Interval estimation of parameters in an unbalanced mixed two-fold nested classification-the last-stage uniformity case

Abstract

A procedure for the construction of exact simultaneous confidence intervals on functions of the fixed-effects parameters and on functions of variance components in an unbalanced, mixed, two-fold nested classification is introduced. The type of model considered in this paper enables the construction of such intervals to be based on the corresponding ANOVA table using its mean square ratios.

Keywords:

• confidence interval
• functions of the fixed-effects parameters
• functions of variance components