Collected Papers III

Design of Experiments

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September 18, 2021 | History

Collected Papers III

Design of Experiments

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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.

Publish Date
Publisher
Springer
Pages
746

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Edition Availability
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
paperback

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Book Details


Edition Notes

Source title: Collected Papers III: Design of Experiments

Classifications

Library of Congress
HB1-846.8, HB71-74

The Physical Object

Format
paperback
Number of pages
746

ID Numbers

Open Library
OL28262282M
ISBN 10
1461566622
ISBN 13
9781461566625

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September 18, 2021 Edited by ImportBot import existing book
October 10, 2020 Edited by ImportBot import existing book
September 13, 2020 Edited by Tom Morris merge authors
August 3, 2020 Edited by ImportBot import existing book
June 16, 2020 Created by ImportBot Imported from amazon.com record