Accession Number : ADA190320

Title :   Stopping Rules and Observed Significance Levels.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA UNIV AT CHAPEL HILL CENTER FOR STOCHASTIC PROCESSES

Personal Author(s) : Bather, John

PDF Url : ADA190320

Report Date : Sep 1987

Pagination or Media Count : 14

Abstract : It is well known how to combine the significance levels observed in a number of independent experiments. When this number is a random variable determined by a stopping rule, the observed significance level can still be calculated if there is an acceptable ordering of the points in the extended sample space. But what can be said if the stopping time is ill-defined? This paper obtains explicit lower bounds on the level of significance by considering orderings based on a family of alternative hypotheses. These bounds give some measure of the effect of failing to specify the stopping rule in advance. Keywords: Stochastic processes.

Descriptors :   *STOPPING RULES(MATHEMATICS), *STATISTICAL TESTS, HYPOTHESES, STOCHASTIC PROCESSES, RANDOM VARIABLES, COMPUTATIONS, SEQUENTIAL ANALYSIS, OBSERVATION

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE