结构,包括条件自回归结构和距离相关结构。为了说明该先验分布,我们考虑了一个数据集,该数据集涉及使用一个不完整的列联表来估计苏格兰国民健康服务体系11个委员会区域内注射吸毒者的数量,其中相关结构与地理区域有关。