Optical Design of Experiment (Wiley Series in Probability and Statistics)

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9780471619710: Optical Design of Experiment (Wiley Series in Probability and Statistics)
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Devoted to a unified optimality theory, merging three otherwise distinct mathematical disciplines to embrace an astonishingly wide variety of design problems. Outlines typical settings, namely D-, A-, and E-optimal, polynominal regression designs, Bayesian designs, structures for model discrimination, balanced incomplete block arrangements or rotatable response surface designs. The design problems stem from statistics but are solved using special tools from linear algebra and convex analysis.

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Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. Since the book's initial publication in 1993, readers have used its methods to derive optimal designs on the circle, optimal mixture designs, and optimal designs in other statistical models.

Synopsis:

This volume provides a complete treatment of the optimality theory of experimental designs in linear models, covering a large range of design problems that originate in statistics. The author discusses the formulation of the design problem and applies results to real situations.

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9780898716047: Optimal Design of Experiments (Classics in Applied Mathematics)

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ISBN 10: 0898716047 ISBN 13: 9780898716047
Publisher: Society for Industrial and Appli..., 2006
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