GENERALIZED p-VALUES AND GENERALIZED CONFIDENCE INTERVALS FOR VARIANCE COMPONENTS IN GENERAL RANDOM EFFECT MODEL WITH BALANCED DATA  

作　　者：Rendao YE Songgui WANG 

机构地区：[1]College of Applied Sciences, Beijing University of Technology, Beijing 100022, China

出　　处：《Journal of Systems Science & Complexity》2007年第4期572-584,共13页系统科学与复杂性学报（英文版）

摘　　要：Various random models with balanced data that are relevant for analyzing practical test data are described, along with several hypothesis testing and interval estimation problems concerning variance components. In this paper, we mainly consider these problems in general random effect model with balanced data. Exact tests and confidence intervals for a single variance component corresponding to random effect are developed by using generalized p-values and generalized confidence intervals. The resulting procedures are easy to compute and are applicable to small samples. Exact tests and confidence intervals are also established for comparing the random-effects variance components and the sum of random-effects variance components in two independent general random effect models with balanced data. Furthermore, we investigate the statistical properties of the resulting tests. Finally, some simulation results on the type Ⅰ error probability and power of the proposed test are reported. The simulation results indicate that exact test is extremely satisfactory for controlling type Ⅰ error probability.

关 键 词：Generalized confidence interval generalized p-value variance component. 

分 类 号：C81[社会学—统计学]