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引用本文:赵静,王松桂,王磊. ���������ع�ģ���з�������ľ�ȷ����[J]. 应用概率统计, 2014, 30(1): 31-39
作者姓名:赵静  王松桂  王磊
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摘    要:本文利用广义p-值和广义置信区间的概念构造含有三个随机效应的套误差分量模型中方差分量的几种新的精确检验和置信区间,并讨论它们在尺度变换下的不变性. 模拟结果表明,基于广义p-值的检验很好地控制了犯第一类错误的概率.

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Exact Tests of Variance Components in Nested Error Component Regression Model
Zhao Jing,Wang Songgui,Wang Lei. Exact Tests of Variance Components in Nested Error Component Regression Model[J]. Chinese Journal of Applied Probability and Statisties, 2014, 30(1): 31-39
Authors:Zhao Jing  Wang Songgui  Wang Lei
Affiliation:College of Applied Sciences, Beijing University of Technology; Department of Mathematics and Information Science, Binzhou University
Abstract:In this paper, some new exact tests andconfidence intervals of variance components in nested errorcomponent regression model with three random effects are developedby using generalized p-value and generalized confidence interval.Invariance of these tests and confidence intervals under scaletransformation is also discussed. It is showed that the generalizedp-value is feasible and effective to resolve the hypothesistesting problems with nuisance parameters. A simulation study isconducted to illustrate the powers of these tests and coverageprobabilities.
Keywords:
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