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Books > Business & Economics > Economics > Economic theory & philosophy
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Collected Papers III - Design of Experiments (Paperback, 1985 ed.)
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Collected Papers III - Design of Experiments (Paperback, 1985 ed.)
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From the Preface: "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. Kiefer's papers are sometimes difficult. In part
this is due to the precision and care he exercised, which at times
forced a consideration of pathologies and special cases...A reading
of his papers on design is replete with examples of his
scholarship, his innovativeness, ingenuity, and strength as a
researcher."
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