Biometrika · 1988 · 15 citations · 0 references
Public HealthBiostatisticsDesign OptimizationExperimental DesignOptimizationFactorial DesignsMultilevel ModelingVariance AnalysisVariance ComponentsMinimum Variance EstimationMulti-level Factorial DesignsOptimal DesignRandom Effects EstimationUnbalanced Design Variance ComponentsVariance Component EstimationVariance Components AnalysisVariance Estimation
The design problem for the estimation of variance components by the method of unweighted squares of means, under a multifactor random effects model, is considered. First it is shown that with the numbers of levels of the factors fixed, a balanced design, if it exists, is optimal. Next the numbers of levels are also treated as decision variables and the derivation of minimax designs is indicated.