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