APPROXIMATE TEST FOR TESTING A NULL VARIANCE RATIO IN THE UNBALANCED ONE-WAY RANDOM MODEL

被引：0

作者：

Demircioglu, Sevgi ^{[1
]}

Guven, Bilgehan ^{[1
]}

机构：

[1] Canakkale Onsekiz Mart Univ, Dept Math, Canakkale, Turkey

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2020年 / 69卷 / 01期

关键词：

Asymptotic normality; F-test; robustness of the approximate F-test; random effects;

D O I：

10.31801/cfsuasmas.467319

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The approximate test for testing the significance of the random effect is presented in the unbalanced one-way random model in which both random effects and errors are from nonnormal universes. The test is based on the asymptotic distribution of the F-ratio. Under the condition that the number of groups tends to infinity while the average of powers of the group sizes is bounded, the asymptotic distribution of the F statistic is obtained. Robustness of the proposed test is given.

引用

页码：23 / 36

页数：14

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