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双因素方差分析模型中的广义p-值
Generalized p-Value in Two-Way ANOVA Models
【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.
【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.
【关键词】 双因素ANOVA;
假设检验;
Fiducial推断;
广义枢轴向量;
广义p-值;
【Key words】 two-way ANOVA; hypothesis testing; Fiducial inference; generalized pivotal; generalized p-value;
【Key words】 two-way ANOVA; hypothesis testing; Fiducial inference; generalized pivotal; generalized p-value;
【基金】 国家自然科学基金资助项目(10271013)
- 【文献出处】 北京理工大学学报 ,Transactions of Beijing Institute of Technology , 编辑部邮箱 ,2007年09期
- 【分类号】O212.1
- 【被引频次】5
- 【下载频次】589