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Bayesian Inference Regarding Independence in Two-Way Contingency Tables Having Intrinsic Priors
Bayesian Inference Regarding Independence in Two-Way Contingency Tables Having Intrinsic Priors
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机译:关于具有先验先验的两向列联表中的独立性的贝叶斯推论
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摘要
Estimating a Bayes factor is provided. Table dimensions of a contingency table are determined. A statistical model type to apply to the contingency table is determined. Fixed marginal totals are specified for either rows or columns when a Multinomial sampling model is applied. A table total is computed when a Poisson sampling model is applied or fixed marginal totals are computed when the Multinomial sampling model is applied to a two by two contingency table. The table total is compared to a first threshold when the Poisson sampling model is applied or fixed marginal totals are compared to a second threshold when the Multinomial sampling model is applied to a two by two contingency table. An estimation method is selected to apply to the contingency table to compute the Bayes factor based on table dimensions, sampling model applied, and fixed marginal totals of the contingency table.
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机译:提供了估计贝叶斯因子。确定列联表的表尺寸。确定要应用于列联表的统计模型类型。应用多项抽样模型时,将为行或列指定固定的边际总计。当应用泊松采样模型时,将计算表总计;当将多项采样模型应用于2 x 2列联表时,将计算固定表边。当应用泊松采样模型时,将表的总和与第一阈值进行比较;当将多项采样模型应用于二乘二的权变表时,将表的总边缘与第二阈值进行比较。选择一种估计方法以应用于列联表,以基于表的大小,所应用的采样模型以及列联表的固定边际总数来计算贝叶斯因子。
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