Accession Number : AD0639163

Title :   POWER OF THE F-TEST FOR NONNORMAL DISTRIBUTIONS AND UNEQUAL ERROR VARIANCES.

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Donaldson,T. S.

Report Date : SEP 1966

Pagination or Media Count : 65

Abstract : An empirical investigation was made of the power of the F-test when the underlying distribution is nonnormal and the within-cell variances are not homogeneous. It is shown that even for small samples the analysis-of-variance F-test is valid, although the usual assumptions of normal distribution and homogeneous error variances are seriously violated. The test is shown to be valid for both Type I and Type II error. An analysis of the correlation between the numerator and denominator of the null hypothesis F-ratio demonstrates that the distribution of F is little affected by the shape of the underlying distribution. (Author)

Descriptors :   (*STATISTICAL TESTS, *ANALYSIS OF VARIANCE), (*LOGISTICS, MAINTENANCE), COMPUTER PROGRAMMING, STATISTICAL DISTRIBUTIONS, ERRORS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE