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

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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 12 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 12 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 12 based on n independent trials from a binomial distribution. Author

Author(s):
Walsh, John E.
Author Organization(s):
SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS
Descriptive Note:
Technical rept.,
Supplementary Note:
Report on Themis Signal Analysis Statistics Research Program.
Pagination:
0007

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
THEMIS-SMU-TR-90
Contract/Grant Number(s):
N00014-68-A-0515, NGR-44-007-028
Project Number(s):
NR-042-260
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*STATISTICAL TESTS, STOCHASTIC PROCESSES), STATISTICAL DISTRIBUTIONS, RANDOM VARIABLES
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
*BINOMIAL DENSITY FUNCTIONS, RANDOM PROCESSES
Report Date:
1970 Dec 14