Accession Number : AD0622997

Title :   SOME BAYESIAN METHODS RELATED TO CHI-SQUARE.

Descriptive Note : Technical rept.,

Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS

Personal Author(s) : Watson,G. S.

Report Date : SEP 1965

Pagination or Media Count : 23

Abstract : Monte-Carlo studies are made to determine when the chi-square statistic (using the sample or a modified sample) leads to an accurate Bayesian confidence region for the class probabilities in a multinomial - accurate only in the sense of posterior probability content, not shape. The exact distribution of the likelihood ratio statistic is given so that regions, exact in shape and content, can be obtained. Special methods for cases where there are mixed-up and missing classes are also given. (Author)

Descriptors :   (*STATISTICAL TESTS, DECISION THEORY), SAMPLING, PROBABILITY, DISTRIBUTION THEORY, ANALYSIS OF VARIANCE, MONTE CARLO METHOD

Distribution Statement : APPROVED FOR PUBLIC RELEASE