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- W2002206389 abstract "One method of testing for independence in a two-way table is based on the Bayes factor, the ratio of the likelihoods under the independence hypothesis H and the alternative hypothesis H. The main difficulty in this approach is the specification of prior distributions on the composite hypotheses H and H. A new Bayesian test statistic is constructed by using a prior distribution on H that is concentrated about the “independence surface” H. Approximations are proposed which simplify the computation of the test statistic. The values of the Bayes factor are compared with values of statistics proposed by Gunel and Dickey (1974), Good and Crook (1987), and Spiegelhalter and Smith (1982) for a number of two-way tables. This investigation suggests a strong relationship between the new statistic and the p-value. Une des méthodes pour tester l'indépendance dans un tableau 2 × 2 est basée sur le facteur de Bayes, c'est-à-dire le rapport des vraisemblances sous l'hypothèse d'indépendance, H, et d'hypothèse alternative H. Suivant cette approche, on doit spécifier des lois a priori sous les hypothèses composées H et H, cela représente une difficulté importante. Un nouveau test bayesien est construit. On utilise une loi a priori sous H qui est concentrée autour de la “surface d'indépendance” H. Des approximations permettant de simplifier le calcul de la statistique sont proposées. Pour divers tableaux 2x2, les valeurs du facteur de Bayes sont comparées aux valeurs de statistiques proposées par Gunel et Dickey (1974), Good et Crook (1987) et Spiegelhalter et Smith (1982). Cette comparaison suggère qu'il y une forte relation entre la nouvelle statistique et la probabilité de dépassement." @default.
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- W2002206389 date "1990-12-01" @default.
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- W2002206389 title "A bayesian test for a two-way contingency table using independence priors" @default.
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- W2002206389 doi "https://doi.org/10.2307/3315841" @default.
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