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Design and Analysis of Gauge R&R Studies: Making Decisions with Confidence Intervals in Random and Mixed ANOVA Models


Richard K. Burdick, Connie M. Borror, and Douglas C. Montgomery



ASA-SIAM Series on Statistics and Applied Probability 17


The authors have done an excellent job of providing practitioners with an up-to-date reference for constructing confidence intervals for a class of mixed models with application to gauge R&R studies. -- José G. Ramírez, W.L. Gore & Associates, Inc.

A pattern of presentation is established in early chapters and consistently used throughout the book. The notation is also unified throughout the book, which is a major contribution. -- Greg Larsen, Agilent Technologies.


This book provides a protocol for conducting gauge repeatability and reproducibility (R&R) experiments. Such an experiment is required whenever a new test system is developed to monitor a manufacturing process. The protocol presented here is used to determine if the testing system is capable of monitoring the manufacturing process with the desired level of accuracy and precision. This protocol is not currently available in other books or technical reports.

In addition to providing a protocol for testing a measurement system, the book presents an up-to-date summary of methods used to construct confidence intervals in normal-based random and mixed analysis of variance (ANOVA) models. Thus, this comprehensive book will be useful to scientists in all fields of application who wish to construct interval estimates for ANOVA model parameters. It includes approaches that can be applied to any ANOVA model, and because it contains detailed examples of all computations, practitioners will be able to easily apply the methods. The book describes methods for constructing two types of confidence intervals: modified large-sample (MLS) and generalized confidence intervals. Computer codes written in SAS and Excel are provided to perform the computations. Appendices are included for readers who are unfamiliar with confidence intervals or lack a basic understanding of random and mixed ANOVA models.

Audience

Design and Analysis of Gauge R&R Studies: Making Decisions with Confidence Intervals in Random and Mixed ANOVA Models is directed at two audiences. The first consists of engineers who conduct gauge R&R studies as part of a measurement systems analysis, while the second group is made up of investigators who use ANOVA methods in their research.

Contents

Preface; Chapter 1: Introduction; Chapter 2: Balanced One-Factor Random Models; Chapter 3: Balanced Two-Factor Crossed Random Models with Interaction; Chapter 4: Design of Gauge R&R Experiments; Chapter 5: Balanced Two-Factor Crossed Random Models with No Interaction; Chapter 6: Balanced Two-Factor Crossed Mixed Models; Chapter 7: Unbalanced One- and Two-Factor Models; Chapter 8: Strategies for Constructing Intervals with ANOVA Models; Appendix A: The Analysis of Variance; Appendix B: MLS and GCI Methods; Appendix C: Tables of F-values; Bibliography; Index.

2005 / xviii+201 pages / Softcover / ISBN-13: 978-0-898715-88-0 / ISBN-10: 0-89871-588-1 /
List Price $67.00 / ASA/SIAM Member Price $46.90 / Order Code SA17
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