Confidence Intervals on Linear Combinations of Variance Components in the Unbalanced One-Way Classification

Confidence Intervals on Linear Combinations of Variance Components in the Unbalanced One-Way Classification
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DOI:
10.1080/00401706.1984.10487938
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发表时间:
1984-05
期刊:
影响因子:
2.5
通讯作者:
R. Burdick;F. Graybill
R. Burdick;F. Graybill
中科院分区:
工程技术3区
文献类型:
--
作者:
R. Burdick;F. Graybill

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方差分量分析中可能出现的问题是方差分量线性组合的置信区间的估计和构造。本文考虑了不平衡单向分类模型,并开发了一种可用于根据组间和组内方差的线性组合构建置信区间的过程。模拟研究表明,该程序提供了一个区间,在大多数情况下,该区间的置信系数至少与规定的水平一样大。
A problem that can occur in a variance component analysis is the estimation and construction of confidence intervals for linear combinations of the variance components. This article considers the unbalanced one-way classification model and develops a procedure that can be used to construct a confidence interval on a linear combination of the among- and within-group variances. A simulation study suggests that the procedure provides an interval that in most cases has an achieved confidence coefficient at least as great as the stated level.