TY  - BOOK
AU  - Pukelsheim, Friedrich
TI  - Optimal design of experiments
SN  - 047161971X
AV  - QA 279 .P85 1993 
PY  - 1993///
CY  - New York
PB  - John Wiley & Son, Inc.
KW  - EXPERIMENTAL DESIGN
N1  - 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
N2  - 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
ER  -