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- W2787742015 abstract "The objective of the research is to compare the ability to control probability of type I error of testing the equality of means from a completely randomized design (CRD) by F test, Welch’s test and Generalized F test when the population variance is heterogeneous. The ability to control probability of type I error is measured by the probability of the number of “reject” when the null hypothesis is true and the percentage of accuracy is measured by the number of “reject” when the alternative hypothesis is true. The data are generated from the fixed effect CRD simulation of normal distributed error population with zero mean and six cases of variance. The sample sizes are and the replication in each case is 1,000. The research results can be summarized as follows. In the cases of homogeneous variance with small variance equal to 1, medium variance equal to 25 and large variance equal to 100, it is found that the F test yields the highest result. In the cases of heterogeneous variance with small variation in variance , medium variation in variance and large variation in variance , it is found that the generalized F test yields the highest result. However, the percentage of accuracy by the F test, Welch’s test and generalized F test are nearly the same and increases as the sample size increases in all cases. Keyword: Completely Randomized Design, Fixed Effect, F test, Welch’s test, Generalized F test" @default.
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- W2787742015 date "2018-01-09" @default.
- W2787742015 modified "2023-09-25" @default.
- W2787742015 title "A Comparison of Tests for Equality of Means under Heterogeneity of Variances in Completely Randomized Design" @default.
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