Encyclopedia and handbook of process capability indices: a comprehensive exposition of quality control measures
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
2006
|
| Schriftenreihe: | Series on quality, reliability & engineering statistics
12 |
| Schlagworte: | |
| Online-Zugang: | Table of contents only Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. 345-374) and index |
| Beschreibung: | XI, 378 S. graph. Darst. 24 cm |
| ISBN: | 9812567593 |
Internformat
MARC
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| 100 | 1 | |a Pearn, W. L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Encyclopedia and handbook of process capability indices |b a comprehensive exposition of quality control measures |c W.L. Pearn ; Samuel Kotz |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 2006 | |
| 300 | |a XI, 378 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Series on quality, reliability & engineering statistics |v 12 | |
| 500 | |a Includes bibliographical references (p. 345-374) and index | ||
| 650 | 4 | |a Fabrication - Contrôle - Méthodes statistiques | |
| 650 | 4 | |a Process control |x Statistical methods | |
| 650 | 0 | 7 | |a Statistik |0 (DE-588)4056995-0 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804137315505799168 |
|---|---|
| adam_text | Contents
About the Authors xi
Introduction 1
1. The Cp Index 7
1.1 Process precision and the Cp index 7
1.2 Estimating and testing Cp based on a single sample 10
1.2.1 Estimation of CP 10
1.2.2 The r-th moment of Cp 11
1.2.3 Statistical properties of the estimated CP 11
1.2.4 Confidence interval for Cp 12
1.2.5 Sample size determination for estimation of CP 14
1.2.6 Hypothesis testing with CP 15
1.3 Estimating and testing Cp based on multiple samples 15
1.3.1 Estimation of CP and its properties 15
1.3.2 Lower confidence bound on CP 17
1.3.3 Hypothesis testing with Cp 18
1.4 Estimating and testing Cp based on (X , R) control
chart samples _ 20
1.4.1 Estimation of Cp based on ( X , R) samples 21
1.4.2 Hypothesis testing for Cp based on ( X , R) samples 23
1.5 Estimating and testing Cp based on (X, S) control chart
samples 25
1.5.1 Estimation of Cp based on ( X , S) samples 25
1.5.2 Hypotheses testing for Cp based on (X , S) samples 27
1.6 A Bayesian approach to assessment of CP 28
2. The Ca Index 31
2.1 Process accuracy and the CQ index 31
2.2 Estimating and testing Ca based on a single sample 33
2.2.1 The first two moments of Ca 34
2.2.2 Confidence interval on Ca 35
vi Encyclopedia and Handbook of Process Capability Indices
2.3 Estimating and testing Ca based on multiple samples 35
2.4 Bayesian-like estimator of Ca 38
3. The Cpk Index 40
3.1 Process capability and the Cpk index 40
3.2 Estimating and testing Cpk based on a single sample 45
3.2.1 The r-th moment of Cpk 46
3.2.2 Distributional properties of Cpk 47
3.2.3 Confidence intervals for Cpk 50
3.2.4 Hypothesis testing with Cpk 55
3.3 Estimating and testing Cpk based on multiple samples 58
3.4 The Bayesian approach to Cpk 61
3.5 The Bayesian-like estimator of Cpk 64
4. The Cpm Index 67
4.1 Process capability and the Cpm index 67
4.2 Estimating and testing Cpm based on one single sample 73
4.2.1 Estimation and distributional properties of estimators 73
4.2.2 Confidence intervals for Cpm 78
4.2.3 Sample size determination for Cpm 83
4.2.4 Hypothesis testing procedure (using Cpm) 86
4.3 Estimating and testing Cpm based on multiple samples 87
4.4 The Bayesian approach to Cpm 90
5. The Loss Indices 95
5.1 Process loss and the Lt index 95
5.2 Estimation of Lpe, Lot, and Le 98
5.2.1 Estimating the process relative inconsistency loss, Lpe 98
5.2.2 Estimation process relative the off-target loss, Lot 101
5.2.3 Estimation of process expected relative loss, Le 103
5.3 Upper confidence bounds of Lpe, Lot, and Le 105
5.3.1 An upper confidence bound on Lpe 105
5.3.2 An upper confidence bound of Lot 106
5.3.3 An upper confidence bound of Le 106
5.4 Testing process capability based on the process loss 107
6. The Cpmk Index 110
6.1 Process capability and the Cpmk index 110
6.2 Estimating and testing Cpmk based on a single sample 117
6.2.1 Estimation and the distribution of the estimated Cpmk 117
6.2.2 Confidence intervals on Cpmt 123
6.2.3 Hypothesis testing with Cpmk 124
Contents
6.3 Estimating and testing Cpmk based on multiple samples 127
6.4 Bayesian-like estimation of Cpmk 130
7. The Spk Index 134
7.1 Process capability and the Spk index 134
7.2 Estimating and testing Spk based on a single sample 136
7.2.1 Estimation of Spk 136
7.2.2 Confidence intervals for Spk 142
7.3 Hypothesis testing with Spk 143
8. The CPU/CPL Index 146
8.1 Process capability and the index CPU/CPL 146
8.2 Estimating and testing CPU/CPL: Based on single sample 148
8.2.1 Estimations of CPU and CPL 148
8.2.2 r-th moment 149
8.2.3 Distribution 150
8.2.4 Testing hypothesis with CPU and CPl 151
8.2.5 Lower confidence bound for CPU / CPL 153
8.3 Estimating and Testing CPU/CPL: Based on multiple samples 154
8.3.1 Estimations of CF(/and CPL based on multiple samples 154
8.3.2 Testing CPUand CPL based on multiple samples 157
8.4 Estimating and Testing CPU/CPL: Bayesian approach with
single sample 158
8.4.1 Bayesian approach to the assessment of CPU and CPL
based on single sample 158
8.4.2 A Bayesian approach to assessment with CPU and CPL
based on multiple samples 160
9. Multi-Process Performance Analysis Chart (MPPAC) 162
9.1 Introduction 162
9.2 The modified Cpk MPPAC 165
9.3 The Cpm MPPAC 169
9.4 The Spk MPPAC 172
9.5 The Le MPPAC 176
10. PCIs with Asymmetric Specification Limits 181
10.1 Introduction 181
10.2 The Cpk index for asymmetric tolerances 182
10.3 The Cpm index for asymmetric tolerances 195
10.4 The Cpn index for asymmetric tolerances 202
10.5 The Cpmk index for asymmetric tolerances 205
10.6 The loss index for asymmetric tolerances 210
viii Encyclopedia and Handbook of Process Capability Indices
11. Supplier Selection Based on PCIs 218
11.1 Introduction 218
11.2 Tseng and Wu s MLR selection rule based on Cp 219
11.3 Chou s approximate selection rule based on Cpll and Cp, 222
11.4 Huang and Lee s approximate selection rule based on Cpm 224
12. Acceptance Sampling Plans Based on PCIs 231
12.1 Introduction 231
12.2 Acceptance sampling plans based on Cvk 237
12.3 Acceptance sampling plans based on Cvm 240
12.4 Acceptance sampling plans based on Cpmk 243
12.5 Acceptance sampling plans based on Cj,uand Cpl 246
13. Process Capability Measures in Presence of Gauge Measurement
Errors 249
13.1 Introduction 249
13.2 Estimating and testing Cp in presence of gauge
measurement errors 252
13.3 Estimating and testing Cpk in presence of gauge
measurement errors 257
13.4 Estimating and testing Cpm in presence of gauge
measurement errors 263
13.5 Estimating and testing Cpmk in presence of gauge
measurement errors 269
13.6 Estimating and testing Cpuand Cpl in presence of gauge
measurement errors 272
14. Process Capability Assessment with Tool Wear 279
14.1 Introduction 279
14.2 A review of various approaches 281
15. Process Capability Assessment for Non-normal Processes 293
15.1 Introduction 293
15.2 A brief review of various approaches 297
15.2.1 Probability plotting approach 297
15.2.2 Clements approach 299
15.2.3 Box-Cox power transformation approach 301
15.2.4 Johnson transformation approach 302
15.2.5 Other quantile transform approaches 303
15.2.6 Distribution-free tolerance intervals approach 304
15.2.7 Flexible index C]tp 305
15.2.8 The Wright s Cs index 307
Contents
15.2.9 A superstructure capability indices CNp(u, v) 309
15.2.10 The Cpc index 313
15.2.11 The (general) Weighted Variance (WV)
method 315
15.2.12 The Weighted Standard Deviation (WSD)
method 320
16. Multivariate Process Capability Indices 326
16.1 Introduction 326
16.2 Multivariate PCIs 328
16.3 Concluding remarks 342
Bibliography 345
Index 375
|
| adam_txt |
Contents
About the Authors xi
Introduction 1
1. The Cp Index 7
1.1 Process precision and the Cp index 7
1.2 Estimating and testing Cp based on a single sample 10
1.2.1 Estimation of CP 10
1.2.2 The r-th moment of Cp 11
1.2.3 Statistical properties of the estimated CP 11
1.2.4 Confidence interval for Cp 12
1.2.5 Sample size determination for estimation of CP 14
1.2.6 Hypothesis testing with CP 15
1.3 Estimating and testing Cp based on multiple samples 15
1.3.1 Estimation of CP and its properties 15
1.3.2 Lower confidence bound on CP 17
1.3.3 Hypothesis testing with Cp 18
1.4 Estimating and testing Cp based on (X , R) control
chart samples _ 20
1.4.1 Estimation of Cp based on ( X , R) samples 21
1.4.2 Hypothesis testing for Cp based on ( X , R) samples 23
1.5 Estimating and testing Cp based on (X, S) control chart
samples 25
1.5.1 Estimation of Cp based on ( X , S) samples 25
1.5.2 Hypotheses testing for Cp based on (X , S) samples 27
1.6 A Bayesian approach to assessment of CP 28
2. The Ca Index 31
2.1 Process accuracy and the CQ index 31
2.2 Estimating and testing Ca based on a single sample 33
2.2.1 The first two moments of Ca 34
2.2.2 Confidence interval on Ca 35
vi Encyclopedia and Handbook of Process Capability Indices
2.3 Estimating and testing Ca based on multiple samples 35
2.4 Bayesian-like estimator of Ca 38
3. The Cpk Index 40
3.1 Process capability and the Cpk index 40
3.2 Estimating and testing Cpk based on a single sample 45
3.2.1 The r-th moment of Cpk 46
3.2.2 Distributional properties of Cpk 47
3.2.3 Confidence intervals for Cpk 50
3.2.4 Hypothesis testing with Cpk 55
3.3 Estimating and testing Cpk based on multiple samples 58
3.4 The Bayesian approach to Cpk 61
3.5 The Bayesian-like estimator of Cpk 64
4. The Cpm Index 67
4.1 Process capability and the Cpm index 67
4.2 Estimating and testing Cpm based on one single sample 73
4.2.1 Estimation and distributional properties of estimators 73
4.2.2 Confidence intervals for Cpm 78
4.2.3 Sample size determination for Cpm 83
4.2.4 Hypothesis testing procedure (using Cpm) 86
4.3 Estimating and testing Cpm based on multiple samples 87
4.4 The Bayesian approach to Cpm 90
5. The Loss Indices 95
5.1 Process loss and the Lt index 95
5.2 Estimation of Lpe, Lot, and Le 98
5.2.1 Estimating the process relative inconsistency loss, Lpe 98
5.2.2 Estimation process relative the off-target loss, Lot 101
5.2.3 Estimation of process expected relative loss, Le 103
5.3 Upper confidence bounds of Lpe, Lot, and Le 105
5.3.1 An upper confidence bound on Lpe 105
5.3.2 An upper confidence bound of Lot 106
5.3.3 An upper confidence bound of Le 106
5.4 Testing process capability based on the process loss 107
6. The Cpmk Index 110
6.1 Process capability and the Cpmk index 110
6.2 Estimating and testing Cpmk based on a single sample 117
6.2.1 Estimation and the distribution of the estimated Cpmk 117
6.2.2 Confidence intervals on Cpmt 123
6.2.3 Hypothesis testing with Cpmk 124
Contents
6.3 Estimating and testing Cpmk based on multiple samples 127
6.4 Bayesian-like estimation of Cpmk 130
7. The Spk Index 134
7.1 Process capability and the Spk index 134
7.2 Estimating and testing Spk based on a single sample 136
7.2.1 Estimation of Spk 136
7.2.2 Confidence intervals for Spk 142
7.3 Hypothesis testing with Spk 143
8. The CPU/CPL Index 146
8.1 Process capability and the index CPU/CPL 146
8.2 Estimating and testing CPU/CPL: Based on single sample 148
8.2.1 Estimations of CPU and CPL 148
8.2.2 r-th moment 149
8.2.3 Distribution 150
8.2.4 Testing hypothesis with CPU and CPl 151
8.2.5 Lower confidence bound for CPU / CPL 153
8.3 Estimating and Testing CPU/CPL: Based on multiple samples 154
8.3.1 Estimations of CF(/and CPL based on multiple samples 154
8.3.2 Testing CPUand CPL based on multiple samples 157
8.4 Estimating and Testing CPU/CPL: Bayesian approach with
single sample 158
8.4.1 Bayesian approach to the assessment of CPU and CPL
based on single sample 158
8.4.2 A Bayesian approach to assessment with CPU and CPL
based on multiple samples 160
9. Multi-Process Performance Analysis Chart (MPPAC) 162
9.1 Introduction 162
9.2 The modified Cpk MPPAC 165
9.3 The Cpm MPPAC 169
9.4 The Spk MPPAC 172
9.5 The Le MPPAC 176
10. PCIs with Asymmetric Specification Limits 181
10.1 Introduction 181
10.2 The Cpk index for asymmetric tolerances 182
10.3 The Cpm index for asymmetric tolerances 195
10.4 The Cpn index for asymmetric tolerances 202
10.5 The Cpmk index for asymmetric tolerances 205
10.6 The loss index for asymmetric tolerances 210
viii Encyclopedia and Handbook of Process Capability Indices
11. Supplier Selection Based on PCIs 218
11.1 Introduction 218
11.2 Tseng and Wu's MLR selection rule based on Cp 219
11.3 Chou's approximate selection rule based on Cpll and Cp, 222
11.4 Huang and Lee's approximate selection rule based on Cpm 224
12. Acceptance Sampling Plans Based on PCIs 231
12.1 Introduction 231
12.2 Acceptance sampling plans based on Cvk 237
12.3 Acceptance sampling plans based on Cvm 240
12.4 Acceptance sampling plans based on Cpmk 243
12.5 Acceptance sampling plans based on Cj,uand Cpl 246
13. Process Capability Measures in Presence of Gauge Measurement
Errors 249
13.1 Introduction 249
13.2 Estimating and testing Cp in presence of gauge
measurement errors 252
13.3 Estimating and testing Cpk in presence of gauge
measurement errors 257
13.4 Estimating and testing Cpm in presence of gauge
measurement errors 263
13.5 Estimating and testing Cpmk in presence of gauge
measurement errors 269
13.6 Estimating and testing Cpuand Cpl in presence of gauge
measurement errors 272
14. Process Capability Assessment with Tool Wear 279
14.1 Introduction 279
14.2 A review of various approaches 281
15. Process Capability Assessment for Non-normal Processes 293
15.1 Introduction 293
15.2 A brief review of various approaches 297
15.2.1 Probability plotting approach 297
15.2.2 Clements' approach 299
15.2.3 Box-Cox power transformation approach 301
15.2.4 Johnson transformation approach 302
15.2.5 Other quantile transform approaches 303
15.2.6 Distribution-free tolerance intervals approach 304
15.2.7 Flexible index C]tp 305
15.2.8 The Wright's Cs index 307
Contents
15.2.9 A superstructure capability indices CNp(u, v) 309
15.2.10 The Cpc index 313
15.2.11 The (general) Weighted Variance (WV)
method 315
15.2.12 The Weighted Standard Deviation (WSD)
method 320
16. Multivariate Process Capability Indices 326
16.1 Introduction 326
16.2 Multivariate PCIs 328
16.3 Concluding remarks 342
Bibliography 345
Index 375 |
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| id | DE-604.BV023071907 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:33:21Z |
| indexdate | 2024-07-09T21:10:20Z |
| institution | BVB |
| isbn | 9812567593 |
| language | English |
| lccn | 2006283583 |
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| physical | XI, 378 S. graph. Darst. 24 cm |
| publishDate | 2006 |
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| publisher | World Scientific |
| record_format | marc |
| series | Series on quality, reliability & engineering statistics |
| series2 | Series on quality, reliability & engineering statistics |
| spelling | Pearn, W. L. Verfasser aut Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures W.L. Pearn ; Samuel Kotz Singapore [u.a.] World Scientific 2006 XI, 378 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Series on quality, reliability & engineering statistics 12 Includes bibliographical references (p. 345-374) and index Fabrication - Contrôle - Méthodes statistiques Process control Statistical methods Statistik (DE-588)4056995-0 gnd rswk-swf Qualitätskontrolle (DE-588)4047968-7 gnd rswk-swf Prozessüberwachung (DE-588)4133922-8 gnd rswk-swf Prozessüberwachung (DE-588)4133922-8 s Qualitätskontrolle (DE-588)4047968-7 s Statistik (DE-588)4056995-0 s DE-604 Kotz, Samuel 1930-2010 Sonstige (DE-588)119529653 oth Series on quality, reliability & engineering statistics 12 (DE-604)BV013222749 12 http://www.loc.gov/catdir/toc/fy0709/2006283583.html Table of contents only HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016275045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pearn, W. L. Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures Series on quality, reliability & engineering statistics Fabrication - Contrôle - Méthodes statistiques Process control Statistical methods Statistik (DE-588)4056995-0 gnd Qualitätskontrolle (DE-588)4047968-7 gnd Prozessüberwachung (DE-588)4133922-8 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4047968-7 (DE-588)4133922-8 |
| title | Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures |
| title_auth | Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures |
| title_exact_search | Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures |
| title_exact_search_txtP | Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures |
| title_full | Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures W.L. Pearn ; Samuel Kotz |
| title_fullStr | Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures W.L. Pearn ; Samuel Kotz |
| title_full_unstemmed | Encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures W.L. Pearn ; Samuel Kotz |
| title_short | Encyclopedia and handbook of process capability indices |
| title_sort | encyclopedia and handbook of process capability indices a comprehensive exposition of quality control measures |
| title_sub | a comprehensive exposition of quality control measures |
| topic | Fabrication - Contrôle - Méthodes statistiques Process control Statistical methods Statistik (DE-588)4056995-0 gnd Qualitätskontrolle (DE-588)4047968-7 gnd Prozessüberwachung (DE-588)4133922-8 gnd |
| topic_facet | Fabrication - Contrôle - Méthodes statistiques Process control Statistical methods Statistik Qualitätskontrolle Prozessüberwachung |
| url | http://www.loc.gov/catdir/toc/fy0709/2006283583.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016275045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013222749 |
| work_keys_str_mv | AT pearnwl encyclopediaandhandbookofprocesscapabilityindicesacomprehensiveexpositionofqualitycontrolmeasures AT kotzsamuel encyclopediaandhandbookofprocesscapabilityindicesacomprehensiveexpositionofqualitycontrolmeasures |