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

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE