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A bayesian approach to prediction in analysis of variance settings
Authors:GJack Gambino  I Guttman
Institution:1. Statistics Canada , Ottawa, Ontario, Canada;2. University of Toronto , Toronto, Ontario, Canada
Abstract:This paper takes the results of Lindley and smith ( 1972 ) one step further, by finding the predictive distribution of an observation y* whose distribution is normal, and centred at A* 1θ1 We then apply this distribution to the case of prediction based on data obtained in one and two wau ANOVA situations. For Example, it turns out that for two way ANOVA with interaction, the predictive mean, (which we would use as the predictor) is a weighted combination of sample main effects and interaction effects
Keywords:Lindley-Smith theorem  one and two-way ANOVA models  Posterior distribution  Predictive distribution
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