Inference for One-Way ANOVA with Equicorrelation Error StructureReport as inadecuate




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The Scientific World Journal - Volume 2014 2014, Article ID 341617, 6 pages -

Research ArticleSchool of Sciences, Beijing University of Civil Engineering and Architecture, Beijing 100081, China

Received 27 February 2014; Revised 1 June 2014; Accepted 9 June 2014; Published 19 June 2014

Academic Editor: Nadia Minicuci

Copyright © 2014 Weiyan Mu and Xiaojing Wang. 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.

Abstract

We consider inferences in a one-way ANOVA model with equicorrelation error structures. Hypotheses of the equality of the means are discussed. A generalized -test has been proposed by in the literature to compare the means of all populations. However, they did not discuss the performance of that test. We propose two methods, a generalized pivotal quantities-based method and a parametric bootstrap method, to test the hypotheses of equality of the means. We compare the empirical performance of the proposed tests with the generalized -test. It can be seen from the simulation results that the generalized -test does not perform well in terms of Type I error rate, and the proposed tests perform much better. We also provide corresponding simultaneous confidence intervals for all pair-wise differences of the means, whose coverage probabilities are close to the confidence level.





Author: Weiyan Mu and Xiaojing Wang

Source: https://www.hindawi.com/



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