Statistical process control for real-world applications:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fl.
CRC Press
2011
|
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XXVI, 245 S. graph. Darst. 3 CD-ROMs (12 cm) |
| ISBN: | 9781439820001 |
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MARC
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| 245 | 1 | 0 | |a Statistical process control for real-world applications |c William A. Levinson |
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Record in the Search Index
| _version_ | 1804143556912218112 |
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| adam_text | Titel: Statistical process control for real-world applications
Autor: Levinson, William A.
Jahr: 2011
Contents
Preface: Why This Book?.......................................................................................ix
About the Author...................................................................................................xi
Introduction.........................................................................................................xiii
1 Traditional Control Charts...........................................................................1
Variation and Accuracy...................................................................................1
The Normal Distribution.....................................................................4
Statistical Hypothesis Testing........................................................................6
Control Chart Concepts..................................................................................8
Rational Subgroup................................................................................8
Central Limit Theorem.........................................................................9
Setup and Deployment of Control Charts..................................................10
x-bar/R Chart and x-bar/s Chart.....................................................14
Treatment of Variable Subgroup Sizes.............................................15
Interpretation of x-bar/R and x-bar/s Charts...........................................18
Treatment of Out-of-Control Signals................................................21
SPC and ISO 9001:2008.......................................................................21
X (Individual Measurement) Charts...........................................................22
Average Run Length (ARL)..........................................................................23
z Chart for Sample Standard Normal Deviates.........................................25
The x2 Chart (or s2 Chart) for Sample Standard Deviations.........26
Acceptance Control Chart............................................................................28
Western Electric Zone Tests..........................................................................29
Process Capability and Process Performance............................................32
Goodness-of-Fit Tests....................................................................................34
Quantile-Quantile Plot for Goodness of Fit....................................34
Quantile-Quantile Plot for Sample Variance...................................37
Chi Square Test....................................................................................40
Multiple Attribute Control Charts...............................................................46
Exponentially Weighted Moving Average Chart for Defects.......49
Use of the Exponential Distribution to Track Defects or
Nonconformances..................................................................50
Exercises..........................................................................................................52
Solutions..........................................................................................................53
Endnotes..........................................................................................................56
2 Nonnormal Distributions...........................................................................57
Transformations.............................................................................................57
Square Root Transformation for Random Arrivals........................58
General Procedure for Nonnormal Distributions.....................................61
The Gamma Distribution..............................................................................63
Maximum Likelihood Distribution Fitting......................................63
Bisection Algorithm............................................................................65
Example: Two-Parameter Gamma Distribution.............................67
Two-Parameter Gamma Distribution Fit, Microsoft Excel............72
Three-Parameter Gamma Distribution............................................74
Three-Parameter Gamma Distribution Fit, Microsoft Excel.........76
Control Chart for the Gamma Distribution.....................................80
Spreadsheet Deployment, Chart for Nonnormal Individuals......83
Subgroup Averages of the Gamma Distribution............................86
Average Run Length (ARL), Gamma Distribution........................89
The Weibull Distribution..............................................................................89
Example: Two-Parameter Weibull Distribution..............................91
Three-Parameter Weibull Distribution.............................................95
Samples from the Weibull Distribution...........................................96
The Lognormal Distribution........................................................................98
Measurements with Detection Limits (Censored Data).........................101
Left-Censored Weibull Distribution...............................................102
Distribution Fitting by Response Surface Methods.....................106
Left-Censored Gamma Distribution...............................................112
Exercises........................................................................................................112
Solutions........................................................................................................115
Endnotes........................................................................................................121
3 Range Charts for Nonnormal Distributions........................................123
Traditional Range Charts............................................................................123
Range Charts with Exact Control Limits..................................................124
Range Chart for the Exponential Distribution..............................124
Exact Control Limits for the Range Chart, Normal
Distribution....................................................................125
Romberg Integration.........................................................................130
Average Run Length, Range Chart.................................................132
Average Run Length, s Chart..........................................................132
Range Charts for Nonnormal Distributions............................................134
Range Chart for the Gamma Distribution.....................................135
Range Chart for the Chi Square Distribution................................138
Range Chart for the Weibull Distribution.....................................139
Exercises........................................................................................................140
Solutions........................................................................................................142
4 Nested Normal Distributions..................................................................145
Variance Components: Two Levels of Nesting........................................145
Batch versus Single Unit Processing..............................................148
Exercise..........................................................................................................149
Solution..........................................................................................................149
5 Process Performance Indices....................................................................151
Process Performance Index for Nonnormal Distributions....................151
Confidence Limits for Normal Process Performance Indices................152
Confidence Limits for Pp..................................................................153
Confidence Limit for PPL and PPU................................................154
Confidence Limit for PPL and PPLI in Microsoft Excel...............157
Confidence Limit for P k...................................................................159
(1) Bivariate Noncentral t Distribution Method..............163
(2) Wald and Wolfowitz Procedure...................................163
(3) An Approximation That Improves with
Increasing Sample Size........................................163
(4) Another Approximation That Improves with
Larger Samples.....................................................163
Confidence Limits for Nonnormal Process Performance Indices.........164
Confidence Interval for Population Fraction P,
Weibull Distribution............................................................166
Confidence Interval for Survivor Function
(or Nonconforming Fraction).............................................169
Gamma Distribution; Confidence Interval for
Nonconforming Fraction....................................................175
Exercise..........................................................................................................180
Solution..........................................................................................................180
Endnotes........................................................................................................180
6 The Effect of Gage Capability..................................................................181
Gage Accuracy and Variation.....................................................................181
Gage Capability.................................................................................183
Suppression of Repeatability Variation..........................................183
Gage Capability and Statistical Process Control.....................................184
Gage Capability and Process Capability..................................................185
Gage Capability and Outgoing Quality....................................................186
Exercises........................................................................................................192
Solutions........................................................................................................193
7 Multivariate Systems.................................................................................197
Multivariate Normal Distribution.............................................................197
Covariance and Correlation Matrices............................................199
d2 and T2 Charts.................................................................................201
Multivariate Control Chart.........................................................................203
Deployment to a Spreadsheet: Principal Component Method.............207
Principal Components......................................................................208
d2 Chart from Standardized or Mean-Centered Principal
Components..........................................................................210
Multivariate Process Performance Index.................................................211
Control Charts for the Covariance Matrix................................................213
Generalized Variance Chart.............................................................214
W Chart or S2 Chart..........................................................................214
G Chart...............................................................................................215
The RG Chart.....................................................................................219
Endnotes........................................................................................................220
Glossary...............................................................................................................223
Appendix A: Control Chart Factors...............................................................225
Appendix B: Simulation and Modeling........................................................227
Appendix C: Numerical Methods..................................................................233
References...........................................................................................................237
Index.....................................................................................................................241
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| indexdate | 2024-07-09T22:49:33Z |
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| isbn | 9781439820001 |
| language | English |
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| spelling | Levinson, William A. Verfasser aut Statistical process control for real-world applications William A. Levinson Boca Raton, Fl. CRC Press 2011 XXVI, 245 S. graph. Darst. 3 CD-ROMs (12 cm) txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020774376&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Levinson, William A. Statistical process control for real-world applications |
| title | Statistical process control for real-world applications |
| title_auth | Statistical process control for real-world applications |
| title_exact_search | Statistical process control for real-world applications |
| title_full | Statistical process control for real-world applications William A. Levinson |
| title_fullStr | Statistical process control for real-world applications William A. Levinson |
| title_full_unstemmed | Statistical process control for real-world applications William A. Levinson |
| title_short | Statistical process control for real-world applications |
| title_sort | statistical process control for real world applications |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020774376&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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