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Activity Number: 290
Type: Contributed
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Education
Abstract - #310105
Title: Pig Data and Bayesian Inference on Multinomial Probabilities
Author(s): John Kern*+
Companies: Duquesne University
Address: 600 Forbes Avenue, Pittsburgh, PA, 15282,
Keywords: multinomial ; Dirichlet ; posterior predictive distribution
Abstract:

Bayesian inference on multinomial probabilities is conducted based on data collected from the game Pass the PigsĀ®. Prior information on these probabilities is readily available from the instruction manual, and is easily incorporated in a Dirichlet prior. Posterior analysis of the scoring probabilities quantifies the discrepancy between empirical and prior estimates, and yields posterior predictive simulations used to compare competing extreme strategies.


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Revised September, 2007