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Int. J. Environ. Res. Public Health 2016, 13(10), 953; doi:10.3390/ijerph13100953

Empirical Likelihood-Based ANOVA for Trimmed Means

1
Department of Mathematics, Faculty of Physics and Mathematics, University of Latvia, Riga LV-1002, Latvia
2
Department of Law, Economics, Management and Quantitative Methods, University of Sannio, Benevento 82100, Italy
3
Department of Biostatistics, Bioinformatics and Biomathematics, Georgetown University, Washington, DC 20057, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Igor Burstyn
Received: 17 May 2016 / Revised: 15 September 2016 / Accepted: 20 September 2016 / Published: 27 September 2016
(This article belongs to the Special Issue Methodological Innovations and Reflections-1)
View Full-Text   |   Download PDF [306 KB, uploaded 27 September 2016]

Abstract

In this paper, we introduce an alternative to Yuen’s test for the comparison of several population trimmed means. This nonparametric ANOVA type test is based on the empirical likelihood (EL) approach and extends the results for one population trimmed mean from Qin and Tsao (2002). The results of our simulation study indicate that for skewed distributions, with and without variance heterogeneity, Yuen’s test performs better than the new EL ANOVA test for trimmed means with respect to control over the probability of a type I error. This finding is in contrast with our simulation results for the comparison of means, where the EL ANOVA test for means performs better than Welch’s heteroscedastic F test. The analysis of a real data example illustrates the use of Yuen’s test and the new EL ANOVA test for trimmed means for different trimming levels. Based on the results of our study, we recommend the use of Yuen’s test for situations involving the comparison of population trimmed means between groups of interest. View Full-Text
Keywords: ANOVA; empirical likelihood; trimmed means; robust statistics; hypothesis testing ANOVA; empirical likelihood; trimmed means; robust statistics; hypothesis testing
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Velina, M.; Valeinis, J.; Greco, L.; Luta, G. Empirical Likelihood-Based ANOVA for Trimmed Means. Int. J. Environ. Res. Public Health 2016, 13, 953.

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