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):
Report Date:
1972-09-15
Pagination or Media Count:
23.0
Abstract:
The investigation is concerned with the accuracy of the large-sample approximations to the distributions of Friedmans statistic for the analysis of variance, and Steels 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:
Subject Categories:
- Statistics and Probability