Fr. 185.00

Optimum Experimental Designs

Englisch · Fester Einband

Versand in der Regel in 3 bis 5 Wochen

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Zusatztext ...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. Klappentext A well-designed experiment is an efficient method for learning about the physical world, however since experiments in any setting cannot avoid random error, statistical methods are essential for their design and implementation, and for the analysis of results. In this book, the fundamentals ofoptimum experimental design theory are presented. In the first part, 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 detaileddiscussion 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, illustrated with examples drawnfrom 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 experiments that are practical, efficient, and accurate. Zusammenfassung A well-designed experiment is an efficient learning resource. Because experiments in the field and in the laboratory cannot avoid random error, statistical methods are essential for their efficient design and analysis. This book presents the fundamentals of optimum experimental design theory. Inhaltsverzeichnis 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....

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