Accession Number : AD0754764

Title :   On the Chi-Square Approximation to the Distribution of Friedman's (Chi square) sub r Statistic.

Descriptive Note : Research rept.,

Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF STATISTICS

Personal Author(s) : Jensen,Donald R.

Report Date : 15 SEP 1972

Pagination or Media Count : 23

Abstract : The investigation is concerned with the accuracy of the large-sample approximations to the distributions of Friedman's statistic for the analysis of variance, and Steel's statistics for comparing r treatments with a single control, in a complete two-way classification scheme. Bounds of the Berry-Esseen type are given for the rates of convergence of these distributions to their limiting normal-theory forms. These bounds in turn support further bounds on the actual type 1 error probabilities in terms of the nominal values. (Author)

Descriptors :   (*ANALYSIS OF VARIANCE, STATISTICAL DISTRIBUTIONS), STATISTICAL TESTS, APPROXIMATION(MATHEMATICS), SAMPLING, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE