Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1969 · 138 citations · 8 references
Natural SciencesBiostatisticsMathematicsBayesian Data AnalysisProbability TheoryStatisticsBayesian InferenceBayesian StatisticsContingency Table AnalysisHypothesis TestingInferential StatisticsStatistical InferenceBayesian AnalysisBayesian Hypothesis TestingContingency AnalysisDiscrete Random VariablesExact Tests Of AssociationFisher’s Exact TestPosterior Probability Assessment
Summary A relationship is derived between the posterior probability of negative association of rows and columns of a 2 × 2 contingency table and Fisher's “exact” probability, as given in existing tables for testing the hypothesis of no association of rows and columns. The result for the 2 × 2 table is generalized to provide the posterior probability that one discrete-valued random variable is stochastically larger than another.
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