Comparison of the performances of parametric k-sample test procedures as an alternative to one-way analysis of variance

Gökhan Ocakoğlu; Aslı Ceren Macunluoglu

Makale detayları

Comparison of the performances of parametric k-sample test procedures as an alternative to one-way analysis of variance

Yazarlar:

Gökhan Ocakoğlu | Aslı Ceren Macunluoglu

Yayıncı:

Prusa Medical Publishing

Ana Başlıklar:

Clinical Sciences

Dergi:

The European Research Journal Vol.9 Issue 1, pp.39-48

Belge Tipi:

Makale

Yayın Tarihi:

4/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001281599

pISSN:

2149-3189

Anahtar kelimeler:

Özet:

 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.

 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.

 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.

 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.

Makale detayları

Comparison of the performances of parametric k-sample test procedures as an alternative to one-way analysis of variance

Yazarlar:

Gökhan Ocakoğlu | Aslı Ceren Macunluoglu

Yayıncı:

Prusa Medical Publishing

Ana Başlıklar:

Clinical Sciences

Dergi:

The European Research Journal Vol.9 Issue 1, pp.39-48

Belge Tipi:

Makale

Yayın Tarihi:

4/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001281599

pISSN:

2149-3189

Analysis of variance

conformity of normal distribution

parametric k-sample tests

Sayı

Makale detayları

Comparison of the performances of parametric k-sample test procedures as an alternative to one-way analysis of variance

Yazarlar: Gökhan Ocakoğlu | Aslı Ceren Macunluoglu

Yayıncı: Prusa Medical Publishing

Ana Başlıklar: Clinical Sciences

Dergi: The European Research Journal Vol.9 Issue 1, pp.39-48

Belge Tipi: Makale

Yayın Tarihi: 4/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001281599

pISSN: 2149-3189

Analysis of variance

conformity of normal distribution

parametric k-sample tests

Sayı

Yazarlar:

Gökhan Ocakoğlu | Aslı Ceren Macunluoglu

Yayıncı:

Prusa Medical Publishing

Ana Başlıklar:

Clinical Sciences

Dergi:

The European Research Journal Vol.9 Issue 1, pp.39-48

Belge Tipi:

Makale

Yayın Tarihi:

4/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001281599

pISSN:

2149-3189