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中国科学院大学学报 ›› 2008, Vol. 25 ›› Issue (3): 297-304.DOI: 10.7523/j.issn.2095-6134.2008.3.002

• 论文 • 上一篇    下一篇

混合模型中的广义置信域

牟唯嫣1,熊世峰2   

  1. 1北京理工大学数学系

    2中国科学院数学与系统科学研究院

  • 收稿日期:1900-01-01 修回日期:1900-01-01 发布日期:2008-05-15

Generalized confidence regions in mixed models

Mu Wei-yan, Xiong Shi-feng   

  1. 1Department of Mathematics, Beijing Institute of Technology

    2Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences

  • Received:1900-01-01 Revised:1900-01-01 Published:2008-05-15

摘要: 讨论同方差及异方差下的平衡混合效应模型中的推断。利用推断方法,导出了和该模型中固定效应相关的广义置信域和广义p值。模拟结果表明,该置信域有满意的表现。

关键词: 同方差, 异方差, 混合效应模型, 广义置信域, 广义枢轴量

Abstract:

This paper discusses inferences for the fixed effects of balanced mixed effects models under both homoscedasticity and heteroscedasticity.By the generalized approach to make statistical inference, we derive the generalized confidence regions and the generalized p-values concerning the fixed effects. Simulation studies show that the performances of the confidence regions are satisfactory.

Key words: heteroscedasticity, homoscedasticity, generalized confidence region, generalized pivotal, mixed effects model