Pig data and Bayesian inference on multinomial probabilities.


Authors: 
Kern II, J. C.
Editors: 
Stephenson, W. R.
Category: 
Volume: 
14(3)
Year: 
2006
Publisher: 
Journal of Statistics Education.
URL: 
http://www.amstat.org/publications/jse/v14n3/datasets.kern.html
Abstract: 

Bayesian inference on multinomial probabilities is conducted based on data collected from the game Pass the Pigs®. 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.

The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education