Optimum Experimental Designs

1959/07/01 by J. Kiefer · 7 citations
Computer Science · Decision Sciences · #Advanced Multi-Objective Optimization Algorithms #Optimal Experimental Design Methods #Simulation Techniques and Applications

paper · doi:10.1111/j.2517-6161.1959.tb00338.x

openalex publication_date 1959/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

Summary After some introductory remarks, we discuss certain basic considerations such as the nonoptimality of the classical symmetric (balanced) designs for hypothesis testing, the optimality of designs invariant under an appropriate group of transformations, etc. In section 3 we discuss complete classes of designs, while in section 4 we consider methods for verifying that designs satisfy certain specific optimality criteria, or for computing designs which satisfy such criteria. Some of the results are new, while part of the paper reviews pertinent results of the author and others.

Citations

• Invariance, Minimax Sequential Estimation, and Continuous Time Processes
• A Stochastic Approximation Method
• THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS
• Stochastic Estimation of the Maximum of a Regression Function

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