Optimum Experimental Designs, With SAS: 34 - Rilegato

Atkinson, Anthony; Donev, Alexander; Tobias, Randall

Rilegato

ISBN 10: 0199296596 ISBN 13: 9780199296590

Casa editrice: OUP Oxford, 2007

Riassunto

Experiments on patients, processes or plants all have random error, making statistical methods essential for their efficient design and analysis. This book presents the theory and methods of optimum experimental design, making them available through the use of SAS programs. Little previous statistical knowledge is assumed. The first part of the book stresses the importance of models in the analysis of data and introduces least squares fitting and simple optimum experimental designs. The second part presents a more detailed discussion of the general theory and of a wide variety of experiments. The book stresses the use of SAS to provide hands-on solutions for the construction of designs in both standard and non-standard situations. The mathematical theory of the designs is developed in parallel with their construction in SAS, so providing motivation for the development of the subject. Many chapters cover self-contained topics drawn from science, engineering and pharmaceutical investigations, such as response surface designs, blocking of experiments, designs for mixture experiments and for nonlinear and generalized linear models. Understanding is aided by the provision of "SAS tasks" after most chapters as well as by more traditional exercises and a fully supported website. The authors are leading experts in key fields and this book is ideal for statisticians and scientists in academia, research and the process and pharmaceutical industries.

Su questo libro

L'autore

Anthony Atkinson is at the London School of Economics. Alexander Donev is with Astra Zeneca. Randall Tobias is with the SAS Institute Inc.

Contenuti

• Preface
• I Background
• 1: Introduction
• 2: Some key ideas
• 3: Experimental strategies
• 4: The choice of a model
• 5: Models and least squares
• 6: Criteria for a good experiment
• 7: Standard designs
• 8: The analysis of experiments
• II Theory and applications
• 9: Optimum design theory
• 10: Criteria of optimality
• 11: D-optimum designs
• 12: Algorithms for the construction of exact D-optimum designs
• 13: Optimum experimental design with SAS
• 14: Experiments with both qualitative and quantitative factors
• 15: Blocking response surface designs
• 16: Mixture experiments
• 17: Nonlinear models
• 18: Bayesian optimum designs
• 19: Design augmentation
• 20: Model checking and designs for discriminating between models
• 21: Compound design criteria
• 22: Generalized linear models
• 23: Response transformation and structured variances
• 24: Time-dependent models with correlated observations
• 25: Further topics
• 26: Exercises
• Bibliography
• Author index
• Subject index

Dettagli dell'edizione

• Editore: OUP Oxford
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0199296596
• ISBN 13: 9780199296590
• Rilegatura: Copertina rigida
• Numero di pagine: 528
• Contatto del produttore: non disponibile
• Persona responsabile: Oxford University Press España S.A. of El Parque Empresarial; product.safety@oup.com; ; San Fernando de Henares, Avenida de Castilla, 2 - 28830 Madrid; Madrid; Spagna