Optimum Experimental Designs

By: A. C. Atkinson, A. N. Donev

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Hardcover | 20 August 1992

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Hardcover
348 Pages

Dimensions(cm)
22.86 x 15.24 x 2.39

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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.

Industry Reviews

`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)

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