Accession Number : ADA186705

Title :   An Application of Fuzzy Set Theory to Statistical Hypothesis Testing.

Descriptive Note : Technical rept.,

Corporate Author : ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s) : Baker, William E

PDF Url : ADA186705

Report Date : Jun 1987

Pagination or Media Count : 28

Abstract : In many instances the data used in statistical hypothesis testing may be vague or imprecise and, as such, may suggest results that are incorrect. Rank tests, in particular, seem susceptible, since the original data, once ranked, have no further influence on the testing procedure no matter how closely they are grouped. A possible solution is to treat the ranks as fuzzy integers represented by membership functions that indicate the degree to which each rank assumes each integer value. In this paper, a method is suggested for obtaining these membership functions; and the concept is incorporated into an existing rank test. An application of this fuzzy hypothesis testing procedure is provided. Keywords: Fuzzy ranking; Probability; Permutations; Kill probabilities.

Descriptors :   *HYPOTHESES, *SET THEORY, *STATISTICAL TESTS, KILL PROBABILITIES, NUMBERS, PERMUTATIONS, TABLES(DATA), STATISTICAL DATA, RANK ORDER STATISTICS, RANKING, TEST AND EVALUATION

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE