A Simple Method for Testing Variance Components in Unbalanced Nested Model

作者：Li Xinmin^*; Wang Juan

来源：Communications in Statistics - Simulation and Computation, 2011, 40(9): 1310-1323.

DOI：10.1080/03610918.2011.569861

• Generalized p value
• Unbalanced nested model
• Unweighted sums of squares
• Variance components

In this article, we consider the unbalanced case of the three fold nested random effects model under partial balance. The distributions of unweighted sums of squares are obtained first. Using the method of generalized p value introduced in Tsui and Weerahandi (1989), a new method is proposed for hypothesis tests involving functions of variance components. To evaluate the sizes of the generalized p value, a simulation study is conducted. The results indicate that the proposed method performs well under all examined conditions.

• 出版日期2011
• 单位山东理工大学