Design and Analysis of Experiments

Design and Analysis of Experiments

by Angela M. Dean, Daniel Voss
ISBN-10:
1475772920
ISBN-13:
9781475772920
Pub. Date:
03/16/2013
Publisher:
Springer New York
ISBN-10:
1475772920
ISBN-13:
9781475772920
Pub. Date:
03/16/2013
Publisher:
Springer New York
Design and Analysis of Experiments

Design and Analysis of Experiments

by Angela M. Dean, Daniel Voss

Paperback

$54.99
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Overview

Our initial motivation for writing this book was the observation from various students that the subject of design and analysis of experiments can seem like “a bunch of miscellaneous topics. ”Webelievethattheidentificationof theobjectivesof theexperimentandthepractical considerations governing the design form the heart of the subject matter and serve as the link between the various analytical techniques. We also believe that learning about design and analysis of experiments is best achieved by the planning, running, and analyzing of a simple experiment. With these considerations in mind, we have included throughout the book the details of the planning stage of several experiments that were run in the course of teaching our classes. The experiments were run by students in statistics and the applied sciences and are sufficiently simple that it is possible to discuss the planning of the entire experiment in a few pages, and the procedures can be reproduced by readers of the book. In each of these experiments, we had access to the investigators’ actual report, including the difficulties they came across and how they decided on the treatment factors, the needed number of observations, and the layout of the design. In the later chapters, we have included details of a number of published experiments. The outlines of many other student and published experiments appear as exercises at the ends of the chapters. Complementing the practical aspects of the design are the statistical aspects of the anal ysis. We have developed the theory of estimable functions and analysis of variance with somecare,butatalowmathematicallevel.

Product Details

ISBN-13: 9781475772920
Publisher: Springer New York
Publication date: 03/16/2013
Series: Springer Texts in Statistics
Edition description: Softcover reprint of the original 1st ed. 1999
Pages: 742
Product dimensions: 7.52(w) x 9.25(h) x 0.06(d)

Table of Contents

Principles and Techniques.- Planning Experiments.- Designs with One Source of Variation.- Inferences for Contrasts and Treatment Means.- Checking Model Assumptions.- 6 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.
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