Theory of Optimal Designs (Lecture Notes in Statistics): 54 - Brossura

Shah, Kirti R.

 
9780387969916: Theory of Optimal Designs (Lecture Notes in Statistics): 54

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There has been an enormous growth in recent years in the literature on discrete optimal designs. Since the details of the construction of the designs are available in excellent books, we have only pointed out the designs which have optimality proper­ ties.

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Contenuti

1. Optimality Criteria In Design of Experiments.- 1. General Objectives.- 2. The Linear Model Set-up.- 3. Choice of Optimality Criteria.- References.- 2. Block Designs: General Optimality.- 1. Introduction.- 2. Universal Optimality of the BBDs.- 3. Optimality of Some Classes of Asymmetrical Designs w.r.t the Generalized Criteria.- References.- 3. Block Designs: Specific Optimality.- 1. Introduction.- 2. E-optimal Designs.- 3. Efficiency Factor and A-optimal Designs.- 4. MV-optimal Designs.- 5. D-optimal Designs.- 6. Regular Graph Designs and John-Mitchell Conjecture.- 7. Optimal Designs with Unequal Block Sizes.- References.- 4 Row-Column Designs.- 1. Introduction.- 2. Universal Optimality of the Regular GYDs.- 3. Nonregular GYDs: Specific Optimality Results.- 4. Optimality of Other Row-Column Designs.- References.- 5. Mixed Effects Models.- 1. Introduction.- 2. Optimality Aspects of Block Designs Under a Mixed Effects Model.- 3. Optimality of GYDs Under a Mixed Effects Model.- 4. Concluding Remarks.- References.- 6. Repeated Measurements Designs.- 1. Introduction.- 2. The Linear Model(s), Definitions and Notations.- 3. Universal Optimality of Strongly Balanced Uniform RMDs.- 4. Universal Optimality of Nearly Strongly Balanced Uniform RMDs.- 5. Universal Optimality of Balanced Uniform RMDs.- 6. Concluding Remarks.- References.- 7. Optimal Designs For Some Special Cases.- 1. Introduction.- 2. Models with Correlated Observations.- 3. Models with Covariates.- 4. Designs for Comparing Treatments vs. Control.- References.- 8. Weighing Designs.- 1. Introduction.- 2. A Study of Chemical Balance Weighing Designs.- 3. A Study of Spring Balance Weighing Designs.- 4. Optimal Estimation of Total Weight.- 5. Miscellaneous Topics in Weighing Designs.- References.- Author Index.

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Altre edizioni note dello stesso titolo

9781461236634: Theory of Optimal Designs

Edizione in evidenza

ISBN 10:  1461236630 ISBN 13:  9781461236634
Casa editrice: Springer, 2011
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