Inference for One-Way ANOVA with Equicorrelation Error Structure
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 tes...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/341617 |
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| _version_ | 1832558781310959616 |
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| author | Weiyan Mu Xiaojing Wang |
| author_facet | Weiyan Mu Xiaojing Wang |
| author_sort | Weiyan Mu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-22e5290f036a4a2a869fb3d7dcee9d85 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-22e5290f036a4a2a869fb3d7dcee9d852025-02-03T01:31:30ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/341617341617Inference for One-Way ANOVA with Equicorrelation Error StructureWeiyan Mu0Xiaojing Wang1School of Sciences, Beijing University of Civil Engineering and Architecture, Beijing 100081, ChinaSchool of Sciences, Beijing University of Civil Engineering and Architecture, Beijing 100081, ChinaWe 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.http://dx.doi.org/10.1155/2014/341617 |
| spellingShingle | Weiyan Mu Xiaojing Wang Inference for One-Way ANOVA with Equicorrelation Error Structure The Scientific World Journal |
| title | Inference for One-Way ANOVA with Equicorrelation Error Structure |
| title_full | Inference for One-Way ANOVA with Equicorrelation Error Structure |
| title_fullStr | Inference for One-Way ANOVA with Equicorrelation Error Structure |
| title_full_unstemmed | Inference for One-Way ANOVA with Equicorrelation Error Structure |
| title_short | Inference for One-Way ANOVA with Equicorrelation Error Structure |
| title_sort | inference for one way anova with equicorrelation error structure |
| url | http://dx.doi.org/10.1155/2014/341617 |
| work_keys_str_mv | AT weiyanmu inferenceforonewayanovawithequicorrelationerrorstructure AT xiaojingwang inferenceforonewayanovawithequicorrelationerrorstructure |