Bayesian posterior odds ratios for frequently encountered hypotheses about parameters of the normal linear multiple regression model are derived and discussed. For the particular prior distributions utilized, it is found that the posterior odds ratios can be well approximated by functions that are monotonic in usual sampling theory F statistics. Some implications of these finding and the relation of our work to the pioneering work of Jeffreys and others are considered. Tabulations of odd ratios...
Discussion on the papers by Brown, Philip J., Aspects of multivariate regression and by Dempster, Arthur P., Bayesian inference in applied statistics, both of them part of a round table on Regression and time series held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
Discussion on the papers by DeGroot, Morris H., Improving predictive distributions and by Press, S. James, Bayesian inference in group judgement formulation and decision making using qualitative controlled feedback, both of them part of a round table on Improving judgements using feedback held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
Discussion on the paper by Barnard, George A., Pivotal inference and the Bayesian controversy, part of a round table on Bayesian and non-Bayesian conditional inference held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
Discussion on the papers by Zellner, Arnold and Siow, Aloysius, Posterior odds ratios for selected regression hypotheses and by Bernardo, José M., A Bayesian analysis of classical hypotheses testing, both of them part of a round table on Hypothesis testing held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
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