Optimum Experimental Designs: 8 - Rilegato

Atkinson, A. C.; Donev, A. N.

Rilegato

ISBN 10: 0198522541 ISBN 13: 9780198522546

Casa editrice: Clarendon Press, 1992

Riassunto

A well-designed experiment is an efficient method of learning about the world. Because experiments in the field and in the laboratory cannot avoid random error, statistical methods are essential for their efficient design and analysis. In this book, the fundamentals of optimum experimental design theory are presented. In the first part of the part of the book, the advantages of a statistical approach to the design of experiments are discussed, and the ideas of models, least squares fitting, and optimum experimental designs are introduced. The second part presents a more detailed discussion of the general theory of optimum design and an evaluation of various criteria that may be appropriate for designing experiments. Specific experiments are detailed and algorithms for the construction of designs are given.

Each chapter is a self-contained topic, illustrated with examples drawn from science and engineering. Little previous statistical knowledge is assumed, and the derivation of mathematical results has been avoided. This book should be of interest to everyone concerned with designing efficient experiments in the laboratory or in the industry.

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Recensione

The book is well laid out and is as beautifully produced as we have come to expect from the Oxford Statistical Science Series ... statisticians experienced in the design of experiments will undoubtedly find this book a thought-provoking reminder always to consider the objectives when designing experiments. (Times Higher Education Supplement)

...a condensed but authoritative statistical overview of the practice and theory of modelling, designing and analysing systematic experiments ... The techniques, many of which were developed by the authors, are clearly described and demonstrated in examples which are mainly of an industrial type. (P.J. Laycock, University of Manchester, Short Book Reviews (Publication of the International Statistical Institute))

Contenuti

Part I. Fundamentals; Introduction; Some key ideas; Experimental strategies; The choice of a model; Models and least squares; Criteria for a good experiment; Standard designs; The analysis of experiments; Part II. Theory and applications; Optimum design theory; Criteria of optimality; Experiments with both qualitative and quantitative factors; Blocking response surface designs; Restricted region designs; Failure of the experiment and design augmentation; Non-linear models; Optimum Bayesian design; Discrimination between models; Composite design criteria; Further topics.

Dettagli dell?edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1992
• ISBN 10: 0198522541
• ISBN 13: 9780198522546
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 344