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Optimum Experimental Designs
Buch von A C Atkinson (u. a.)
Sprache: Englisch

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Beschreibung
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 of
optimum 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 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, 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 experiments that are practical, efficient, and accurate.
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 of
optimum 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 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, 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 experiments that are practical, efficient, and accurate.
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.
Details
Erscheinungsjahr: 1992
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9780198522546
ISBN-10: 0198522541
Sprache: Englisch
Einband: Gebunden
Autor: Atkinson, A C
Donev, A N
Hersteller: Oxford University Press (UK)
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 242 x 161 x 25 mm
Von/Mit: A C Atkinson (u. a.)
Erscheinungsdatum: 26.11.1992
Gewicht: 0,703 kg
Artikel-ID: 120662202
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.
Details
Erscheinungsjahr: 1992
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9780198522546
ISBN-10: 0198522541
Sprache: Englisch
Einband: Gebunden
Autor: Atkinson, A C
Donev, A N
Hersteller: Oxford University Press (UK)
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 242 x 161 x 25 mm
Von/Mit: A C Atkinson (u. a.)
Erscheinungsdatum: 26.11.1992
Gewicht: 0,703 kg
Artikel-ID: 120662202
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