An introduction to error analysis: the study of uncertainties in physical measurements
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Sausalito, California
University Science Books
1997
|
| Ausgabe: | 2. edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 327 Seiten graph. Darst. |
| ISBN: | 9780935702750 9780935702422 093570275X |
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| adam_text | AN INTRODUCTION TO ERROR ANALYSIS THE STUDY OF UNCERTAINTIES IN PHYSICAL
MEASUREMENTS SECOND EDITION JOHN R.TAYLOR PROFESSOR OF PHYSICS
UNIVERSITY OF COLORADO * UNIVERSITY SCIENCE BOOKS SAUSALITO, CALIFORNIA
CONTENTS PREFACE TO THE SECOND EDITION XI PREFACE TO THE FIRST EDITION
XV PARTI CHAPTER I. PRELIMINARY DESCRIPTION OF ERROR ANALYSIS 3 I. I
ERRORS AS UNCERTAINTIES 3 1.2 INEVITABILITY OF UNCERTAINTY 3 1.3
IMPORTANCE OF KNOWING THE UNCERTAINTIES 5 1.4 MORE EXAMPLES 6 1.5
ESTIMATING UNCERTAINTIES WHEN READING SCALES 8 1.6 ESTIMATING
UNCERTAINTIES IN REPEATABLE MEASUREMENTS 10 CHAPTER 2. HOW TO REPORT AND
USE UNCERTAINTIES 13 2.1 BEST ESTIMATE UNCERTAINTY 13 2.2 SIGNIFICANT
FIGURES 14 2.3 DISCREPANCY 16 2.4 COMPARISON OF MEASURED AND ACCEPTED
VALUES 18 2.5 COMPARISON OF TWO MEASURED NUMBERS 20 2.6 CHECKING
RELATIONSHIPS WITH A GRAPH 24 2.7 FRACTIONAL UNCERTAINTIES 28 2.8
SIGNIFICANT FIGURES AND FRACTIONAL UNCERTAINTIES 30 2.9 MULTIPLYING TWO
MEASURED NUMBERS 31 PROBLEMS FOR CHAPTER 2 35 CHAPTER 3. PROPAGATION OF
UNCERTAINTIES 4 5 3.1 UNCERTAINTIES IN DIRECT MEASUREMENTS 46 3.2 THE
SQUARE-ROOT RULE FOR A COUNTING EXPERIMENT 48 3.3 SUMS AND DIFFERENCES;
PRODUCTS AND QUOTIENTS 49 3.4 TWO IMPORTANT SPECIAL CASES 54 3.5
INDEPENDENT UNCERTAINTIES IN A SUM 57 3.6 MORE ABOUT INDEPENDENT
UNCERTAINTIES 60 3.7 ARBITRARY FUNCTIONS OF ONE VARIABLE 63 3.8
PROPAGATION STEP BY STEP 66 3.9 EXAMPLES 68 3.10 A MORE COMPLICATED
EXAMPLE 71 3.11 GENERAL FORMULA FOR ERROR PROPAGATION 73 PROBLEMS FOR
CHAPTER 3 79 CHAPTER 4. STATISTICAL ANALYSIS OF RANDOM UNCERTAINTIES 93
4.1 RANDOM AND SYSTEMATIC ERRORS 94 VII VIII INTRODUCTION TO ERROR
ANALYSIS 4.2 THE MEAN AND STANDARD DEVIATION 97 4.3 THE STANDARD
DEVIATION AS THE UNCERTAINTY IN A SINGLE MEASUREMENT 101 4.4 THE
STANDARD DEVIATION OF THE MEAN 102 4.5 EXAMPLES 104 4.6 SYSTEMATIC
ERRORS 106 PROBLEMS FOR CHAPTER 4 1 10 CHAPTER 5. THE NORMAL
DISTRIBUTION 121 5.1 HISTOGRAMS AND DISTRIBUTIONS 122 5.2 LIMITING
DISTRIBUTIONS 126 5.3 THE NORMAL DISTRIBUTION 129 5.4 THE STANDARD
DEVIATION AS 68% CONFIDENCE LIMIT 135 5.5 JUSTIFICATION OF THE MEAN AS
BEST ESTIMATE 137 5.6 JUSTIFICATION OF ADDITION IN QUADRATURE 141 5.7
STANDARD DEVIATION OF THE MEAN 147 5.8 ACCEPTABILITY OF A MEASURED
ANSWER 149 PROBLEMS FOR CHAPTER 5 1 54 PART II CHAPTER 6. REJECTION OF
DATA 165 6.1 THE PROBLEM OF REJECTING DATA 165 6.2 CHAUVENET S CRITERION
166 6.3 DISCUSSION 169 PROBLEMS FOR CHAPTER 6 170 CHAPTER 7. WEIGHTED
AVERAGES 173 7.1 THE PROBLEM OF COMBINING SEPARATE MEASUREMENTS 173 7.2
THE WEIGHTED AVERAGE 174 7.3 AN EXAMPLE 176 PROBLEMS FOR CHAPTER 7 1 78
CHAPTER 8. LEAST-SQUARES FITTING 181 8.1 DATA THAT SHOULD FIT A STRAIGHT
LINE 181 8.2 CALCULATION OF THE CONSTANTS A AND * 182 8.3 UNCERTAINTY IN
THE MEASUREMENTS OF * 186 8.4 UNCERTAINTY IN THE CONSTANTS A AND * 188
8.5 AN EXAMPLE 190 8.6 LEAST-SQUARES FITS TO OTHER CURVES 193 PROBLEMS
FOR CHAPTER 8 199 CHAPTER 9. COVARIANCE AND CORRELATION 209 9.1 REVIEW
OF ERROR PROPAGATION 209 9.2 COVARIANCE IN ERROR PROPAGATION 211 9.3
COEFFICIENT OF LINEAR CORRELATION 215 9.4 QUANTITATIVE SIGNIFICANCE OF R
218 9.5 EXAMPLES 220 PROBLEMS FOR CHAPTER 9 222 CONTENTS CHAPTER 10. THE
BINOMIAL DISTRIBUTION 227 10.1 DISTRIBUTIONS 227 10.2 PROBABILITIES IN
DICE THROWING 228 10.3 DEFINITION OF THE BINOMIAL DISTRIBUTION 228 10.4
PROPERTIES OF THE BINOMIAL DISTRIBUTION 231 10.5 THE GAUSS DISTRIBUTION
FOR RANDOM ERRORS 235 10.6 APPLICATIONS; TESTING OF HYPOTHESES 236
PROBLEMS FOR CHAPTER 10 241 CHAPTER 11. THE POISSON DISTRIBUTION 245
11.1 DEFINITION OF THE POISSON DISTRIBUTION 245 11.2 PROPERTIES OF THE
POISSON DISTRIBUTION 249 11.3 APPLICATIONS 252 11.4 SUBTRACTING A
BACKGROUND 254 PROBLEMS FOR CHAPTER 11 256 CHAPTER 12. THE CHI-SQUARED
TEST FOR A DISTRIBUTION 261 12.1 INTRODUCTION TO CHI SQUARED 261 12.2
GENERAL DEFINITION OF CHI SQUARED 265 12.3 DEGREES OF FREEDOM AND
REDUCED CHI SQUARED 268 12.4 PROBABILITIES FOR CHI SQUARED 271 12.5
EXAMPLES 274 PROBLEMS FOR CHAPTER 12 278 APPENDIXES 285 APPENDIX A.
NORMAL ERROR INTEGRAL, I 286 APPENDIX B. NORMAL ERROR INTEGRAL, II 288
APPENDIX C. PROBABILITIES FOR CORRELATION COEFFICIENTS 290 APPENDIX D.
PROBABILITIES FOR CHI SQUARED 292 APPENDIX E. TWO PROOFS CONCERNING
SAMPLE STANDARD DEVIATIONS 294 BIBLIOGRAPHY 299 ANSWERS TO QUICK CHECKS
AND ODD-NUMBERED PROBLEMS 301 INDEX 323
|
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| author | Taylor, John Russell 1935- |
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| building | Verbundindex |
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| classification_tum | MAT 661f |
| ctrlnum | (OCoLC)247656054 (DE-599)BVBBV011631453 |
| discipline | Physik Mathematik |
| edition | 2. edition |
| format | Book |
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| indexdate | 2024-07-09T18:13:04Z |
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| isbn | 9780935702750 9780935702422 093570275X |
| language | English |
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| spelling | Taylor, John Russell 1935- Verfasser (DE-588)172413419 aut An introduction to error analysis the study of uncertainties in physical measurements John R. Taylor 2. edition Sausalito, California University Science Books 1997 XVII, 327 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Messfehler (DE-588)4133270-2 gnd rswk-swf Fehlerrechnung (DE-588)4153837-7 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Messung (DE-588)4038852-9 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Fehleranalyse (DE-588)4016608-9 gnd rswk-swf Fehleranalyse (DE-588)4016608-9 s Messung (DE-588)4038852-9 s DE-604 Physik (DE-588)4045956-1 s Fehlerrechnung (DE-588)4153837-7 s Messfehler (DE-588)4133270-2 s Datenanalyse (DE-588)4123037-1 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007837829&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Taylor, John Russell 1935- An introduction to error analysis the study of uncertainties in physical measurements Messfehler (DE-588)4133270-2 gnd Fehlerrechnung (DE-588)4153837-7 gnd Physik (DE-588)4045956-1 gnd Messung (DE-588)4038852-9 gnd Datenanalyse (DE-588)4123037-1 gnd Fehleranalyse (DE-588)4016608-9 gnd |
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| title | An introduction to error analysis the study of uncertainties in physical measurements |
| title_auth | An introduction to error analysis the study of uncertainties in physical measurements |
| title_exact_search | An introduction to error analysis the study of uncertainties in physical measurements |
| title_full | An introduction to error analysis the study of uncertainties in physical measurements John R. Taylor |
| title_fullStr | An introduction to error analysis the study of uncertainties in physical measurements John R. Taylor |
| title_full_unstemmed | An introduction to error analysis the study of uncertainties in physical measurements John R. Taylor |
| title_short | An introduction to error analysis |
| title_sort | an introduction to error analysis the study of uncertainties in physical measurements |
| title_sub | the study of uncertainties in physical measurements |
| topic | Messfehler (DE-588)4133270-2 gnd Fehlerrechnung (DE-588)4153837-7 gnd Physik (DE-588)4045956-1 gnd Messung (DE-588)4038852-9 gnd Datenanalyse (DE-588)4123037-1 gnd Fehleranalyse (DE-588)4016608-9 gnd |
| topic_facet | Messfehler Fehlerrechnung Physik Messung Datenanalyse Fehleranalyse |
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