摘要
In this paper,using the Bootstrap approach and generalized approach,the authors consider the one-sided hypothesis testing problems for variance component functions in the two-way random effects model.Firstly,the test statistics and confidence intervals for the sum of variance components are constructed.Next,the one-sided hypothesis testing problems for the ratio of variance components are also discussed.The Monte Carlo simulation results indicate that the Bootstrap approach is better than the generalized approach in most cases.Finally,the above approaches are applied to the real data examples of mice blood p H and molded plastic part’s dimensions.
基金
Zhejiang Provincial Natural Science Foundation of China under Grant No.LY20A010019
Ministry of Education of China
Humanities and Social Science Projects under Grant No.19YJA910006
Fundamental Research Funds for the Provincial Universities of Zhejiang under Grant No.GK199900299012-204
Zhejiang Provincial Philosophy and Social Science Planning Zhijiang Youth Project of China under Grant No.16ZJQN017YB
Zhejiang Provincial Statistical Science Research Base Project of China under Grant No.19TJJD08
Scientific Research and Innovation Foundation of Hangzhou Dianzi University under Grant No.CXJJ2019008。
