非平衡单层套设计中组间方差分量的置信区间

Confidence Intervals on the Among-group Variance Component in the Unbalanced One-fold Nested Design

研究了非平衡单层套设计中组间方差分量的区间估计问题,利用广义置信区间的概念,建立了精确置信区间,证明了频率性质和不变性,模拟结果说明其在覆盖概率和区间长度方面优于文献中的已有方法。

This paper focused on the interval estimation of the among-group variance component in the unbalanced one-fold nested design. By using the concept of generalized confidence interval, the exact confidence intervals were obtained and their frequency properties and invariance were shown. The simulation results show that the proposed methods perform better than the existing methods in the coverage probability and expected length.