Statistics in engineering: a practical approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London u.a.
Chapman & Hall
1994
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | Chapman & Hall statistics textbook series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 446 S. graph. Darst. |
| ISBN: | 0412492202 |
Internformat
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| 245 | 1 | 0 | |a Statistics in engineering |b a practical approach |c Andrew V. Metcalfe |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a London u.a. |b Chapman & Hall |c 1994 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface ix
1 Why understand statistics ? 1
2 Probability in engineering decisions 4
2.1 Introduction 4
2.2 Defining probability 7
2.3 The addition rule of probability 13
2.4 Conditional probability 15
2.5 Arrangements and choices 21
2.6 Decision trees 23
2.7 Summary 25
Exercises 26
3 Justifying engineering decisions 32
3.1 Presenting data 32
3.2 Summarizing data 43
3.3 Fatigue damage 54
3.4 Shape of distributions 54
3.5 Summary 57
Exercises 59
4 Modelling variability 63
4.1 Discrete probability distributions 63
4.2 Continuous probability distributions 75
4.3 Modelling rainfall 106
4.4 Summary 109
Exercises 113
5 Combining variables 121
5.1 Introduction 121
5.2 Sample covariance and correlation 125
5.3 Joint probability distributions 128
5.4 Population covariance and correlation 135
vi Contents
5.5 Linear combinations of random variables 136
5.6 Distribution of the sample mean 141
5.7 Statistical process control charts 146
5.8 Nonlinear functions of random variables 153
5.9 Summary 155
Exercises 156
6 Precision of estimates 161
6.1 Precision of means 161
6.2 Precision of standard deviations 165
6.3 Comparing standard deviations 166
6.4 Comparing means 167
6.5 Sample size 174
6.6 Proportions 177
6.7 Random breath tests? 183
6.8 Summary 185
Exercises 187
7 Asset management plan 193
7.1 Background 193
7.2 Statistical issues 194
7.3 Sampling scheme 196
7.4 Unit cost formulae 198
7.5 Zone costs 200
7.6 The stratum cost 201
7.7 Total cost of local distribution network 203
7.8 Discussion 205
7.9 Summary 206
8 Making predictions from one variable 208
8.1 Linear regression 208
8.2 Intrinsically linear models 224
8.3 Conditional distributions 226
8.4 Relationship between correlation and regression 234
8.5 Fitting straight lines when both variables are subject to error 236
8.6 Calibration lines 239
8.7 Summary 241
Exercises 243
9 Making predictions from several explanatory variables 248
9.1 Regression on two explanatory variables 248
9.2 Multiple regression model 254
9.3 Categorical variables 263
9.4 Chrome plating of rods for hydraulic machinery 267
Contents vii
9.5 Summary 273
Exercises 276
10 Design of experiments 279
10.1 Evolutionary operation 280
10.2 More than two factors 287
10.3 Comparing several means 300
10.4 Experimental design for welded joints 310
10.5 Summary 316
Exercises 317
11 Modelling variability in time and space 323
11.1 Evaluation of mini roundabouts as a road safety measure 323
11.2 Predicting short term flood risk 341
11.3 Spectral analysis for design of offshore structures 351
11.4 Endnote 358
Appendix A: Mathematical explanations of key results 359
Al Derivation of Poisson distribution 359
A2 Central limit theorem 360
A3 Derivation of EVGI distribution 366
A4 Estimated variance of ratio estimator 367
A5 Multiple regression model 368
A6 DuMouchel s algorithm 379
Appendix B: Reference guide 381
Bl Notation 381
B2 Glossary 383
B3 Problem solving guide 393
B4 Suggested short course 397
Appendix C: Summary of MINITAB commands used in text 399
Appendix D: Data sets 409
Appendix E: Statistical tables 422
Appendix F: Answers to selected exercises 429
References 433
Software references 438
Index 439
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:41:32Z |
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| isbn | 0412492202 |
| language | English |
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| spelling | Metcalfe, Andrew V. Verfasser aut Statistics in engineering a practical approach Andrew V. Metcalfe 1. ed. London u.a. Chapman & Hall 1994 X, 446 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall statistics textbook series Inferencia estatistica larpcal Mathématiques de l'ingénieur ram Méthodes statistiques ram Probabilidade (estatistica) larpcal Ingenieurwissenschaften Engineering mathematics Engineering Statistical methods Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s Ingenieurwissenschaften (DE-588)4137304-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006503846&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Metcalfe, Andrew V. Statistics in engineering a practical approach Inferencia estatistica larpcal Mathématiques de l'ingénieur ram Méthodes statistiques ram Probabilidade (estatistica) larpcal Ingenieurwissenschaften Engineering mathematics Engineering Statistical methods Ingenieurwissenschaften (DE-588)4137304-2 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4137304-2 (DE-588)4056995-0 |
| title | Statistics in engineering a practical approach |
| title_auth | Statistics in engineering a practical approach |
| title_exact_search | Statistics in engineering a practical approach |
| title_full | Statistics in engineering a practical approach Andrew V. Metcalfe |
| title_fullStr | Statistics in engineering a practical approach Andrew V. Metcalfe |
| title_full_unstemmed | Statistics in engineering a practical approach Andrew V. Metcalfe |
| title_short | Statistics in engineering |
| title_sort | statistics in engineering a practical approach |
| title_sub | a practical approach |
| topic | Inferencia estatistica larpcal Mathématiques de l'ingénieur ram Méthodes statistiques ram Probabilidade (estatistica) larpcal Ingenieurwissenschaften Engineering mathematics Engineering Statistical methods Ingenieurwissenschaften (DE-588)4137304-2 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Inferencia estatistica Mathématiques de l'ingénieur Méthodes statistiques Probabilidade (estatistica) Ingenieurwissenschaften Engineering mathematics Engineering Statistical methods Statistik |
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