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.
Analysis of variance conformity of normal distribution parametric k-sample tests
Birincil Dil | İngilizce |
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Konular | Klinik Tıp Bilimleri |
Bölüm | Original Article |
Yazarlar | |
Yayımlanma Tarihi | 4 Ocak 2023 |
Gönderilme Tarihi | 29 Kasım 2021 |
Kabul Tarihi | 8 Ağustos 2022 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 9 Sayı: 1 |