Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances

Guven, Gamze

doi:10.15672/hujms.1055277

Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances

Gamze Guven (Eskişehir Osmangazi Üniversitesi, İstatistik Bölümü, Eskişehir, Türkiye)

Hacettepe Journal of Mathematics and Statistics

2 2

Yıl: 2022 Cilt: 51 Sayı: 6 Sayfa Aralığı: 1736 - 1751 Metin Dili: İngilizce DOI: 10.15672/hujms.1055277 İndeks Tarihi: 11-04-2023

Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances

Öz:

We propose two tests based on fiducial and generalized p - value approaches for testing the equality of treatment means in one-way analysis of variance (ANOVA). Modified maximum likelihood (MML) estimators are used in the proposed tests. In contrast to least squares (LS) estimators, MML estimators are highly efficient and robust to plausible deviations from an assumed distribution and to mild data anomalies. In this study, error terms are assumed to have short-tailed symmetric (STS) distributions with heterogeneous variances. The performances of the proposed tests are compared with the fiducial based test using bias-corrected LS estimators via an extensive Monte Carlo simulation study. Finally, two real datasets are analyzed for illustrative purposes.

Anahtar Kelime: One-way ANOVA short tailed symmetric distribution fiducial based test generalized F test modified maximum likelihood Monte Carlo simulation

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Guven G (2022). Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. , 1736 - 1751. 10.15672/hujms.1055277
Chicago	Guven Gamze Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. (2022): 1736 - 1751. 10.15672/hujms.1055277
MLA	Guven Gamze Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. , 2022, ss.1736 - 1751. 10.15672/hujms.1055277
AMA	Guven G Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. . 2022; 1736 - 1751. 10.15672/hujms.1055277
Vancouver	Guven G Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. . 2022; 1736 - 1751. 10.15672/hujms.1055277
IEEE	Guven G "Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances." , ss.1736 - 1751, 2022. 10.15672/hujms.1055277
ISNAD	Guven, Gamze. "Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances". (2022), 1736-1751. https://doi.org/10.15672/hujms.1055277

APA	Guven G (2022). Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. Hacettepe Journal of Mathematics and Statistics, 51(6), 1736 - 1751. 10.15672/hujms.1055277
Chicago	Guven Gamze Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. Hacettepe Journal of Mathematics and Statistics 51, no.6 (2022): 1736 - 1751. 10.15672/hujms.1055277
MLA	Guven Gamze Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. Hacettepe Journal of Mathematics and Statistics, vol.51, no.6, 2022, ss.1736 - 1751. 10.15672/hujms.1055277
AMA	Guven G Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. Hacettepe Journal of Mathematics and Statistics. 2022; 51(6): 1736 - 1751. 10.15672/hujms.1055277
Vancouver	Guven G Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances. Hacettepe Journal of Mathematics and Statistics. 2022; 51(6): 1736 - 1751. 10.15672/hujms.1055277
IEEE	Guven G "Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances." Hacettepe Journal of Mathematics and Statistics, 51, ss.1736 - 1751, 2022. 10.15672/hujms.1055277
ISNAD	Guven, Gamze. "Testing the equality of treatment means in one-way ANOVA: Short-tailed symmetric error terms with heterogeneous variances". Hacettepe Journal of Mathematics and Statistics 51/6 (2022), 1736-1751. https://doi.org/10.15672/hujms.1055277