Restricted one way analysis of variance using the empirical likelihood ratio test |
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Authors: | Wen YuHammou El Barmi Zhiliang Ying |
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Institution: | a Department of Statistics, School of Management, Fudan University, Shanghai 200433, PR Chinab Department of Statistics and Computer Information Systems, Baruch College, The City University of New York, New York, NY 10010, United Statesc Department of Statistics, Columbia University, New York, NY 10027, United States |
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Abstract: | Empirical likelihood (EL) ratio tests are developed for testing for or against the hypothesis that k-population means μ1,μ2,…,μk are isotonic with respect to some quasi-order ? on {1,2,…,k}. The null asymptotic distributions are derived and are shown to be of chi-bar squared type. The asymptotic power of the proposed test for testing for equality of these means against the order restriction is derived under contiguous alternatives and a simulation study is carried out to investigate the finite sample behaviors of this test. In addition, an adjusted EL test is used to improve the small size performance of our test and an example is also discussed to illustrate the theoretical results. |
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Keywords: | 62E20 |
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