Güven, BilgehanDemircioğlu, Sevgi2021-11-092021-11-092020-06-30https://doi.org/10.31801/cfsuasmas.467319http://hdl.handle.net/20.500.12575/75968The 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 distribution of the F-statistic is obtained. Robustness of the proposed test is given.enAsymptotic normalityF-testRobustness of the approximate F-testArticle69123362618-6470