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

Authors : Gamze GUVEN

Pages : 1736-1751

Doi:10.15672/hujms.1055277

View : 32 | Download : 8

Publication Date : 2022-12-01

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values(ANOVA);. Modified maximum likelihood insert ignore into journalissuearticles values(MML); estimators are used in the proposed tests. In contrast to least squares insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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.
Keywords : One way ANOVA, short tailed symmetric distribution, fiducial based test, generalized F test, modified maximum likelihood, Monte Carlo simulation