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Praise for the Second Edition "As a comprehensive statistics reference book for quality improvement, it certainly is one of the best books available." --Technometrics This new edition continues to provide the most current, proven statistical methods for quality control and quality improvement The use of quantitative methods offers numerous benefits in the fields of industry and business, both through identifying existing trouble spots and alerting management and technical personnel to potential problems. Statistical Methods for Quality Improvement, Third Edition guides readers through a broad range of tools and techniques that make it possible to quickly identify and resolve both current and potential trouble spots within almost any manufacturing or nonmanufacturing process. The book provides detailed coverage of the application of control charts, while also exploring critical topics such as regression, design of experiments, and Taguchi methods. In this new edition, the author continues to explain how to combine the many statistical methods explored in the book in order to optimize quality control and improvement. The book has been thoroughly revised and updated to reflect the latest research and practices in statistical methods and quality control, and new features include: * Updated coverage of control charts, with newly added tools * The latest research on the monitoring of linear profiles and other types of profiles * Sections on generalized likelihood ratio charts and the effects of parameter estimation on the properties of CUSUM and EWMA procedures * New discussions on design of experiments that include conditional effects and fraction of design space plots * New material on Lean Six Sigma and Six Sigma programs and training Incorporating the latest software applications, the author has added coverage on how to use Minitab software to obtain probability limits for attribute charts. new exercises have been added throughout the book, allowing readers to put the latest statistical methods into practice. Updated references are also provided, shedding light on the current literature and providing resources for further study of the topic. Statistical Methods for Quality Improvement, Third Edition is an excellent book for courses on quality control and design of experiments at the upper-undergraduate and graduate levels. the book also serves as a valuable reference for practicing statisticians, engineers, and physical scientists interested in statistical quality improvement.
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Contents
Cover
Series
Title Page
Copyright
Preface
Preface to the Second Edition
Preface to the First Edition
Part I: Fundamental Quality Improvement and Statistical Concepts
Chapter 1: Introduction
1.1 QUALITY AND PRODUCTIVITY
1.2 QUALITY COSTS (OR DOES IT?)
1.3 THE NEED FOR STATISTICAL METHODS
1.4 EARLY USE OF STATISTICAL METHODS FOR IMPROVING QUALITY
1.5 INFLUENTIAL QUALITY EXPERTS
1.6 SUMMARY
REFERENCES
Chapter 2: Basic Tools for Improving Quality
2.1 HISTOGRAM
2.2 PARETO CHARTS
2.3 SCATTER PLOTS
2.4 CONTROL CHART
2.5 CHECK SHEET
2.6 CAUSE-AND-EFFECT DIAGRAM
2.7 DEFECT CONCENTRATION DIAGRAM
2.8 THE SEVEN NEWER TOOLS
2.9 SOFTWARE
2.10 SUMMARY
REFERENCES
EXERCISES
Chapter 3: Basic Concepts in Statistics and Probability
3.1 PROBABILITY
3.2 SAMPLE VERSUS POPULATION
3.3 LOCATION
3.4 VARIATION
3.5 DISCRETE DISTRIBUTIONS
3.6 CONTINUOUS DISTRIBUTIONS
3.7 CHOICE OF STATISTICAL DISTRIBUTION
3.8 STATISTICAL INFERENCE
3.9 ENUMERATIVE STUDIES VERSUS ANALYTIC STUDIES
REFERENCES
EXERCISES
Part II: Control Charts and Process Capability
Chapter 4: Control Charts for Measurements With Subgrouping (for One Variable)
4.1 BASIC CONTROL CHART PRINCIPLES
4.2 REAL-TIME CONTROL CHARTING VERSUS ANALYSIS OF PAST DATA
4.3 CONTROL CHARTS: WHEN TO USE, WHERE TO USE, HOW MANY TO USE
4.4 BENEFITS FROM THE USE OF CONTROL CHARTS
4.5 RATIONAL SUBGROUPS
4.6 BASIC STATISTICAL ASPECTS OF CONTROL CHARTS
4.7 ILLUSTRATIVE EXAMPLE
4.8 ILLUSTRATIVE EXAMPLE WITH REAL DATA
4.9 DETERMINING THE POINT OF A PARAMETER CHANGE
4.10 ACCEPTANCE SAMPLING AND ACCEPTANCE CONTROL CHART
4.11 MODIFIED LIMITS
4.12 DIFFERENCE CONTROL CHARTS
4.13 OTHER CHARTS
4.14 AVERAGE RUN LENGTH (ARL)
4.15 DETERMINING THE SUBGROUP SIZE
4.16 OUT-OF-CONTROL ACTION PLANS
4.17 ASSUMPTIONS FOR THE CHARTS IN THIS CHAPTER
4.18 MEASUREMENT ERROR
4.19 SOFTWARE
4.20 SUMMARY
APPENDIX
REFERENCES
EXERCISES
Chapter 5: Control Charts for Measurements Without Subgrouping (for One Variable)
5.1 INDIVIDUAL OBSERVATIONS CHART
5.2 TRANSFORM THE DATA OR FIT A DISTRIBUTION?
5.3 MOVING AVERAGE CHART
5.4 CONTROLLING VARIABILITY WITH INDIVIDUAL OBSERVATIONS
5.5 SUMMARY
5.6 APPENDIX
REFERENCES
EXERCISES
Chapter 6: Control Charts for Attributes
6.1 CHARTS FOR NONCONFORMING UNITS
EXAMPLE 6.1
6.2 CHARTS FOR NONCONFORMITIES
EXAMPLE 6.2
6.3 SUMMARY
REFERENCES
EXERCISES
Chapter 7: Process Capability
7.1 DATA ACQUISITION FOR CAPABILITY INDICES
7.2 PROCESS CAPABILITY INDICES
7.3 ESTIMATING THE PARAMETERS IN PROCESS CAPABILITY INDICES
7.4 DISTRIBUTIONAL ASSUMPTION FOR CAPABILITY INDICES
7.5 CONFIDENCE INTERVALS FOR PROCESS CAPABILITY INDICES
7.6 ASYMMETRIC BILATERAL TOLERANCES
7.7 CAPABILITY INDICES THAT ARE A FUNCTION OF PERCENT NONCONFORMING
7.8 MODIFIED k INDEX
7.9 OTHER APPROACHES
7.10 PROCESS CAPABILITY PLOTS
7.11 PROCESS CAPABILITY INDICES VERSUS PROCESS PERFORMANCE INDICES
7.12 PROCESS CAPABILITY INDICES WITH AUTOCORRELATED DATA
7.13 SOFTWARE FOR PROCESS CAPABILITY INDICES
7.14 SUMMARY
REFERENCES
EXERCISES
Chapter 8: Alternatives to Shewhart Charts
8.1 INTRODUCTION
8.2 CUMULATIVE SUM PROCEDURES: PRINCIPLES AND HISTORICAL DEVELOPMENT
8.3 CUSUM PROCEDURES FOR CONTROLLING PROCESS VARIABILITY
8.4 APPLICATIONS OF CUSUM PROCEDURES
8.5 GENERALIZED LIKELIHOOD RATIO CHARTS: COMPETITIVE ALTERNATIVE TO CUSUM CHARTS
8.6 CUSUM PROCEDURES FOR NONCONFORMING UNITS
8.7 CUSUM PROCEDURES FOR NONCONFORMITY DATA
8.8 EXPONENTIALLY WEIGHTED MOVING AVERAGE CHARTS
8.9 SOFTWARE
8.10 SUMMARY
REFERENCES
EXERCISES
Chapter 9: Multivariate Control Charts for Measurement and Attribute Data
9.1 HOTELLING’S T2 DISTRIBUTION
9.2 A T2 CONTROL CHART
9.3 MULTIVARIATE CHART VERSUS INDIVIDUAL -CHARTS
9.4 CHARTS FOR DETECTING VARIABILITY AND CORRELATION SHIFTS
9.5 CHARTS CONSTRUCTED USING INDIVIDUAL OBSERVATIONS
9.6 WHEN TO USE EACH CHART
9.7 ACTUAL ALPHA LEVELS FOR MULTIPLE POINTS
9.8 REQUISITE ASSUMPTIONS
9.9 EFFECTS OF PARAMETER ESTIMATION ON ARL
9.10 DIMENSION-REDUCTION AND VARIABLE SELECTION TECHNIQUES
9.11 MULTIVARIATE CUSUM CHARTS
9.12 MULTIVARIATE EWMA CHARTS
9.13 EFFECT OF MEASUREMENT ERROR
9.14 APPLICATIONS OF MULTIVARIATE CHARTS
9.15 MULTIVARIATE PROCESS CAPABILITY INDICES
9.16 SUMMARY
APPENDIX
REFERENCES
EXERCISES
Chapter 10: Miscellaneous Control Chart Topics
10.1 PRE-CONTROL
10.2 SHORT-RUN SPC
10.3 CHARTS FOR AUTOCORRELATED DATA
10.4 CHARTS FOR BATCH PROCESSES
10.5 CHARTS FOR MULTIPLE-STREAM PROCESSES
10.6 NONPARAMETRIC CONTROL CHARTS
10.7 BAYESIAN CONTROL CHART METHODS
10.8 CONTROL CHARTS FOR VARIANCE COMPONENTS
10.9 CONTROL CHARTS FOR HIGHLY CENSORED DATA
10.10 NEURAL NETWORKS
10.11 ECONOMIC DESIGN OF CONTROL CHARTS
10.12 CHARTS WITH VARIABLE SAMPLE SIZE AND/OR VARIABLE SAMPLING INTERVAL
10.13 USERS OF CONTROL CHARTS
10.14 SOFTWARE FOR CONTROL CHARTING
BIBLIOGRAPHY
EXERCISES
Part III: Beyond Control Charts: Graphical and Statistical Methods
Chapter 11: Graphical Methods
11.1 HISTOGRAM
11.2 STEM-AND-LEAF DISPLAY
11.3 DOT DIAGRAMS
11.4 BOXPLOT
11.5 NORMAL PROBABILITY PLOT
11.6 PLOTTING THREE VARIABLES
11.7 DISPLAYING MORE THAN THREE VARIABLES
11.8 PLOTS TO AID IN TRANSFORMING DATA
11.9 SUMMARY
REFERENCES
EXERCISES
Chapter 12: Linear Regression
12.1 SIMPLE LINEAR REGRESSION
12.2 WORTH OF THE PREDICTION EQUATION
12.3 ASSUMPTIONS
12.4 CHECKING ASSUMPTIONS THROUGH RESIDUAL PLOTS
12.5 CONFIDENCE INTERVALS AND HYPOTHESIS TEST
12.6 PREDICTION INTERVAL FOR Y
12.7 REGRESSION CONTROL CHART
12.8 CAUSE-SELECTING CONTROL CHARTS
12.9 LINEAR, NONLINEAR, AND NONPARAMETRIC PROFILES
12.10 INVERSE REGRESSION
12.11 MULTIPLE LINEAR REGRESSION
12.12 ISSUES IN MULTIPLE REGRESSION
12.13 SOFTWARE FOR REGRESSION
12.14 SUMMARY
REFERENCES
EXERCISES
Chapter 13: Design of Experiments
13.1 A SIMPLE EXAMPLE OF EXPERIMENTAL DESIGN PRINCIPLES
13.2 PRINCIPLES OF EXPERIMENTAL DESIGN
13.3 STATISTICAL CONCEPTS IN EXPERIMENTAL DESIGN
13.4 t-TESTS
13.5 ANALYSIS OF VARIANCE FOR ONE FACTOR
13.6 REGRESSION ANALYSIS OF DATA FROM DESIGNED EXPERIMENTS
13.7 ANOVA FOR TWO FACTORS
13.8 THE 23 DESIGN
13.9 ASSESSMENT OF EFFECTS WITHOUT A RESIDUAL TERM
13.10 RESIDUAL PLOT
13.11 SEPARATE ANALYSES USING DESIGN UNITS AND UNCODED UNITS
13.12 TWO-LEVEL DESIGNS WITH MORE THAN THREE FACTORS
13.13 THREE-LEVEL FACTORIAL DESIGNS
13.14 MIXED FACTORIALS
13.15 FRACTIONAL FACTORIALS
13.16 OTHER TOPICS IN EXPERIMENTAL DESIGN AND THEIR APPLICATIONS
13.17 SUMMARY
REFERENCES
EXERCISES
Chapter 14: Contributions of Genichi Taguchi and Alternative Approaches
14.1 “TAGUCHI METHODS”
14.2 QUALITY ENGINEERING
14.3 LOSS FUNCTIONS
14.4 DISTRIBUTION NOT CENTERED AT THE TARGET
14.5 LOSS FUNCTIONS AND SPECIFICATION LIMITS
14.6 ASYMMETRIC LOSS FUNCTIONS
14.7 SIGNAL-TO-NOISE RATIOS AND ALTERNATIVES
14.8 EXPERIMENTAL DESIGNS FOR STAGE ONE
14.9 TAGUCHI METHODS OF DESIGN
14.10 DETERMINING OPTIMUM CONDITIONS
14.11 SUMMARY
REFERENCES
EXERCISES
Chapter 15: Evolutionary Operation
15.1 EVOP ILLUSTRATIONS
15.2 THREE VARIABLES
15.3 SIMPLEX EVOP
15.4 OTHER EVOP PROCEDURES
15.5 MISCELLANEOUS USES OF EVOP
15.6 SUMMARY
APPENDIX
EXERCISES
REFERENCES
Chapter 16: Analysis of Means
16.1 ANOM FOR ONE-WAY CLASSIFICATIONS
16.2 ANOM FOR ATTRIBUTE DATA
16.3 ANOM WHEN STANDARDS ARE GIVEN
16.4 ANOM FOR FACTORIAL DESIGNS
16.5 ANOM WHEN AT LEAST ONE FACTOR HAS MORE THAN TWO LEVELS
16.6 USE OF ANOM WITH OTHER DESIGNS
16.7 NONPARAMETRIC ANOM
16.8 SUMMARY
APPENDIX
REFERENCES
EXERCISES
Chapter 17: Using Combinations of Quality Improvement Tools
17.1 CONTROL CHARTS AND DESIGN OF EXPERIMENTS
17.2 CONTROL CHARTS AND CALIBRATION EXPERIMENTS
17.3 SIX SIGMA PROGRAMS
17.4 STATISTICAL PROCESS CONTROL AND ENGINEERING PROCESS CONTROL
REFERENCES
Answers to Selected Exercises
Appendix: Statistical Tables
Author Index
Subject Index
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Library of Congress Cataloging-in-Publication Data
Ryan, Thomas P., 1945- Statistical methods for quality improvement / Thomas P. Ryan. – 3rd ed. p. cm. – (Wiley series in probability and statistics ; 840) Includes bibliographical references and index. ISBN 978-0-470-59074-4 (hardback) 1. Quality control–Statistical methods. 2. Process control–Statistical methods. I. Title TS156.R9 2011 658.5′62–dc23
2011022715
oBook ISBN: 978-1-118-05811-4 ePDF ISBN: 978-1-118-05809-1 ePub ISBN: 978-1-118-05810-7
Preface
The field of statistical methods applied to quality improvement continues to evolve and there has been an attempt to parallel this development with the editions of this book.
For the control chart chapters, Chapter 9 on multivariate control charts has grown considerably, with several new sections and many additional references.
There is also a major addition to Chapter 12. Within the past 10 years there has been considerable research on the monitoring of linear profiles and other types of profiles. Section 12.9, a moderately long section, was added to cover this new material.
A major addition to the chapter on attribute control charts (Chapter 6) has been the sections on how to use software such as MINITAB® to obtain probability limits for attribute charts, with this addition motivated by reader feedback. That chapter also contains 15 new references.
Two sections were added to the chapter on process capability indices, Chapter 7, in addition to 16 new references.
Chapter 8, on alternatives to Shewhart charts, has been expanded considerably to include sections on the effects of parameter estimation on the properties of CUSUM and EWMA procedures, in addition to information on certain freeware that can be used to aid in the design of CUSUM procedures. Following the recommendation of a colleague, a section on generalized likelihood ratio charts (Section 8.5) has also been added, in addition to 28 new chapter references.
An important, although brief, section on conditional effects was added to Chapter 13, along with a section on fraction of design space plots and 31 new references. Chapter 14 has one new section and four additional references. More material on Six Sigma programs and training has been added to Chapter 17, and there is a new section on Lean Six Sigma, in addition to eight new references.
There has been a moderate increase in the number of chapter exercises, including nine new exercises in Chapter 3, five in Chapter 4, a total of eleven in Chapters 5–8, and five in Chapter 13.
For a one-semester college course, Chapters 4–10 could form the basis for a course that covers control charts and process capability. Instructors who wish to cover only basic concepts might use Chapters 1, 2, as much of 3 as is necessary, 4, 5, and 6, and selectively choose from Chapters 7, 8, and 10.
The book might also be used in a special topics design of experiments course, with emphasis on Chapters 13 and 14, with Chapter 16 also covered and perhaps Chapter 15. For reader convenience, the book's data sets can be found online at:
I am indebted to the researchers who have made many important contributions since the publication of the previous edition, and I am pleased to present their work in addition to my own work. I am also grateful for the feedback from instructors who have taught from the first two editions and also appreciate the support of my editor at Wiley, Susanne Steitz-Filler, and the work of the production people, especially Rosalyn Farkas.
Thomas P. Ryan
December 2010
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