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Design and Analysis of Experiments

Librairie Eyrolles - Paris 5e
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Design and Analysis of Experiments

Design and Analysis of Experiments

Angela Dean, Daniel Voss

740 pages, parution le 01/04/2001

Résumé

The design and analysis of experiments is an essential part of investigation and discovery in science, of process and product improvement in manufacturing, and of comparison of competing protocols or treatments in the applied sciences. This book offers a step by step guide to the experimental planning process and the ensuing analysis of normally distributed data.

Design and Analysis of Experiments emphasizes the practical considerations governing the design of an experiment based on the objectives of the study and a solid statistical foundation for the analysis. Almost all data sets in the book have been obtained from real experiments, either run by students in statistics and the applied sciences, or published in the scientific literature. Details of the planning stage of numerous different experiments are discussed. The statistical analysis of experimental data is based on estimable functions and is developed with some care.

Design and Analysis of Experiments starts with basic principles and techniques of experimental design and analysis of experiments. It provides a checklist for the planning of experiments, and explains the estimation of treatment contrasts and analysis of variance. These basics are then applied in a wide variety of settings. Designs covered include completely randomized designs, complete and incomplete block designs, row-column designs, single replicate designs with confounding, fractional factorial designs, response surface designs, and designs involving nested factors and factors with random effects, including split-plot designs.

The book is accessible to all readers who have a good basic knowledge of expected values, confidence intervals and hypothesis tests. It is ideal for use in the classroom at both the senior undergraduate and the graduate level. A guide to the use of the SAS System computer package is given at the end of each chapter, but the book can equally well be used in conjunction with any statistical package. Exercises based on a large number of different experiments are included in most chapters.

Contents

  • Principles and Techniques
  • Planning Experiments
  • Designs With One Source of Variation
  • Inferences for Contrasts and Treatment Means
  • Checking Model Assumptions
  • Experiments With Two Crossed Treatment Factors
  • Several Crossed Treatment Factors
  • Polynomial Regression
  • Analysis of Covariance
  • Complete Block Designs
  • Incomplete Block Designs
  • Designs With Two Blocking Factors
  • Confounded Two-Level Factorial Experiments
  • Confounding in General Factorial Experiments
  • Fractional Factorial Experiments
  • Response Surface Methodology
  • Random Effects and Variance Components
  • Nested Models
  • Split-Plot Designs

L'auteur - Angela Dean

Angela Dean is Professor of Statistics at The Ohio State University. She is a Fellow of the American Statistical Association, a Fellow the Royal Statistical Society and an elected member of the International Statistical Institute. Her research focuses on the construction of efficient designs for factorial experiments. She is currently on the editorial board of the Journal of the Royal Statistical Society.

L'auteur - Daniel Voss

Daniel Voss is Associate Professor of Mathematics and Statistics at Wright State University. His research focuses on the analysis of saturated fractional factorial designs, following past work on confounding in factorial experiments as well as robust design. He is a member of the WSU Statistical Consulting Center Advisory Committee and has served as Associate and Interim Director of the center.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Angela Dean, Daniel Voss
Parution 01/04/2001
Nb. de pages 740
Format 20,5 x 24
Couverture Relié
Poids 1570g
Intérieur Noir et Blanc
EAN13 9780387985619

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