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The theory of optimal design of experiments as we know it today is built on asolid foundation developed by Jack Kiefer, who formulated and resolved some of the major problems of data collection via experimentation. A principal ingredient in his formulation was statistical efficiency of a design. Kiefer's theoretical contributions to optimal designs can be broadly classified into several categories: He rigorously defined, developed, and interrelated statistical notions of optimality. He developed powerful tools for verifying and searching for optimal designs; this includes the "averaging technique"... for approximate or exact theory, and "patchwork"... for exact theory... Kiefer and Wolfowitz provided a theorem now known as the Equivalence Theorem. This result has become a classical theorem in the field. One important feature of this theorem is that it provides a measure of how far a given design is from the optimal design. He characterized and constructed families of optimal designs. Some of the celebrated ones are balanced block designs, generalized Youden designs, and weighing designs. He also developed combinatorial structures of these designs.
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Collected Papers III: Design of Experiments (Springer Collected Works in Mathematics)
Dec 17, 2015, Springer
1493934988 9781493934980
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Collected Papers III: Design of Experiments
Feb 29, 2012, Springer
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1461566622 9781461566625
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Source title: Collected Papers III: Design of Experiments
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Feedback?December 29, 2021 | Edited by ImportBot | import existing book |
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