Some Statistical Inference Problems in Linear Models and Variance Components Models and Their Applications.

摘要

The proposal dealt with several statistical inference problems in the context of univariate and multivariate linear models having effects, i.e., fixed effects as well as random effects. Most of the articles that were completed under the grant are on the following topics: (1) improved nonnegative estimation of variance components. (2) exact and/or optimum tests for the fixed effects. and (3) exact and/or optimum tests for variance components. The results have the potential for applications in all areas where the mixed model methodology is used and the applications are highlighted in in most of the articles that were written based on the problems in the proposal.