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For the ANOVA model, we propose a new g-prior based Bayes factor withoutintegral representation, with reasonable model selection consistency for anyasymptotic situations (either number of levels of the factor and/or number ofreplication in each level goes to infinity). Exact analytic calculation of themarginal density under a special choice of the priors enables such a Bayesfactor.

A Bayes factor with reasonable model selection consistency for ANOVA model