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Introduction to Statistical Quality Control,9780471303534
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Introduction to Statistical Quality Control


Author(s): MONTGOMERY
ISBN10:  0471303534
ISBN13:  9780471303534
Format:  Hardcover
Pub. Date:  8/1/1996
Publisher(s): John Wiley & Sons Inc

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SummaryTable of Contents
This book explores the modern use of statistical methods in quality control and improvement. It provides comprehensive coverage of the subject from basic principles to state-of-the-art concepts and applications. While statistical techniques are emphasized throughout, the book has a strong engineering and management orientation, showing how modern engineers use quality control today.
Quality Improvement in the Modern Business Environment
1(32)
The Meaning of Quality and Quality Improvement
2(6)
Dimensions of Quality
2(4)
Quality Engineering Terminology
6(2)
A Brief History of Quality Methodology
8(4)
Statistical Methods for Quality Improvement
12(5)
Total Quality Management
17(16)
Quality Philosophy
17(4)
The Link Between Quality and Productivity
21(1)
Quality Costs
22(6)
Legal Aspects of Quality
28(2)
Implementing Quality Improvement
30(3)
PART I STATISTICAL METHODS USEFUL IN QUALITY IMPROVEMENT 33(94)
Modeling Process Quality
34(43)
Describing Variation
35(16)
The Stem and Leaf Plot
35(3)
The Frequency Distribution and Histogram
38(2)
Numerical Summary of Data
40(3)
The Box Plot
43(1)
Sample Computer Output
44(2)
Probability Distributions
46(5)
Important Discrete Distributions
51(6)
The Hypergeometric Distribution
51(1)
The Binomial Distribution
52(3)
The Poisson Distribution
55(1)
The Pascal and Related Distributions
56(1)
Important Continuous Distributions
57(12)
The Normal Distribution
57(5)
The Exponential Distribution
62(3)
The Gamma Distribution
65(2)
The Weibull Distribution
67(2)
Some Useful Approximations
69(2)
The Binomial Approximation to the Hypergeometric
69(1)
The Poisson Approximation to the Binomial
69(1)
The Normal Approximation to the Binomial
70(1)
Comments on Approximations
70(1)
Exercises
71(6)
Inferences About Process Quality
77(50)
Statistics and Sampling Distributions
78(7)
Sampling from a Normal Distribution
79(4)
Sampling from a Bernoulli Distribution
83(1)
Sampling from a Poisson Distribution
84(1)
Estimation of Process Parameters
85(11)
Point Estimation
85(1)
Interval Estimation
86(10)
Hypothesis Testing on Process Parameters
96(23)
Tests on Means, Variance Known
97(3)
The Use of P-Values in Hypothesis Testing
100(1)
Tests on Means of Normal Distributions, Variance Unknown
101(6)
Tests on Variances of Normal Distributions
107(2)
Tests on Binomial Parameters
109(1)
Tests on Poisson Parameters
110(3)
Probability Plotting
113(3)
The Probability of Type II Error
116(3)
Exercises
119(8)
PART II STATISTICAL PROCESS CONTROL 127(348)
Methods and Philosophy of Statistical Process Control
129(50)
Introduction
130(1)
Chance and Assignable Causes of Quality Variation
130(2)
Statistical Basis of the Control Chart
132(18)
Basic Principles
132(6)
Choice of Control Limits
138(2)
Sample Size and Sampling Frequency
140(3)
Rational Subgroups
143(3)
Analysis of Patterns on Control Charts
146(3)
Discussion of Sensitizing Rules for Control Charts
149(1)
The Rest of the ``Magnificent Seven''
150(8)
Implementing SPC
158(1)
An Application of SPC
159(8)
Nonmanufacturing Applications of Statistical Process Control
167(7)
Exercises
174(5)
Control Charts for Variables
179(71)
Introduction
180(1)
Control Charts for x and R
181(30)
Statistical Basis of the Charts
181(5)
Development and Use of x and R Charts
186(15)
Charts Based on Standard Values
201(1)
Interpretation of x and R Charts
202(3)
The Effect of Nonnormality on x and R Charts
205(1)
The Operating-Characteristic Function
206(3)
The Average Run Length for the x Chart
209(2)
Control Charts for x and S
211(10)
Construction and Operation of x and S Charts
212(5)
The x and S Control Charts with Variable Sample Size
217(4)
The S2 Control Chart
221(1)
Control Charts for Individual Measurements
221(8)
Summary of Procedures for x, R, and S Charts
229(1)
Applications of Variables Control Charts
230(5)
Exercises
235(15)
Control Charts for Attributes
250(63)
Introduction
251(1)
The Control Chart for Fraction Nonconforming
251(24)
Development and Operation of the Control Chart
253(12)
Variable Sample Size
265(5)
Nonmanufacturing Applications
270(1)
The Operating-Characteristic Function and Average Run Length Calculations
271(4)
Control Charts for Nonconformities (Defects)
275(19)
Procedures with Constant Sample Size
275(10)
Procedures with Variable Sample Size
285(2)
Demerit Systems
287(2)
The Operating-Characteristic Function
289(1)
Dealing with Low Defect Levels
290(4)
Nonmanufacturing Applications
294(1)
Choice Between Attributes and Variables Control Charts
294(5)
Guidelines for Implementing Control Charts
299(5)
Exercises
304(9)
Cumulative Sum and Exponentially Weighted Moving Average Control Charts
313(35)
The Cumulative-Sum Control Chart
314(18)
Basic Principles: The Cusum Control Chart for Monitoring the Process Mean
314(3)
The Tabular or Algorithmic Cusum for Monitoring the Process Mean
317(5)
Recommendations for Cusum Design
322(2)
The Standardized Cusum
324(1)
Rational Subgroups
325(1)
Improving Cusum Responsiveness for Large Shifts
325(1)
The Fast Initial Response or Headstart Feature
325(2)
One-Sided Cusums
327(1)
A Cusum for Monitoring Process Variability
328(1)
Cusums for Other Sample Statistics
329(1)
The V-Mask Procedure
329(3)
The Exponentially Weighted Moving-Average Control Chart
332(9)
The Exponentially Weighted Moving-Average Control Chart for Monitoring the Process Mean
333(4)
Design of an EWMA Control Chart
337(2)
Rational Subgroups
339(1)
Extensions of the EWMA
339(2)
The Moving Average Control Chart
341(3)
Exercises
344(4)
Other Statistical Process Control Techniques
348(82)
Statistical Process Control for Short Production Runs
349(5)
x and R Charts for Short Production Runs
349(3)
Attribute Control Charts for Short Production Runs
352(1)
Other Methods
353(1)
Modified and Acceptance Control Charts
354(4)
Modified Control Limits for the x Chart
354(3)
Acceptance Control Charts
357(1)
Group Control Charts for Multiple-Stream Processes
358(2)
Multivariate Quality Control
360(14)
Monitoring of Means
362(10)
Monitoring Process Variability
372(2)
SPC with Correlated Data
374(12)
Interfacing Statistical Process Control and Engineering Process Control
386(13)
Process Monitoring and Process Regulation
386(9)
Combining SPC and EPC
395(4)
Economic Design of Control Charts
399(14)
Designing a Control Chart
399(1)
Process Characteristics
399(1)
Cost Parameters
400(2)
Early Work and Semi-Economic Design
402(1)
An Economic Model of the x Control Chart
403(9)
Other Work
412(1)
Overview of Other Procedures
413(8)
Tool Wear
413(1)
Control Charts Based on Other Sample Statistics
414(1)
Adaptive Schemes
415(2)
Selecting the Optimum Target Value for a Process
417(2)
Fill Control
419(1)
Precontrol
419(2)
Exercises
421(9)
Process Capability Analysis
430(45)
Introduction
431(2)
Process-Capability Analysis Using a Histogram or a Probability Plot
433(5)
Using the Histogram
433(1)
Probability Plotting
434(4)
Process Capability Ratios
438(13)
Use and Interpretation of PCR
438(4)
Process-Capability Ratio for an Off-Center Process
442(2)
Normality and the Process Capability Ratio
444(1)
More About Process Centering
444(3)
Confidence Intervals and Tests on Process Capability Ratios
447(4)
Process-Capability Analysis Using a Control Chart
451(2)
Process-Capability Analysis Using Designed Experiments
453(2)
Gage and Measurement System Capability Studies
455(6)
Setting Specification Limits on Discrete Components
461(6)
Linear Combinations
461(4)
Nonlinear Combinations
465(2)
Estimating the Natural Tolerance Limits of a Process
467(3)
Tolerance Limits Based on the Normal Distribution
468(1)
Nonparametric Tolerance Limits
469(1)
Exercises
470(5)
PART III PROCESS DESIGN AND IMPROVEMENT WITH DESIGNED EXPERIMENTS 475(130)
The Fundamentals of Experimental Design
477(35)
What is Experimental Design?
478(1)
Examples of Designed Experiments in Quality and Process Improvement
479(4)
Experiments with One Factor
483(16)
An Example
483(2)
The Analysis of Variance
485(5)
Residual Analysis
490(1)
Comparison of Individual Means
491(3)
Using the Computer
494(2)
A Components-of-Variance Model
496(3)
Blocking and Nuisance Factors
499(7)
The Randomized Block Design
499(5)
Residual Analysis
504(2)
Guidelines for Designing Experiments
506(2)
Exercises
508(4)
Factorial and Fractional Factorial Experiments for Process Design and Improvement
512(60)
Factorial Experiments
513(12)
An Example
517(1)
Statistical Analysis
517(6)
Residual Analysis
523(2)
The 2k Factorial Design
525(30)
The 22 Design
525(7)
The 2k Design for k ≥ 3 Factors
532(13)
A Single Replicate of the 2k Design
545(4)
Addition of Center Points to the 2k Design
549(4)
Blocking and Confounding in the 2k Design
553(2)
Fractional Replication of the 2k Design
555(14)
The One-Half Fraction of the 2k
555(7)
Smaller Fractions: The 2k-p Fractional Factorial Design
562(7)
Exercises
569(3)
Process Optimization with Designed Experiments
572(33)
Response Surface Methods and Designs
573(10)
The Method of Steepest Ascent
575(3)
Analysis of a Second-Order Response Surface
578(5)
Evolutionary Operation
583(6)
Taguchi's Contributions to Quality Engineering
589(12)
The Taguchi Philosophy
590(1)
The Taguchi Approach to Parameter Design
591(9)
Improved Robust Parameter Design
600(1)
Exercises
601(4)
PART IV ACCEPTANCE SAMPLING 605(1)
Lot-by-Lot Acceptance Sampling for Attributes
606(46)
The Acceptance Sampling Problem
607(6)
Advantages and Disadvantages of Sampling
608(1)
Types of Sampling Plans
609(1)
Lot Formation
610(1)
Random Sampling
610(1)
Guidelines for Using Acceptance Sampling
611(2)
Single-Sampling Plans for Attributes
613(12)
Definition of a Single-Sampling Plan
613(1)
The OC Curve
613(6)
Designing a Single-Sampling Plan with a Specified OC Curve
619(2)
Rectifying Inspection
621(4)
Double, Multiple, and Sequential Sampling
625(11)
Double-Sampling Plans
625(7)
Multiple-Sampling Plans
632(1)
Sequential-Sampling Plans
632(4)
Military Standard 105E (ANSI/ASQC Z1.4, ISO 2859)
636(9)
Description of the Standard
636(2)
Procedure
638(5)
Discussion
643(2)
The Dodge-Romig Sampling Plans
645(4)
AOQL Plans
646(2)
LTPD Plans
648(1)
Estimation of Process Average
649(1)
Exercises
649(3)
Other Acceptance Sampling Techniques
652(1)
Acceptance Sampling by Variables
653(3)
Advantages and Disadvantages of Variables Sampling
653(1)
Types of Sampling Plans Available
654(1)
Caution in the Use of Variables Sampling
655(1)
Designing a Variables Sampling Plan with a Specified OC Curve
656(3)
MIL STD 414 (ANSI/ASQC Z1.9)
659(5)
General Description of the Standard
659(1)
Use of the Tables
660(3)
Discussion of MIL STD 414 and ANSI/ASQC Z1.9
663(1)
Other Variables Sampling Procedures
664(1)
Sampling by Variables to Give Assurance Regarding the Lot or Process Mean
664(1)
Sequential Sampling by Variables
665(1)
Chain Sampling
665(2)
Continuous Sampling
667(4)
CSP-1
668(2)
Other Continuous Sampling Plans
670(1)
Skip-Lot Sampling Plans
671(4)
Exercises
675
APPENDIX A-1
I Cumulative Poisson Distribution
A-3
II Cumulative Standard Normal Distribution
A-6
III Percentage Points of the X2 Distribution
A-8
IV Percentage Points of the t Distribution
A-9e:
V Percentage Points of the F Distribution
A-10
VI Factors for Constructing Variables Control Charts
A-15
VII Factors for Two-Sided Normal Tolerance Limits
A-16
VIII Factors for One-Sided Normal Tolerance Limits
A-17
IX Random Numbers
A-18
Bibliography B-1
Answers to Selected Exercises ANS-1
Index I-1

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