Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume: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 DEMİRCİOĞLU, Bilgehan GÜVEN

Pages : 23-36

Doi:10.31801/cfsuasmas.467319

View : 39 | Download : 8

Publication Date : 2020-06-30

Article Type : Research Paper

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

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