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December, 1964 The Bayesian Analysis of Contingency Tables
Dennis V. Lindley
Ann. Math. Statist. 35(4): 1622-1643 (December, 1964). DOI: 10.1214/aoms/1177700386


This paper describes how data from a multinomial distribution, and in particular data in the form of a contingency table, may be studied by using a prior distribution of the parameters and expressing the results in the form of a posterior distribution, or some aspects thereof, of the parameters. The analysis used must depend on the prior distribution and the form described here only applies to a certain type of prior knowledge but, for reasons given below, it is believed that this type is of frequent occurrence. The binomial situation is first considered and the results obtained there suggest a general result for the multinomial distribution, which is then established. A few remarks on Bayesian analysis in general enable the result to be applied, first to certain multinomial problems and then, with the aid of another general result, to contingency tables. The method used there has close connections with the Analysis of Variance and these connections are examined, particularly with a view to simplifying the analysis of contingency tables involving three or more factors.


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Dennis V. Lindley. "The Bayesian Analysis of Contingency Tables." Ann. Math. Statist. 35 (4) 1622 - 1643, December, 1964.


Published: December, 1964
First available in Project Euclid: 27 April 2007

zbMATH: 0134.37101
MathSciNet: MR166885
Digital Object Identifier: 10.1214/aoms/1177700386

Rights: Copyright © 1964 Institute of Mathematical Statistics

Vol.35 • No. 4 • December, 1964
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