Optimal design of experiments / Friedrich Pukelsheim
Material type:
TextPublication details: New York : John Wiley & Son, Inc., c1993Description: xxiii, 454 pages; 24 cmISBN: - 047161971X
- QA 279 .P85 1993
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National University - Manila | LRC - Annex General Circulation | General Education | GC QA 279 .P85 1993 (Browse shelf(Opens below)) | c.1 | Available | NULIB000005006 |
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| GC QA 276 .M425 1999 Introduction to probability & statistics / | GC QA 276 .M46 2013 Introduction to probability and statistics / | GC QA 276 .S75 1992 Schaum's outline of theory and problems of statistical : SI units / | GC QA 279 .P85 1993 Optimal design of experiments / | GC QA 303 .A97 2013 Schaum's outlines calculus : 1,105 fully solved problems 30 problem-solving videos online / | GC QA 303 .C35 2010 c.1 Calculus and its applications / | GC QA 303 .C35 2010 c.2 Calculus and its applications / |
Includes bibliographical references and index.
Chapter1. Experimental design -- Chapter2.Optimal designs for scalar parameter system -- Chapter3. Information matrices -- Chapter4. Loewner optimality -- Chapter5. Real Optimality criteria -- Chapter6. Matrix means -- Chapter7. The general equivalence theorem -- Chapter8. Optimal moment matrices and optimal designs -- Chapter9. D-,A-,E-,T-optimality -- Chapter10. Admissibility of moment and information matrices -- Chapter11. Bayes designs and discrimination designs -- Chapter12. Efficient designs for finite sample -- Chapter13. Invariant design problem -- Chapter14. Kiefer optimality -- Chapter15. Rotatability and response surface designs .
The design problems originate from statistics, but are solved using special tools from linear algebra and convex analysis, such as the information matrix mapping of chapter 3 and the information function of chapter 5. It is hoped that the exposition conveys some of the fascinate that grows out of merging three otherwise distinct mathematical disciplines.
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