Data reduction and error analysis for the physical sciences:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
McGraw-Hill
2003
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XI, 320 S. graph. Darst. |
| ISBN: | 0072472278 9780072472271 9780071199261 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Data reduction and error analysis for the physical sciences
Autor: Bevington, Philip R
Jahr: 2003
CONTENTS
Preface to the Third Edition ix
Chapter 1 Uncertainties in Measurements 1
1.1 Measuring Errors 1
1.2 Uncertainties 5
1.3 Parent and Sample Distributions 6
1.4 Mean and Standard Deviation of Distributions 12
Chapter 2 Probability Distributions 17
2.1 Binomial Distribution 17
2.2 Poisson Distribution 23
2.3 Gaussian or Normal Error Distribution 27
2.4 Lorentzian Distribution 31
Chapter 3 Error Analysis 36
3.1 Instrumental and Statistical Uncertainties 36
3.2 Propagation of Errors 39
3.3 Specific Error Formulas 41
3.4 Application of Error Equations 46
Chapter 4 Estimates of Mean and Errors 51
4.1 Method of Least Squares 51
4.2 Statistical Fluctuations 60
4.3 Probability Tests 63
4.4 x2 Test of a Distribution 65
Chapter 5 Monte Carlo Techniques 75
5.1 Introduction 75
5.2 Random Numbers 78
vi CONTENTS
5.3 Random Numbers from Probability Distributions 81
5.4 Specific Distributions 84
5.5 Efficient Monte Carlo Generation 94
Chapter 6 Least-Squares Fit to a Straight Line 98
6.1 Dependent and Independent Variables 98
6.2 Method of Least Squares 102
6.3 Minimizing x2 104
6.4 Error Estimation 107
6.5 Some Limitations of the Least-Squares Method 110
6.6 Alternate Fitting Methods 111
Chapter 7 Least-Squares Fit to a Polynomial 116
7.1 Determinant Solution 116
7.2 Matrix Solution 122
7.3 Independent Parameters 127
7.4 Nonlinear Functions 135
Chapter 8 Least-Squares Fit to an Arbitrary Function 142
8.1 Nonlinear Fitting 142
8.2 Searching Parameter Space 148
8.3 Grid-Search Method 151
8.4 Gradient-Search Method 153
8.5 Expansion Methods 156
8.6 The Marquardt Method 161
8.7 Comments 163
Chapter 9 Fitting Composite Curves 168
9.1 Lorentzian Peak on Quadratic Background 168
9.2 Area Determination 170
9.3 Composite Plots 174
Chapter 10 Direct Application of the Maximum-Likelihood
Method 179
10.1 Introduction to Maximum Likelihood 180
10.2 Computer Example 187
Chapter 11 Testing the Fit 194
11.1 x2 Test for Goodness of Fit 194
11.2 Linear-Correlation Coefficient 197
11.3 Multivariable Correlations 201
CONTENTS VU
11.4 FTest 204
11.5 Confidence Intervals 208
11.6 Monte Carlo Tests 212
Appendixes
A Numerical Methods 218
A.l Polynomial Interpolation 218
A.2 Basic Calculus: Differentiation and Integration 222
A.3 Numerical Differentiation and Integration 226
A.4 Cubic Splines 228
A.5 Roots of Nonlinear Equations 231
A.6 Data Smoothing 235
B Matrices 238
B.l Determinants 238
B.2 Solution of Simultaneous Equations by Determinants 243
B.3 Matrix Inversion 245
C Graphs and Tables 248
C.l Gaussian Probability Distribution 248
C.2 Integral of Gaussian Distribution 250
C.3 Linear-Correlation Coefficient 252
C.4 x2 Distribution 253
C.5 F Distribution 259
C.6 Student s t Distribution 259
D Histograms and Graphs 267
D.l Making a Graph 268
D.2 Graphical Estimation of Parameters 269
D.3 Histograms and Frequency Plots 272
D.4 Graphics Routines 274
E Computer Routines in Fortran 275
E.l Routines from Chapter 5 278
E.2 Routines from Chapter 6 281
E.3 Routines from Chapter 7 283
E.4 Routines from Chapter 8 287
E.5 Routines from Chapter 9 294
E.6 Routines from Chapter 10 295
E.7 Routines from Chapter 11 298
VÜi CONTENTS
E.8 Routines from Appendix A 300
E.9 Routines from Appendix B 303
References 307
Answers to Selected Exercises 309
Index 313
|
| any_adam_object | 1 |
| author | Bevington, Philip R. 1933-1980 Robinson, D. Keith |
| author_GND | (DE-588)143417665 |
| author_facet | Bevington, Philip R. 1933-1980 Robinson, D. Keith |
| author_role | aut aut |
| author_sort | Bevington, Philip R. 1933-1980 |
| author_variant | p r b pr prb d k r dk dkr |
| building | Verbundindex |
| bvnumber | BV014497795 |
| callnumber-first | Q - Science |
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| callnumber-search | QA278 |
| callnumber-sort | QA 3278 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 830 UX 1100 |
| classification_tum | MAT 661f MAT 620f |
| ctrlnum | (OCoLC)49719377 (DE-599)BVBBV014497795 |
| dewey-full | 511.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.43 |
| dewey-search | 511.43 |
| dewey-sort | 3511.43 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV014497795 |
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| indexdate | 2024-07-09T19:03:08Z |
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| language | English |
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| physical | XI, 320 S. graph. Darst. |
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| publisher | McGraw-Hill |
| record_format | marc |
| spelling | Bevington, Philip R. 1933-1980 Verfasser (DE-588)143417665 aut Data reduction and error analysis for the physical sciences Philip R. Bevington ; D. Keith Robinson 3. ed. Boston [u.a.] McGraw-Hill 2003 XI, 320 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Dataprocessing gtt Foutenleer gtt Statistiek gtt Statistik Data reduction Error analysis (Mathematics) Least squares Multivariate analysis Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Datenkompression (DE-588)4121121-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Fehlerrechnung (DE-588)4153837-7 gnd rswk-swf Datenauswertung (DE-588)4131193-0 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Fehleranalyse (DE-588)4016608-9 gnd rswk-swf Datenauswertung (DE-588)4131193-0 s Datenkompression (DE-588)4121121-2 s Naturwissenschaften (DE-588)4041421-8 s DE-604 Fehlerrechnung (DE-588)4153837-7 s Fehleranalyse (DE-588)4016608-9 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Physik (DE-588)4045956-1 s 2\p DE-604 3\p DE-604 Datenanalyse (DE-588)4123037-1 s 4\p DE-604 Robinson, D. Keith Verfasser aut http://www.loc.gov/catdir/toc/mh023/2002070896.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883405&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bevington, Philip R. 1933-1980 Robinson, D. Keith Data reduction and error analysis for the physical sciences Dataprocessing gtt Foutenleer gtt Statistiek gtt Statistik Data reduction Error analysis (Mathematics) Least squares Multivariate analysis Naturwissenschaften (DE-588)4041421-8 gnd Datenkompression (DE-588)4121121-2 gnd Mathematik (DE-588)4037944-9 gnd Datenanalyse (DE-588)4123037-1 gnd Fehlerrechnung (DE-588)4153837-7 gnd Datenauswertung (DE-588)4131193-0 gnd Physik (DE-588)4045956-1 gnd Fehleranalyse (DE-588)4016608-9 gnd |
| subject_GND | (DE-588)4041421-8 (DE-588)4121121-2 (DE-588)4037944-9 (DE-588)4123037-1 (DE-588)4153837-7 (DE-588)4131193-0 (DE-588)4045956-1 (DE-588)4016608-9 |
| title | Data reduction and error analysis for the physical sciences |
| title_auth | Data reduction and error analysis for the physical sciences |
| title_exact_search | Data reduction and error analysis for the physical sciences |
| title_full | Data reduction and error analysis for the physical sciences Philip R. Bevington ; D. Keith Robinson |
| title_fullStr | Data reduction and error analysis for the physical sciences Philip R. Bevington ; D. Keith Robinson |
| title_full_unstemmed | Data reduction and error analysis for the physical sciences Philip R. Bevington ; D. Keith Robinson |
| title_short | Data reduction and error analysis for the physical sciences |
| title_sort | data reduction and error analysis for the physical sciences |
| topic | Dataprocessing gtt Foutenleer gtt Statistiek gtt Statistik Data reduction Error analysis (Mathematics) Least squares Multivariate analysis Naturwissenschaften (DE-588)4041421-8 gnd Datenkompression (DE-588)4121121-2 gnd Mathematik (DE-588)4037944-9 gnd Datenanalyse (DE-588)4123037-1 gnd Fehlerrechnung (DE-588)4153837-7 gnd Datenauswertung (DE-588)4131193-0 gnd Physik (DE-588)4045956-1 gnd Fehleranalyse (DE-588)4016608-9 gnd |
| topic_facet | Dataprocessing Foutenleer Statistiek Statistik Data reduction Error analysis (Mathematics) Least squares Multivariate analysis Naturwissenschaften Datenkompression Mathematik Datenanalyse Fehlerrechnung Datenauswertung Physik Fehleranalyse |
| url | http://www.loc.gov/catdir/toc/mh023/2002070896.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883405&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bevingtonphilipr datareductionanderroranalysisforthephysicalsciences AT robinsondkeith datareductionanderroranalysisforthephysicalsciences |