Accession Number : AD0717935

Title :   Exact Tests of Binomial p=1/2 When one Binomial Event Possibly Has Different Probability.

Descriptive Note : Technical rept.,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Walsh,John E.

Report Date : 14 DEC 1970

Pagination or Media Count : 7

Abstract : The data are n independent random binomial events, each resulting in success or failure. The event outcomes are believed to be trials from a binomial distribution with success probability p, and tests of p = 1/2 are desired. However, there is the possibility that some unidentified event has a success probability different from the common value p for the other n - 1 events. Then, tests of whether this common p equals 1/2 are desired. Fortunately, two-sided tests can be obtained that simultaneously are applicable for both situations. That is, the significance level for a test is same when one event has a different probability as when all events have the same probability. These tests are the usual equal-tail tests for p = 1/2 (based on n independent trials from a binomial distribution). (Author)

Descriptors :   (*STATISTICAL TESTS, STOCHASTIC PROCESSES), STATISTICAL DISTRIBUTIONS, RANDOM VARIABLES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE