Statistical tools for simulation practitioners:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1987
|
| Edition: | 1. print. |
| Series: | Statistics
76 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 429 S. |
| ISBN: | 0824773330 |
Staff View
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| adam_text | Titel: Statistical tools for simulation practitioners
Autor: Kleijnen, Jack P. C
Jahr: 1987
Contents Preface v Part I: RUNLENGTH AND CONFIDENCE INTERVALS 1. Introduction 3 2. Terminating Simulations and Elementary Statistics 8 3. Assumptions of the t Statistic, and Alternatives 14 3.1 Independence 14 3.2 Common variance and mean 16 3.3 Normality 16 3.4 Robustness of the t statistic 18 3.5 Distribution-free statistics 23 3.6 Robust procedures 26 3.7 Conclusion 27 4. Responses Other Than the Mean 28 4.1 Introduction 28 4.2 Difference of two means: Classical procedures 28 4.3 Differences of two means: Assumptions and alternatives 32 4.4 Variances 35 4.5 Quantiles or percentiles 36 4.6 Percentage or proportion 39 4.7 Distribution F(x) 41 4.8 Multiple criteria and simultaneous inference 41 4.9 Subset selection 43 5. Sample Size or Runlength 46 5.1 Introduction 46 5.2 Estimating a single mean 47 5.3 Estimating responses other than single mean 50 5.4 Hypothesis testing 51 5.5 Sequential likelihood ratio test 54 5.6 Multiple ranking procedures 55 6. Elementary Steady-State Concepts 58 ix
X Contents 7. Analyzing Nonterminating Simulations 63 7.1 Replicated runs 63 7.2 Independent sub runs of fixed length: Batching 65 7.3 Independent cycles: Renewal approach 69 7.4 Reducing nonnormality: Grouping 76 7.5 Jackknifing 77 7.6 Other approaches 78 7.7 Responses other than the mean 79 8. Applications 84 Appendixes 87 1 . Elementary statistical concepts 87 2. Goodness-of-fit tests 94 3. Confidence interval based on sign test 95 4. Behrens-Fisher problem: a^ 2 * 96 5. Wileoxon signed rank test 97 6. Distribution-free test for a^ 2 = 02 2 98 7. Tests for two correlated sample variances __ 98 8. Transformations for constant variance 99 9. Bonferroni inequality 100 10. Subset procedures 101 11. Double-sampling procedure for quantile estimation 102 12. Sample size for estimating 6 = n i — v 2 105 13. Sample size in testing approach 106 14. Sequential likelihood ratio test 108 15. SPRT-like selection procedure 109 16. Schruben, Singh, and Tierney (1982) test for initialization bias 110 17. Renewal approach for various responses 111 Exercises 113 Notes 119 Solutions : to Exercises 128 PART II: STRATEGIC ISSUES A. REGRESSION ANALYSIS 9. Introduction 133 10. Types of Variables 135 10.1 Measurement scales 138 10.2 Risk and sensitivity analysis 143 10.3 Optimization and what-if 145 11. Metamodeling 147 12. Basic Regression Analysis 151 13. Least Squares: Assumptions and Alternatives 158 13.1 Collinear matrix X 158 13.2 Linear model 160 13.3 Constant variances 161
Contents xi 13.4 Independence 169 13.5 Normality 175 13.6 Specification and validation 185 14. Revising False Metamodels 197 14.1 Transformations 197 14.2 Higher order models 198 14.3 Smaller domain 200 15. Optimization of Simulated Systems 202 15.1 Response surface methodology: Basics 202 15.2 Alternative methods, and applications 205 16. Miscellaneous 207 16.1 Sensitivity analysis: When (not) to use it 207 16.2 Sample size 207 16.3 Numerical aspects 209 16.4 Mean squared error versus minimum bias 209 17. Applications 210 17.1 Survey 21? 17.2 Case study: Rotterdam harbor 210 17.3 Case study: Keypunching at the Tilburg computer center 214 18. Summary 217 Appendixes 220 18. Coding of variables 220 19. Risk analysis on regression models 221 20. Inverse regression in control problems 224 21. Tests for common variances 225 22. M/M/l queues and common random numbers 227 23. Rank regression 228 24. Lack-of-fit tests 229 Exercises 234 Notes 239 Solutions to Exercises 251 B. EXPERIMENTAL DESIGN 19. Introduction 259 20. An Example 262 20.1 One factor at a time 264 20.2 All combinations of factor levels 267 20.3 Incomplete factorial: 2^*1 design 269 21. The Classical Model 272 21.1 Two-level factors 273 21.2 Two or more levels 275 22. Interactions 280 22.1 Quantitative factors 280 22.2 Qualitative factors 280 22.3 Qualitative factors at two levels only 282
XÜ Contents 23. Analysis: Tests 285 23.1 ANOVA sums of squares 286 23.2 Replication 289 23.3 Assumptions 291 23.4 Applications in simulation 292 24. Constructing 2^ P Designs 294 24.1 The 2^ ^ example 294 24.2 The 2 designs 295 24.3 The z P designs 296 24.4 Saturated 2^ P designs 298 25. Resolution III, IV, and V Designs 301 25.1 Resolution III designs 301 25.2 Resolution IV designs 303 25.3 Resolution V designs 309 26. Response Surface Designs 312 26.1 Central composite design 312 26.2 Other RSM designs 314 27. Other Designs and Applications — 317 28. Too Many Factors: Screening 320 28.1 Random designs 321 28.2 Group-screening designs 323 29. Stagewise Experimentation 329 30. Final Evaluation 334 Appendixes 341 25. Scheffé s S procedure 341 26. Linear transformations in experimental designs 341 Exercises 346 Notes 351 Solutions to Exercises 358 References 364 Author Index 409 Subject Index 421
|
| adam_txt |
Titel: Statistical tools for simulation practitioners
Autor: Kleijnen, Jack P. C
Jahr: 1987
Contents Preface v Part I: RUNLENGTH AND CONFIDENCE INTERVALS 1. Introduction 3 2. Terminating Simulations and Elementary Statistics 8 3. Assumptions of the t Statistic, and Alternatives 14 3.1 Independence 14 3.2 Common variance and mean 16 3.3 Normality 16 3.4 Robustness of the t statistic 18 3.5 Distribution-free statistics 23 3.6 Robust procedures 26 3.7 Conclusion 27 4. Responses Other Than the Mean 28 4.1 Introduction 28 4.2 Difference of two means: Classical procedures 28 4.3 Differences of two means: Assumptions and alternatives 32 4.4 Variances 35 4.5 Quantiles or percentiles 36 4.6 Percentage or proportion 39 4.7 Distribution F(x) 41 4.8 Multiple criteria and simultaneous inference 41 4.9 Subset selection 43 5. Sample Size or Runlength 46 5.1 Introduction 46 5.2 Estimating a single mean 47 5.3 Estimating responses other than single mean 50 5.4 Hypothesis testing 51 5.5 Sequential likelihood ratio test 54 5.6 Multiple ranking procedures 55 6. Elementary Steady-State Concepts 58 ix
X Contents 7. Analyzing Nonterminating Simulations 63 7.1 Replicated runs 63 7.2 "Independent" sub runs of fixed length: Batching 65 7.3 Independent cycles: Renewal approach 69 7.4 Reducing nonnormality: Grouping 76 7.5 Jackknifing 77 7.6 Other approaches 78 7.7 Responses other than the mean 79 8. Applications 84 Appendixes 87 1 . Elementary statistical concepts 87 2. Goodness-of-fit tests 94 3. Confidence interval based on sign test 95 4. Behrens-Fisher problem: a^ 2 * 96 5. Wileoxon signed rank test 97 6. Distribution-free test for a^ 2 = 02 2 98 7. Tests for two correlated sample variances _ 98 8. Transformations for constant variance 99 9. Bonferroni inequality 100 10. Subset procedures 101 11. Double-sampling procedure for quantile estimation 102 12. Sample size for estimating 6 = n i — v 2 105 13. Sample size in testing approach 106 14. Sequential likelihood ratio test 108 15. SPRT-like selection procedure 109 16. Schruben, Singh, and Tierney (1982) test for initialization bias 110 17. Renewal approach for various responses 111 Exercises 113 Notes 119 Solutions : to Exercises 128 PART II: STRATEGIC ISSUES A. REGRESSION ANALYSIS 9. Introduction 133 10. Types of Variables 135 10.1 Measurement scales 138 10.2 Risk and sensitivity analysis 143 10.3 Optimization and what-if 145 11. Metamodeling 147 12. Basic Regression Analysis 151 13. Least Squares: Assumptions and Alternatives 158 13.1 Collinear matrix X 158 13.2 Linear model 160 13.3 Constant variances 161
Contents xi 13.4 Independence 169 13.5 Normality 175 13.6 Specification and validation 185 14. Revising False Metamodels 197 14.1 Transformations 197 14.2 Higher order models 198 14.3 Smaller domain 200 15. Optimization of Simulated Systems 202 15.1 Response surface methodology: Basics 202 15.2 Alternative methods, and applications 205 16. Miscellaneous 207 16.1 Sensitivity analysis: When (not) to use it 207 16.2 Sample size 207 16.3 Numerical aspects 209 16.4 Mean squared error versus minimum bias 209 17. Applications 210 17.1 Survey 21? 17.2 Case study: Rotterdam harbor 210 17.3 Case study: Keypunching at the Tilburg computer center 214 18. Summary 217 Appendixes 220 18. Coding of variables 220 19. Risk analysis on regression models 221 20. Inverse regression in control problems 224 21. Tests for common variances 225 22. M/M/l queues and common random numbers 227 23. Rank regression 228 24. Lack-of-fit tests 229 Exercises 234 Notes 239 Solutions to Exercises 251 B. EXPERIMENTAL DESIGN 19. Introduction 259 20. An Example 262 20.1 One factor at a time 264 20.2 All combinations of factor levels 267 20.3 Incomplete factorial: 2^*1 design 269 21. The Classical Model 272 21.1 Two-level factors 273 21.2 Two or more levels 275 22. Interactions 280 22.1 Quantitative factors 280 22.2 Qualitative factors 280 22.3 Qualitative factors at two levels only 282
XÜ Contents 23. Analysis: Tests 285 23.1 ANOVA sums of squares 286 23.2 Replication 289 23.3 Assumptions 291 23.4 Applications in simulation 292 24. Constructing 2^'P Designs 294 24.1 The 2^ ^ example 294 24.2 The 2 designs 295 24.3 The z P designs 296 24.4 Saturated 2^"P designs 298 25. Resolution III, IV, and V Designs 301 25.1 Resolution III designs 301 25.2 Resolution IV designs 303 25.3 Resolution V designs 309 26. Response Surface Designs 312 26.1 Central composite design 312 26.2 Other RSM designs 314 27. Other Designs and Applications — 317 28. Too Many Factors: Screening 320 28.1 Random designs 321 28.2 Group-screening designs 323 29. Stagewise Experimentation 329 30. Final Evaluation 334 Appendixes 341 25. Scheffé's S procedure 341 26. Linear transformations in experimental designs 341 Exercises 346 Notes 351 Solutions to Exercises 358 References 364 Author Index 409 Subject Index 421 |
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| spelling | Kleijnen, Jack P. C. 1940- Verfasser (DE-588)130618365 aut Statistical tools for simulation practitioners Jack P.C. Kleijnen 1. print. New York [u.a.] Dekker 1987 XII, 429 S. txt rdacontent n rdamedia nc rdacarrier Statistics 76 Plan d'expérience ram Simulatie gtt Simulation par ordinateur ram Statistische methoden gtt analyse régression inriac statistique inriac Digital computer simulation Experimental design Signifikanztest (DE-588)4054949-5 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Signifikanztest (DE-588)4054949-5 s DE-604 Simulation (DE-588)4055072-2 s Statistik (DE-588)4056995-0 s 1\p DE-604 Statistics 76 (DE-604)BV000003265 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015371571&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kleijnen, Jack P. C. 1940- Statistical tools for simulation practitioners Statistics Plan d'expérience ram Simulatie gtt Simulation par ordinateur ram Statistische methoden gtt analyse régression inriac statistique inriac Digital computer simulation Experimental design Signifikanztest (DE-588)4054949-5 gnd Statistik (DE-588)4056995-0 gnd Simulation (DE-588)4055072-2 gnd |
| subject_GND | (DE-588)4054949-5 (DE-588)4056995-0 (DE-588)4055072-2 |
| title | Statistical tools for simulation practitioners |
| title_auth | Statistical tools for simulation practitioners |
| title_exact_search | Statistical tools for simulation practitioners |
| title_exact_search_txtP | Statistical tools for simulation practitioners |
| title_full | Statistical tools for simulation practitioners Jack P.C. Kleijnen |
| title_fullStr | Statistical tools for simulation practitioners Jack P.C. Kleijnen |
| title_full_unstemmed | Statistical tools for simulation practitioners Jack P.C. Kleijnen |
| title_short | Statistical tools for simulation practitioners |
| title_sort | statistical tools for simulation practitioners |
| topic | Plan d'expérience ram Simulatie gtt Simulation par ordinateur ram Statistische methoden gtt analyse régression inriac statistique inriac Digital computer simulation Experimental design Signifikanztest (DE-588)4054949-5 gnd Statistik (DE-588)4056995-0 gnd Simulation (DE-588)4055072-2 gnd |
| topic_facet | Plan d'expérience Simulatie Simulation par ordinateur Statistische methoden analyse régression statistique Digital computer simulation Experimental design Signifikanztest Statistik Simulation |
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