Confidence Intervals on Sum of Variance Components in Unbalanced Two-Fold Nested Designs with Equal Subsampling

摘要

In the article, we consider the the unbalanced case of the two-way nested designs with equal subsampling. Using the method of generalized confidence intervals introduced in Weeranhandi (1993, 1995), a new method is proposed for constructing confidence intervals on sum of variance components. To compare the resulted intervals with the Modified Large Sample (MLS) intervals by Burdick and Graybill (1985), a simulation study is conducted. The results indicate that the proposed method performs better than the MLS method, especially for very unbalanced designs.