Pukelsheim, Friedrich <br/><br/>
Optimal design of experiments / 
Friedrich Pukelsheim 
 - New York :  John Wiley & Son, Inc.,  c1993 
 - xxiii, 454 pages;  24 cm. 
<br/><br/>Includes bibliographical references and index. 
<br/><br/>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 . 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>047161971X 
<br/><br/><label>Subjects--Topical Terms: </label><br/>EXPERIMENTAL DESIGN
<br/><br/><label>LC Class. No.: </label>QA 279 .P85 1993