- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 1
- Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model
Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model
Authors : Sevgi Demircioğlu, Bilgehan Güven
Pages : 23-36
Doi:10.31801/cfsuasmas.467319
View : 8 | Download : 3
Publication Date : 2020-06-30
Article Type : Research
Abstract :The approximate test for testing the signicance of the random effect is presented in the unbalanced one-way random model in which both random effects and errors are from non-normal universes. The test is based on the asymptotic distribution of the F-statistic. Under the condition that the number of groups tends to infinity while the average of powers of the group sizes is bounded, the asymptotic dis tribution of the F-statistic is obtained. Robustness of the proposed test is given.Keywords : Asymptotic normality, F-test, robustness of the approximate F-test, rondom effects