Inference for One-Way ANOVA with Equicorrelation Error Structure
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-19
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We consider inferences in a one-way ANOVA model with equicorrelation error structures.
Hypotheses of the equality of the means are discussed.
A generalized F -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 F -test.
It can be seen from the simulation results that the generalized F -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.
American Psychological Association (APA)
Mu, Weiyan& Wang, Xiaojing. 2014. Inference for One-Way ANOVA with Equicorrelation Error Structure. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1049251
Modern Language Association (MLA)
Mu, Weiyan& Wang, Xiaojing. Inference for One-Way ANOVA with Equicorrelation Error Structure. The Scientific World Journal No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1049251
American Medical Association (AMA)
Mu, Weiyan& Wang, Xiaojing. Inference for One-Way ANOVA with Equicorrelation Error Structure. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1049251
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049251