Collected Papers III: Design of Experiments (Springer Collected Works in Mathematics)

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January 15, 2023 | History

Collected Papers III: Design of Experiments (Springer Collected Works in Mathematics)

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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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Publisher
Springer
Pages
718

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Cover of: Collected Papers III: Design of Experiments (Springer Collected Works in Mathematics)
Cover of: Collected Papers III
Collected Papers III: Design of Experiments
Feb 29, 2012, Springer
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Book Details


Classifications

Library of Congress
HB71-74

ID Numbers

Open Library
OL26819215M
ISBN 10
1493934988
ISBN 13
9781493934980

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
January 15, 2023 Edited by ImportBot import existing book
December 29, 2021 Edited by ImportBot import existing book
September 13, 2020 Edited by Tom Morris merge authors
March 29, 2019 Created by ImportBot Imported from amazon.com record