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The aim is to examine how Bayes factors can demonstrate independence in two-way contingency tables.

January 1, 1974Biometrika

Bayes factors for independence in contingency tables

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The aim is to examine how Bayes factors can demonstrate independence in two-way contingency tables.
Consideration of four related statistical sampling models with nested conditioning.
Analysis of prior distributions and their impact on Bayes factors for independence.
Establishment of a general theorem regarding factorized Bayes factors from a factorized likelihood function.
Demonstrated factorization of Bayes factors for independence across different models.
Confirmed weak justification for Fisher's conditioning practice through bounds on marginal Bayes factors.
Provided a theoretical framework supporting the use of factorized likelihood functions.

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Randomized trial examines Bayes factors for independence in contingency tables, suggesting improved statistical modeling techniques.

Günel et al. (1974) studied this question.

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