Accession Number : AD0721226

Title :   A Comparison of the Exact and Approximate Power of the Chi-Square Goodness-of-Fit Test.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Wright,Brian Theodore

Report Date : MAR 1971

Pagination or Media Count : 70

Abstract : The thesis presents a numerical comparison of the exact and approximate powers of the chi-square goodness-of-fit test for small numbers of classes and small sample sizes for the equiprobable null hypothesis. The comparison was performed using an IBM 360 computer and the computational details are presented within the thesis. In addition a comparison of critical points was conducted for the chi-square distribution and the associated exact, (multinomial), distribution. The results of the power comparisons show that the approximate power is surprisingly good and is recommended as an efficient method for determining type two error associated with the test. Further, use of the chi-square distribution for determining a critical point is reinforced through the numerical comparison of significance levels. (Author)

Descriptors :   (*STATISTICAL TESTS, POWER), STATISTICAL DISTRIBUTIONS, NUMERICAL ANALYSIS, COMPUTER PROGRAMS, SAMPLING, TABLES(DATA), THESES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE