| 双因素方差分析模型中的广义p-值 |
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| 引用本文： | 扈慧敏,徐兴忠. 双因素方差分析模型中的广义p-值[J]. 北京理工大学学报, 2007, 27(9): 843-846 |
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| 作者姓名： | 扈慧敏 徐兴忠 |
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| 作者单位： | 北京理工大学,理学院,北京,100081;北京理工大学,理学院,北京,100081 |
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| 摘 要： | 利用Fiducial方法得到模型中假设检验问题的广义枢轴向量,由此直接定义广义p-值,并证明由此广义p-值所给出的检验在边界上具有频率性质. 在数值模拟中对广义p-值方法与广义F-检验方法作了比较. 模拟结果表明,在异方差时,广义p-值方法优于广义F-检验.
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| 关 键 词： | 双因素ANOVA 假设检验 Fiducial推断 广义枢轴向量 广义p-值 |
| 文章编号： | 1001-0645（2007）09-0843-04 |
| 修稿时间： | 2007-04-12 |
Generalized p-Value in Two-Way ANOVA Models |
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| HU Hui-min and XU Xing-zhong. Generalized p-Value in Two-Way ANOVA Models[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2007, 27(9): 843-846 |
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| Authors: | HU Hui-min and XU Xing-zhong |
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| Affiliation: | School of Science, Beijing Institute XU Xing-zhong of Technology, Beijing 100081, China |
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| Abstract: | Generalized pivotal model is drawn by Fiducial inference,by which the generalized p-value is defined directly.Then the hypotheses testing problem is solved and this test is proved to be valid at the boundary.In simulation,the method of generalized p-value inference is compared with generalized F-test.The results showed,that the method of generalized p-value is better than the generalized F-test in heterogeneous variances cases. |
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| Keywords: | two-way ANOVA hypothesis testing Fiducial inference generalized pivotal generalized p-value |
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