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Author:

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

Indexed by:

EI Scopus SCIE CSCD

Abstract:

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.

Keyword:

generalized p-value variance component generalized confidence interval

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

ISSN: 1009-6124

Year: 2007

Issue: 4

Volume: 20

Page: 572-584

2 . 1 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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