Design and Analysis of Experiments
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Beschreibung
This textbook takes a strategic approach to the broad-reaching subject of experimental design by identifying the objectives behind an experiment and teaching practical considerations that govern design and implementation, concepts that serve as the basis for the analytical techniques covered. Rather than a collection of miscellaneous approaches, chapters build on the planning, running, and analyzing of simple experiments in an approach that results from decades of teaching the subject. In most experiments, the procedures can be reproduced by readers, thus giving them a broad exposure to experiments that are simple enough to be followed through their entire course. Outlines of student and published experiments appear throughout the text and as exercises at the end of the chapters. The authors develop the theory of estimable functions and analysis of variance with detail, but at a mathematical level that is simultaneously approachable. Throughout the book, statistical aspects of analysis complement practical aspects of design.
This new, second edition includes
- an additional chapter on computer experiments
- additional "Using R” sections at the end of each chapter to illustrate R code and output
- updated output for all SAS programs and use of SAS Proc Mixed
- new material on screening experiments and analysis of mixed models
Daniel Voss, PhD, is Professor Emeritus of Mathematics and Statistics and former Interim Dean of the College of Science and Mathematics at Wright State University, Dayton, Ohio. His researchinterests include the analysis of saturated fractional factorial experiments, and the equivalence of hypothesis testing and confidence interval estimation.
Danel Draguljic, PhD, is Assistant Professor of Mathematics at Franklin & Marshall College, Lancaster, Pennsylvania. His research interests include design of screening experiments, design of computer experiments, and statistics education.
This textbook takes a strategic approach to the broad-reaching subject of experimental design by identifying the objectives behind an experiment and teaching practical considerations that govern design and implementation, concepts that serve as the basis for the analytical techniques covered. Rather than a collection of miscellaneous approaches, chapters build on the planning, running, and analyzing of simple experiments in an approach that results from decades of teaching the subject. In most experiments, the procedures can be reproduced by readers, thus giving them a broad exposure to experiments that are simple enough to be followed through their entire course. Outlines of student and published experiments appear throughout the text and as exercises at the end of the chapters. The authors develop the theory of estimable functions and analysis of variance with detail, but at a mathematical level that is simultaneously approachable. Throughout the book, statistical aspects of analysiscomplement practical aspects of design.
This new, second edition includes
- an additional chapter on computer experiments
- additional "Using R” sections at the end of each chapter to illustrate R code and output
- updated output for all SAS programs and use of SAS Proc Mixed
- new material on screening experiments and analysis of mixed models
Second edition includes new material on screening experiments and analysis of mixed models, a new chapter on computer experiments, added “Using R” sections, updated SAS output, and use of SAS Proc Mixed Presents a step-by-step guide to design, including a planning checklist that emphasizes practical considerations Explains all the basics of analysis: estimation of treatment contrasts and analysis of variance, while also applying these in a wide variety of settings Utilizes data drawn from real experiments Includes supplementary material: sn.pub/extras
Autor*in
Angela Dean
Themen in »Design and Analysis of Experiments«
Analysis of Experiments Analysis of covariance Blocking factors Design of Experiments Factorial experiments Fitting models Inference for Contrasts Planning experiments Polynomial regression Random effects Variation
Stimmen zu »Design and Analysis of Experiments«
“The textbook provides a practically oriented version of design and analysis of experiments. The corresponding methods are illustrated by means of numerous simple experiments. Thus, the models and methods are equipped with many examples, exercises, numerical results and related tables and figures. ... The present volume can be recommended as textbook for lectures on models and methods of experimental design as well as handbook for use in practice.” (Kurt Marti, zbMATH 1383.62001, 2018)
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