Categorical and nonparametric data analysis: choosing the best statistical technique
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| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
New York ; London
Routledge
2024
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| Edition: | Second edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xix, 519 Seiten Diagramme cm |
| ISBN: | 9780367698157 9780367702540 |
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MARC
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DETAILED CONTENTS About the Authors Preface xv xvii xxi xxiii Foreword by Lisa !. Harlow Acknowledgments CHAPTER 1 Levels of Measurement, Probability, andthe Binomial Formula 1 Levels of Measurement 1 Probability 3 The Binomial Formula 10 Problems 21 Appendix 1.1: Logic Behind Combination Formula (Eq. 1.9) 24 27 CHAPTER 2 Estimation and Hypothesis Testing Estimation Hypothesis Testing 27 37 The Binomial Test 41 Summary 52 Problems 52 53 Technical Notes Appendix 2.1: Derivation of the Mean and SE of the Sampling Distribution for /’ 54 CHAPTER 3 Random Variables and Probability Distributions 57 Random Variables 57 Testing the Shape of a Distribution 68
X Detailed Contents Problems 73 Technical Notes 78 Appendix 3.1: Linear Combination of Two Random Variables 79 CHAPTER 4 Contingency Tables: The Chi-Square Test of Independence and Associated Effect Sizes 81 The Contingency Table Effect Sizes S1 SS Measures of Association ‘»2 Using IBM SPSS and R 03 Summary Problems os us Technical Notes ‘ 7 CHAPTERS Contingency Tables: Special Situations The Small Sample Case: Fisher’s Exact Test 99 t,l McNemar Test (for Related Samples) Kb Controlling for a Third Variable: The Mantel-Haenszel Test 112 Summary 11 s Problems IIS Technical Notes 122 Appendix 5.1: Understanding the Hypergeometric Distribution 124 Appendix 5.2: Understanding the Mantel-Haenszel Formula 12o CHAPTER 6 Basic Nonparametric Tests for Ordinal Data: (With Edgar Brunner, University of Göttingen) Introduction to Nonparametric Statistics 129 12» Summary 13 Analysis of Association or Trend 13n Comparing Two Groups Assessing Dispersion 14 5 l”i Summary i ”4 Problems '4
Detailed Contents xi Technical Notes 169 Appendix 6.1: Sum of Consecutive Integers 171 CHAPTER 7 Nonparametric Tests for Multiple Independent Samples: (With Edgar Brunner, University of Göttingen)175 Global Tests 175 Multiple Comparisons 188 Multi-Factorial Designs 199 Summary 208 Problems 208 Technical Notes 213 Appendix 7.1: Logic Behind Kruskal-Wallis Eq. 7.2 216 Appendix 7.2: Efron's Dice Paradox and Intransitivity 217 Appendix 7.3: The Multiple Contrast Test Appendix 7.4: ATS Procedure and Wald-Type Statistics 219 223 CHAPTER 8 Nonparametric Tests for Related Samples: (With Edgar Brunner, University of Göttingen) 227 Two Samples 227 Three or More Samples 240 Time Curves and Interactions 248 Summary 257 Problems 258 Technical Notes Appendix 8.1: Derivation of Eq. 8.1 for the Asymptotic Sign Test 263 265 CHAPTER 9 Linear Regression and Generalized Linear Models 269 Review of Linear Regression 269 The General Linear Model 276 Generalized Linear Models 281 Summary 288 Problems 288
xii Detailed Contents Technical Notes 29? Appendix 9.1: Proofs of SelectedOLS Theorems 2lG CHAPTER 10 Binary LogisticRegression 297 Basics of Logistic Regression 2l 7 Model Building and Refinement 31 s Summary 334 Problems 335 Technical Notes 338 Appendix 10.1: Selected Proofs 342 Appendix 10.2 Goodness of Link (GOD Test 343 Appendix 10.3: Dean's Test for Overdispersion 345 CHAPTER 11 Multinomial Logistic, Ordinal, and Poisson Regression 349 Multinomial Logistic Regression 34l Ordinal Regression Poisson Regression 352 3oi Summary 378 Problems Technical Notes 3’8 Appendix 11.1: Poisson Regression Proofs 384 CHAPTER 12 Loglinear Analysis 383 387 Ordered Contingency Tables 387 4( 2 Sample Considerations 4( 7 Basic Theory Summary 4”8 Problems 4(’S Technical Notes 413 Appendix 12.1: Derivation of OR From Loglinear Dummy Parameters 414 Appendix 12.2: Conditional Loglinear Analysis: Mathematical Foundations 415 CHAPTER 13 General Estimating Equations 417 Foundations of General Estimating Equations 417 Using General Estimating Equations in SPSS and R 434
Detailed Contents xiiî Problems 435 435 Technical Notes 439 Summary CHAPTER 14 Estimation Procedures 443 Estimating a Binomial Parameter 443 Estimation Procedures for Generalized Linear Models and General Estimating Equations Summary 456 465 Technical Notes 466 468 Appendix 14.1: Logic Behind the Newton-Raphson Procedure 470 Appendix 14.2: Proofs of Important Results 472 Problems CHAPTER 15 Choosing the Best Statistical Technique 481 Summary 484 Answers to Odd Numbered Problems Index 487 509 |
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| spelling | Nussbaum, E. Michael Verfasser (DE-588)1058718916 aut Categorical and nonparametric data analysis choosing the best statistical technique E. Michael Nussbaum Second edition New York ; London Routledge 2024 xix, 519 Seiten Diagramme cm txt rdacontent n rdamedia nc rdacarrier Multivariate analysis Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Multivariate Analyse (DE-588)4040708-1 s Nichtparametrische Statistik (DE-588)4226777-8 s DE-604 Harlow, Lisa L. 1951- (DE-588)1048502422 win Brunner, Edgar 1943- (DE-588)1077896050 ctb Erscheint auch als Online-Ausgabe 978-1-003-14526-4 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035135532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nussbaum, E. Michael Categorical and nonparametric data analysis choosing the best statistical technique Multivariate analysis Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4226777-8 (DE-588)4040708-1 (DE-588)4123623-3 |
| title | Categorical and nonparametric data analysis choosing the best statistical technique |
| title_auth | Categorical and nonparametric data analysis choosing the best statistical technique |
| title_exact_search | Categorical and nonparametric data analysis choosing the best statistical technique |
| title_full | Categorical and nonparametric data analysis choosing the best statistical technique E. Michael Nussbaum |
| title_fullStr | Categorical and nonparametric data analysis choosing the best statistical technique E. Michael Nussbaum |
| title_full_unstemmed | Categorical and nonparametric data analysis choosing the best statistical technique E. Michael Nussbaum |
| title_short | Categorical and nonparametric data analysis |
| title_sort | categorical and nonparametric data analysis choosing the best statistical technique |
| title_sub | choosing the best statistical technique |
| topic | Multivariate analysis Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Multivariate analysis Nonparametric statistics Nichtparametrische Statistik Multivariate Analyse Lehrbuch |
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