Exact statistical methods for data analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1995
|
| Schriftenreihe: | Springer series in statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 316 - 324 |
| Beschreibung: | XIV, 328 S. graph. Darst. |
| ISBN: | 3540943609 0387943609 |
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Datensatz im Suchindex
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|---|---|
| adam_text |
SAMARADASA WEERAHANDI
EXACT STATISTICAL METHODS
FOR DATA ANALYSIS
WITH 10 FIGURES
SPRINGER-VERLA
G
NEW YORK BERLIN HEIDELBERG LONDON PARIS
TOKYO HONG KONG BARCELONA BUDAPEST
CONTENTS
PREFACE
VII
CHAPTER 1
PRELIMINARY NOTIONS
1
1.1 INTRODUCTION 1
.1.2 SUFFICIENCY 2
1.3 COMPLETE SUFFICIENT STATISTICS 4
1.4 EXPONENTIAL FAMILIES OF DISTRIBUTIONS 5
1.5 INVARIANCE 7
1.6 MAXIMUM LIKELIHOOD ESTIMATION 9
1.7 UNBIASED ESTIMATION 12
1.8 LEAST SQUARES ESTIMATION 15
1.9 INTERVAL ESTIMATION 18
EXERCISES 22
CHAPTER 2
NOTIONS IN SIGNIFICANCE TESTING OF HYPOTHESES
25
2.1 INTRODUCTION 25
2.2 TEST STATISTICS AND TEST VARIABLES 26
2.3 DEFINITION OF P-VALUE 29
2.4 GENERALIZED LIKELIHOOD RATIO METHOD 35
2.5 INVARIANCE IN SIGNIFICANCE TESTING 37
2.6 UNBIASEDNESS AND SIMILARITY 39
2.7 INTERVAL ESTIMATION AND FIXED-LEVEL TESTING 42
EXERCISES 45
XII CONTENTS
CHAPTER 3
REVIEW OF SPECIAL DISTRIBUTIONS
48
3.1 POISSON AND BINOMIAL DISTRIBUTIONS 48
3.2 POINT ESTIMATION AND INTERVAL ESTIMATION 51
3.3 SIGNIFICANCE TESTING OF PARAMETERS 53
3.4 BAYESIAN INFERENCE 55
3.5 THE NORMAL DISTRIBUTION 57
3.6 INFERENCES ABOUT THE MEAN 58
3.7 INFERENCES ABOUT THE VARIANCE 63
3.8 QUANTILES OF A NORMAL DISTRIBUTION 64
3.9 CONJUGATE PRIOR AND POSTERIOR DISTRIBUTIONS 67
3.10 BAYESIAN INFERENCE ABOUT THE MEAN AND THE VARIANCE 69
EXERCISES 73
CHAPTER 4
EXACT NONPARAMETRIC METHOD
77
4.1 INTRODUCTION 77
4.2 THE SIGN TEST 79
4.3 THE SIGNED RANK TEST AND THE PERMUTATION TEST 81
4.4 THE RANK SUM TEST AND ALLIED TESTS 86
4.5 COMPARING
K
POPULATIONS 92
4.6 CONTINGENCY TABLES 95
4.7 TESTING THE INDEPENDENCE OF CRITERIA OF CLASSIFICATION 96
4.8 TESTING THE HOMOGENEITY OF
R
POPULATIONS 101
EXERCISES 104
CHAPTER 5
GENERALIZED P-VALUES
108
5.1 INTRODUCTION 108
5.2 GENERALIZED TEST VARIABLES 112
5.3 DEFINITION OF GENERALIZED P-VALUES 117
5.4 FREQUENCY INTERPRETATIONS AND GENERALIZED FIXED-LEVEL TESTS 121
5.5 INVARIANCE 123
5.6 COMPARING THE MEANS OF TWO EXPONENTIAL DISTRIBUTIONS 127
5.7 UNBIASEDNESS AND SIMILARITY 133
5.7 COMPARING THE MEANS OF AN EXPONENTIAL DISTRIBUTION AND A
NORMAL DISTRIBUTION 136
EXERCISES 139
CONTENTS XIII
CHAPTER 6
GENERALIZED CONFIDENCE INTERVALS
143
6.1 INTRODUCTION 143
6.2 GENERALIZED DEFINITIONS 145
6.3 FREQUENCY INTERPRETATIONS AND REPEATED SAMPLING PROPERTIES 149
6.4 INVARIANCE IN INTERVAL ESTIMATION 151
6.5 INTERVAL ESTIMATION OF THE DIFFERENCE BETWEEN TWO
EXPONENTIAL MEANS 153
6.6 SIMILARITY IN INTERVAL ESTIMATION 158
6.7 GENERALIZED CONFIDENCE INTERVALS BASED ON P-VALUES 159
6.8 RESOLVING AN UNDESIRABLE FEATURE OF CONFIDENCE INTERVALS 161
6.9 BAYESIAN AND CONDITIONAL CONFIDENCE INTERVALS 163
EXERCISES 165
CHAPTER 7
COMPARING TWO NORMAL POPULATIONS
169
7.1 INTRODUCTION 169
7.2 COMPARING THE MEANS WHEN THE VARIANCES ARE EQUAL 170
7.3 SOLVING THE BEHRENS-FISHER PROBLEM 174
7.4 INFERENCES ABOUT THE RATIO OF TWO VARIANCES 182
7.5 INFERENCES ABOUT THE DIFFERENCE IN TWO VARIANCES 184
7.6 BAYESIAN INFERENCE 186
7.7 INFERENCES ABOUT THE RELIABILITY PARAMETER 190
7.8 THE CASE OF KNOWN STRESS DISTRIBUTION 194
EXERCISES 198
CHAPTER 8
ANALYSIS OF VARIANCE
203
8.1 INTRODUCTION 203
8.2 ONE-WAY LAYOUT 204
8.3 TESTING THE EQUALITY OF MEANS 207
8.4 ANOVA WITH UNEQUAL ERROR VARIANCES 210
8.5 MULTIPLE COMPARISONS 216
8.6 TESTING THE EQUALITY OF VARIANCES 221
8.7 TWO-WAY ANOVA WITHOUT REPLICATIONS 225
8.8 ANOVA IN A BALANCED TWO-WAY LAYOUT WITH REPLICATIONS 229
8.9 TWO-WAY ANOVA UNDER HETEROSCEDASTICITY 234
EXERCISES 238
XIV CONTENTS
CHAPTER 9
MIXED MODELS
242
9.1 INTRODUCTION 242
9.2 ONE-WAY LAYOUT 243
9.3 TESTING VARIANCE COMPONENTS 248
9.4 CONFIDENCE INTERVALS 253
9.5 TWO-WAY LAYOUT 259
9.6 COMPARING VARIANCE COMPONENTS 264
EXERCISES 268
CHAPTER 10
REGRESSION
272
10.1 INTRODUCTION 272
10.2 SIMPLE LINEAR REGRESSION MODEL 273
10.3. INFERENCES ABOUT PARAMETERS OF THE SIMPLE REGRESSION MODEL 274
10.4 MULTIPLE LINEAR REGRESSION 278
10.5 DISTRIBUTIONS OF ESTIMATORS AND SIGNIFICANCE TESTS 282
10.6 COMPARING TWO REGRESSIONS WITH EQUAL VARIANCES 288
10.7 COMPARING REGRESSIONS WITHOUT COMMON PARAMETERS 291
10.8 COMPARISON OF TWO GENERAL MODELS 294
EXERCISES 298
APPENDIX A 301
ELEMENTS OF BAYESIAN INFERENCE
301
A.
I INTRODUCTION 301
A.2 THE PRIOR DISTRIBUTION 302
A.3 THE POSTERIOR DISTRIBUTION 303
A.4 BAYES ESTIMATORS 306
A.5 BAYESIAN INTERVAL ESTIMATION 308
A.6 BAYESIAN HYPOTHESIS TESTING 309
APPENDIX B
TECHNICAL ARGUMENTS
313
REFERENCES
316
INDEX
325 |
| any_adam_object | 1 |
| author | Weerahandi, Samaradasa |
| author_GND | (DE-588)170027805 |
| author_facet | Weerahandi, Samaradasa |
| author_role | aut |
| author_sort | Weerahandi, Samaradasa |
| author_variant | s w sw |
| building | Verbundindex |
| bvnumber | BV009900404 |
| callnumber-first | Q - Science |
| callnumber-label | QA276 |
| callnumber-raw | QA276.W435 1995 |
| callnumber-search | QA276.W435 1995 |
| callnumber-sort | QA 3276 W435 41995 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 234 SK 850 SK 830 |
| ctrlnum | (OCoLC)30736486 (DE-599)BVBBV009900404 |
| dewey-full | 519.5 519.520 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 519.5 20 |
| dewey-search | 519.5 519.5 20 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| indexdate | 2024-07-20T06:13:36Z |
| institution | BVB |
| isbn | 3540943609 0387943609 |
| language | English |
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| physical | XIV, 328 S. graph. Darst. |
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| spelling | Weerahandi, Samaradasa Verfasser (DE-588)170027805 aut Exact statistical methods for data analysis Samaradasa Weerahandi New York [u.a.] Springer 1995 XIV, 328 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Literaturverz. S. 316 - 324 Analise de dados larpcal Data-analyse gtt Estatistica larpcal Statistiek gtt Statistique mathématique Statistik Mathematical statistics Genauigkeit (DE-588)4234398-7 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Statistische Schlussweise (DE-588)4182963-3 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Datenanalyse (DE-588)4123037-1 s Statistische Schlussweise (DE-588)4182963-3 s DE-604 Genauigkeit (DE-588)4234398-7 s 1\p DE-604 Statistik (DE-588)4056995-0 s 2\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006556929&sequence=000001&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 |
| spellingShingle | Weerahandi, Samaradasa Exact statistical methods for data analysis Analise de dados larpcal Data-analyse gtt Estatistica larpcal Statistiek gtt Statistique mathématique Statistik Mathematical statistics Genauigkeit (DE-588)4234398-7 gnd Datenanalyse (DE-588)4123037-1 gnd Statistische Schlussweise (DE-588)4182963-3 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4234398-7 (DE-588)4123037-1 (DE-588)4182963-3 (DE-588)4056995-0 |
| title | Exact statistical methods for data analysis |
| title_auth | Exact statistical methods for data analysis |
| title_exact_search | Exact statistical methods for data analysis |
| title_full | Exact statistical methods for data analysis Samaradasa Weerahandi |
| title_fullStr | Exact statistical methods for data analysis Samaradasa Weerahandi |
| title_full_unstemmed | Exact statistical methods for data analysis Samaradasa Weerahandi |
| title_short | Exact statistical methods for data analysis |
| title_sort | exact statistical methods for data analysis |
| topic | Analise de dados larpcal Data-analyse gtt Estatistica larpcal Statistiek gtt Statistique mathématique Statistik Mathematical statistics Genauigkeit (DE-588)4234398-7 gnd Datenanalyse (DE-588)4123037-1 gnd Statistische Schlussweise (DE-588)4182963-3 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Analise de dados Data-analyse Estatistica Statistiek Statistique mathématique Statistik Mathematical statistics Genauigkeit Datenanalyse Statistische Schlussweise |
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