@article{article_1030038, title={Comparison of the performances of parametric k-sample test procedures as an alternative to one-way analysis of variance}, journal={The European Research Journal}, volume={9}, pages={39–48}, year={2023}, DOI={10.18621/eurj.1030038}, author={Ocakoğlu, Gökhan and Macunluoglu, Aslı Ceren}, keywords={Analysis of variance, conformity of normal distribution, parametric k-sample tests}, abstract={<p> <b>Objectives: </b>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. </p> <p> <b>
Methods: </b> 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. </p> <p> <b>
Results: </b> 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. </p> <p> <b>
Conclusions: </b> 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. </p>}, number={1}, publisher={Prusa Medical Publishing}