TY  - JOUR
TI  - Comparison of the performances of parametric k-sample test procedures as an alternative to one-way analysis of variance
AB  - 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.
AU  - OCAKOGLU, Gokhan
AU  - MACUNLUOĞLU, Aslı Ceren
DO  - 10.18621/eurj.1030038
PY  - 2023
JO  - The European Research Journal
VL  - 9
IS  - 1
SN  - 2149-3189
SP  - 39
EP  - 48
DB  - TRDizin
UR  - http://search/yayin/detay/1151005
ER  -