This book is well-written and attractively laid out. It provides an in-depth but practical look at Analysis of Means, written by experts on the topic. It seems sad that ANOM is treated as the ugly stepsister of ANOVA, especially as the graphical analyses provided are powerful, and intuitive to the non-statistician. These authors redress this sorry state of affairs, and provide worked examples of many variants of ANOM, useful in settings of industry and health-care.
The worked examples are most useful, and the book is fully referenced for those who wish to delve into the intricacies of the underlying theory.
I have just two criticisms:
1. The typesetting is excellent, but in the font chosen, a 'subscripted' capital I looks somewhat like a 1, which can be slightly confusing, although the context always makes the distinction clear;
2. The authors do not explore what to do where a normal assumption is not justified in the case of Binomial data, in Sections 2.3 and 3.3. According to their criteria for a "sufficient sample size", 'sufficiency' here depends on the numerator (although this is obscure at first glance), so even with a large denominator the criterion may not be met. (This makes sense, but what do you then do?)
I'd recommend you buy this book, if ANOM intrigues you (as it should). The key value is perhaps in the tables at the back, which allow you to specify precisely the confidence intervals for comparison of up to 20 means. This is particularly useful if you don't have SAS or Minitab, as the R programming environment doesn't yet (2011) seem to have substantial ANOM capabilities. You would be hard put to create these tables yourself, as they require multiple integrations in the complex plane.
The Analysis of Means: A Graphical Method for Comparing Means, Rates, and Proportions (ASA-SIAM Series on Statistics and Applied Probability, Series Number 18)
by
Peter R. Nelson
(Author),
Peter S. Wludyka
(Author),
Karen A. F. Copeland
(Author)
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ISBN-13:
978-0898715927
ISBN-10:
089871592X
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The analysis of means (ANOM) is a graphical procedure used to quantify differences among treatment groups in a variety of experimental design and observational study situations. Key advances in ANOM procedures that have appeared only in technical journals during the last 20 years are included in this first comprehensive modern treatment of the ANOM containing all of the needed information for practitioners to understand and apply ANOM. This book contains examples from a wide variety of fields adapted from real-world applications and data with easy-to-follow, step-by-step instructions. It is front loaded, so potential ANOM users can find solutions to standard problems in the first five chapters. An appendix contains several SAS® examples showing the system's ANOM capabilities and how SAS was used to produce selected ANOM decision charts in the book. It will be welcomed by practitioners and statisticians, for whom it will serve both as a primer and reference.
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Editorial Reviews
Review
'The book provides a well-written, comprehensive discussion of the analysis of means applied to almost all standard statistical methods.' William J. Wilson, Professor of Statistics, University of North Florida
'The book is a very practical comprehensive guide to the ANOM procedure. It has widespread application and is written at a level that can be comprehended by those who do not have a background in statistics. The ANOM procedures presented in the book provide the reader a means of communicating data to management, industry regulators, and peers in simple, graphical terms. The procedures combine the power of statistics with the simplicity of basic plotting techniques.' Sheri L. Meredith, Senior Quality Engineer, Vistakon, Division of Johnson & Johnson Vision Care, Inc., Jacksonville, Florida
'This book provides an excellent introduction to ANOM, and it should be part of every statistician's library. It is well written and covers a wide range of methods … In addition to the lucid presentation of the different types of analyses, the authors also provide excellent explanations of statistical concepts, as they are needed.' Gudmund R. Iverson, MAA Reviews
'The book is a very practical comprehensive guide to the ANOM procedure. It has widespread application and is written at a level that can be comprehended by those who do not have a background in statistics. The ANOM procedures presented in the book provide the reader a means of communicating data to management, industry regulators, and peers in simple, graphical terms. The procedures combine the power of statistics with the simplicity of basic plotting techniques.' Sheri L. Meredith, Senior Quality Engineer, Vistakon, Division of Johnson & Johnson Vision Care, Inc., Jacksonville, Florida
'This book provides an excellent introduction to ANOM, and it should be part of every statistician's library. It is well written and covers a wide range of methods … In addition to the lucid presentation of the different types of analyses, the authors also provide excellent explanations of statistical concepts, as they are needed.' Gudmund R. Iverson, MAA Reviews
Book Description
First comprehensive modern treatment of ANOM will be welcomed by practitioners and statisticians as a primer and reference.
From the Inside Flap
The book provides a well-written, comprehensive discussion of the analysis of means applied to almost all standard statistical methods. William J. Wilson, Professor of Statistics, University of North Florida."The book is a very practical comprehensive guide to the ANOM procedure. It has widespread application and is written at a level that can be comprehended by those who do not have a background in statistics. The ANOM procedures presented in the book provide the reader a means of communicating data to management, industry regulators, and peers in simple, graphical terms. The procedures combine the power of statistics with the simplicity of basic plotting techniques." Sheri L. Meredith, Senior Quality Engineer, Vistakon, Division of Johnson & Johnson Vision Care, Inc., Jacksonville, Florida.
About the Author
Peter R. Nelson (1949 - 2004), formerly of Clemson University, played a key role in the development of ANOM methods. In addition to authoring journal articles, books, and book chapters, he served as editor and as editorial review board member of the Journal of Quality Technology and as editorial review board member of the American Journal of Mathematical and Management Sciences. Peter was a Fellow of the ASA and ASQ.
Peter S. Wludyka is Associate Professor of Statistics at the University of North Florida, Jacksonville, and Director of the UNF Center for Research and Consulting in Statistics. He is also Biostatistical Consultant to the Office of the Dean at the University of Florida Health Sciences Center in Jacksonville, Florida. His paper on analysis of means for variances, co-authored with Peter Nelson, won the Wilcoxon Prize as best applications paper in Technometrics in 1997. Among his publications are a half dozen methodological papers on the ANOM. He has presented talks to SAS user groups on ANOM and routinely uses ANOM in collaborative research and consulting.
Karen A. F. Copeland is currently the principal statistician of Boulder Statistics, which provides statistical consulting services to clients in a variety of industry sectors, including the medical device, chemical, medical diagnostic, environmental, consumer product, food product, and tourism sectors. She held academic and industrial positions before becoming an independent consultant. Karen is a co-author of Introductory Statistics for Engineering Experimentation (Academic Press, 2003) as well as an author of peer-reviewed papers. She has developed JMP scripts for using ANOM.
Peter S. Wludyka is Associate Professor of Statistics at the University of North Florida, Jacksonville, and Director of the UNF Center for Research and Consulting in Statistics. He is also Biostatistical Consultant to the Office of the Dean at the University of Florida Health Sciences Center in Jacksonville, Florida. His paper on analysis of means for variances, co-authored with Peter Nelson, won the Wilcoxon Prize as best applications paper in Technometrics in 1997. Among his publications are a half dozen methodological papers on the ANOM. He has presented talks to SAS user groups on ANOM and routinely uses ANOM in collaborative research and consulting.
Karen A. F. Copeland is currently the principal statistician of Boulder Statistics, which provides statistical consulting services to clients in a variety of industry sectors, including the medical device, chemical, medical diagnostic, environmental, consumer product, food product, and tourism sectors. She held academic and industrial positions before becoming an independent consultant. Karen is a co-author of Introductory Statistics for Engineering Experimentation (Academic Press, 2003) as well as an author of peer-reviewed papers. She has developed JMP scripts for using ANOM.
Product details
- Publisher : Society for Industrial and Applied Mathematics (January 1, 1987)
- Language : English
- Paperback : 184 pages
- ISBN-10 : 089871592X
- ISBN-13 : 978-0898715927
- Item Weight : 1.6 ounces
- Dimensions : 7 x 0.5 x 10 inches
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