A Comprehensive Guide to Factorial Two-Level Experimentation

Factorial designs enable researchers to experiment with many factors. The 50 published examples re-analyzed in this guide attest to the prolific use of two-level factorial designs. As a testimony to this universal applicability, the examples come from div

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Robert W. Mee

A Comprehensive Guide to Factorial Two-Level Experimentation

Robert W. Mee Department of Statistics, Operations, and Management Science The University of Tennessee 333 Stokely Management Center Knoxville, TN 37996-0532 USA

ISBN 978-0-387-89102-6 e-ISBN 978-0-387-89103-3 DOI 10.1007/b105081 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009927712 © Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.

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Dedication To Cherol, my lovely wife and helpmate, and our children Joseph, Elizabeth and Evangeline

To David Harville, thanks for the “license to learn”

“All these things my hand has made, and so all these things came to be, declares the Lord. But this is the one to whom I will look: he who is humble and contrite in spirit and trembles at my word.” — Isaiah 66.2

Is the universe simply made up of numbers? Our eyes tell us everything is countable, action versus reaction, a swinging pendulum. And yet a tiny voice in each of us speaks to the opposite – that every blade of grass only masks the Uncountable, that every ray of light only clothes the Infinite. — Joseph Mee

Nil sine Deo

viii

Being a student and professor is a great privilege. For 33 years I have learned about designed experiments from teachers, colleagues, and students alike. Beginning with Russell Heikes and Doug Montgomery at Georgia Tech, and David Harville and Oscar Kempthorne at Iowa State, I gained a solid foundation in the fascinating field of design and