- The European Research Journal
- Vol: 9 Issue: 1
- Comparison of the performances of parametric k-sample test procedures as an alternative to one-way a...
Comparison of the performances of parametric k-sample test procedures as an alternative to one-way analysis of variance
Authors : Gökhan Ocakoğlu, Aslı Ceren Macunluoglu
Pages : 39-48
Doi:10.18621/eurj.1030038
View : 16 | Download : 7
Publication Date : 2023-01-04
Article Type : Research
Abstract :Objectives: The performances of the Welch test, the Alexander-Govern test, the Brown-Forsythe test and the James Second-Order test, which are among the parametric alternatives of one-way analysis of variance and included in the literature, to protect the Type-I error probability determined at the beginning of the trial at a nominal level, were compared with the F test. Methods: Performance of the tests to protect Type-I error; in cases where the variances are homogeneous and heterogeneous, the sample sizes are balanced and unbalanced, the distribution of the data is in accordance with the normal distribution and the log-normal distribution, how it is affected by the change in the number of groups to be compared has been examined on simulation scenarios. Results: The Welch test, the Alexander-Govern test and the James Second-Order test were not affected by the distribution and performed well in situations where variances were heterogeneous. The Brown-Forsythe test was not affected by the distribution, it performed well when the variance was homogeneous and the sample size in the groups to be compared was not equal. Conclusions: The Welch test, the Alexander-Govern test and the James Second-Order test are the tests that can be recommended as an alternative to the F test.Keywords : Analysis of variance, conformity of normal distribution, parametric k-sample tests