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.
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页码：23 / 36
页数：14
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