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方差非负线性组合的置信区间AI 解读

Smith (1936) suggested a method that can be used for setting confidence limits on linear combinations of variances. This method was studied and expanded by Satterthwaite (1941, 1946) and has become known as Satterthwaite's procedure. The procedure has been widely used for the past 40 years. In this article a new procedure is proposed for this problem that is better than Satterthwaite's procedure and very easy to compute from existing tables.

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两因素嵌套方差分量模型中变异占比的置信区间AI 解读

In the two-factor nested variance component model with equal numbers in the cells given by y ijk = μ + A i + B ij + C ijk , three important functions of the variance components σA 2, σB 2, and σC 2 are the proportions of the total variation due to factors A, B, and C, which are given by σA 2/(σA 2 + σB 2 + σC 2), σB 2/(σA 2 + σB 2 + σC 2) and σC 2/(σA 2 + σB 2 + σC 2), respectively. There are no exact confidence intervals available for these proportions. In this article…