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作者:

Ye, Rendao (Ye, Rendao.) | Wang, Songgui (Wang, Songgui.)

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摘要:

Various random models with balanced data that are relevant for analyzing practical test data are described, along with several hypothesis testing and interval estimation problems concerning variance components. In this paper, we mainly consider these problems in general random effect model with balanced data. Exact tests and confidence intervals for a single variance component corresponding to random effect are developed by using generalized p-values and generalized confidence intervals. The resulting procedures are easy to compute and are applicable to small samples. Exact tests and confidence intervals are also established for comparing the random-effects variance components and the sum of random-effects variance components in two independent general random effect models with balanced data. Furthermore, we investigate the statistical properties of the resulting tests. Finally, some simulation results on the type I error probability and power of the proposed test are reported. The simulation results indicate that exact test is extremely satisfactory for controlling type I error probability.

关键词:

generalized confidence interval generalized p-value variance component

作者机构:

  • [ 1 ] [Ye, Rendao]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 2 ] [Wang, Songgui]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

通讯作者信息:

  • [Ye, Rendao]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

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来源 :

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

ISSN: 1009-6124

年份: 2007

期: 4

卷: 20

页码: 572-584

2 . 1 0 0

JCR@2022

ESI学科: MATHEMATICS;

被引次数:

WoS核心集被引频次: 8

SCOPUS被引频次: 9

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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