Multivariable modeling and multivariate analysis for the behavioral sciences:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton u.a.
CRC Press
2010
|
| Series: | Chapman & Hall/CRC Statistics in the social and behavioral sciences series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XVII, 304 S. graph. Darst. 25 cm |
| ISBN: | 9781439807699 1439807698 |
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| 245 | 1 | 0 | |a Multivariable modeling and multivariate analysis for the behavioral sciences |c Brian S. Everitt |
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
PREFACE XIII
ACKNOWLEDGMENTS XVII
1. DATA, MEASUREMENT, AND MODELS 1
1.1 INTRODUCTION 1
1.2 TYPES OF STUDY 2
1.2.1 SURVEYS 3
1.2.2 EXPERIMENTS 4
1.2.3 OBSERVATIONAL STUDIES 5
1.2.4 QUASI-EXPERIMENTS 6
1.3 TYPES OF MEASUREMENT 7
1.3.1 NOMINAL OR CATEGORICAL MEASUREMENTS 7
1.3.2 ORDINAL SCALE MEASUREMENTS 8
1.3.3 INTERVAL SCALES 8
1.3.4 RATIO SCALES 9
1.3.5 RESPONSE AND EXPLANATORY VARIABLES 9
1.4 MISSING VALUES 10
1.5 THE ROLE OF MODELS IN THE ANALYSIS OF DATA 11
1.6 DETERMINING SAMPLE SIZE 14
1.7 SIGNIFICANCE TESTS, P-VALUES, AND CONFIDENCE INTERVALS 16 1.8
SUMMARY 19
1.9 EXERCISES 19
2. LOOKING AT DATA 21
2.1 INTRODUCTION 21
2.2 SIMPLE GRAPHICS-PIE CHARTS, BAR CHARTS, HISTOGRAMS, ANDBOXPLOTS 22
2.2.1 CATEGORICAL DATA 22
2.2.2 INTERVAL/QUASI-INTERVAL DATA 30
2.3 THE SCATTERPLOT AND BEYOND 35
2.3.1 THE BUBBLEPLOT 38
2.3.2 THE BIVARIATE BOXPLOT 40
2.4 SCATTERPLOT MATRICES 44
2.5 CONDITIONING PLOTS AND TRELLIS GRAPHICS 45
2.6 GRAPHICAL DECEPTION 52
2.7 SUMMARY 58
2.8 EXERCISES 58
IMAGE 2
3. SIMPLE LINEAR AND LOCALLY WEIGHTED REGRESSION 61
3.1 INTRODUCTION 61
3.2 SIMPLE LINEAR REGRESSION 62
3.2.1 FITTING THE SIMPLE LINEAR REGRESSION MODEL TO THE PULSE RATES AND
HEIGHTS DATA 64
3.2.2 AN EXAMPLE FROM KINESIOLOGY 65
3.3 REGRESSION DIAGNOSTICS 68
3.4 LOCALLY WEIGHTED REGRESSION 72
3.4.1 SCATTERPLOT SMOOTHERS 73
3.5 SUMMARY 79
3.6 EXERCISES 80
4. MULTIPLE LINEAR REGRESSION 81
4.1 INTRODUCTION 81
4.2 AN EXAMPLE OF MULTIPLE LINEAR REGRESSION 84
4.3 CHOOSING THE MOST PARSIMONIOUS MODEL WHEN APPLYING MULTIPLE LINEAR
REGRESSION 89
4.4 REGRESSION DIAGNOSTICS 96
4.5 SUMMARY 100
4.6 EXERCISES 100
5. THE EQUIVALENCE OF ANALYSIS OF VARIANCE AND MULTIPLE LINEAR
REGRESSION, AND AN INTRODUCTION TO THE GENERALIZED LINEAR MODEL 103
5.1 INTRODUCTION 103
5.2 THE EQUIVALENCE OF MULTIPLE REGRESSION AND ANOVA 103 5.3 THE
GENERALIZED LINEAR MODEL 110
5.4 SUMMARY 112
5.5 EXERCISES 113
6. LOGISTIC REGRESSION 115
6.1 INTRODUCTION 115
6.2 ODDS AND ODDS RATIOS 115
6.3 LOGISTIC REGRESSION 117
6.4 APPLYING LOGISTIC REGRESSION TO THE GHQ DATA 120
6.5 SELECTING THE MOST PARSIMONIOUS LOGISTIC REGRESSION MODEL.... 124
6.6 SUMMARY 128
6.7 EXERCISES 128
7. SURVIVAL ANALYSIS 131
7.1 INTRODUCTION 131
7.2 THE SURVIVAL FUNCTION 132
7.3 THE HAZARD FUNCTION 136
7.4 COX S PROPORTIONAL HAZARDS MODEL 138
IMAGE 3
7.5 SUMMARY 143
7.6 EXERCISES 144
8. LINEAR MIXED MODELS FOR LONGITUDINAL DATA 145
8.1 INTRODUCTION 145
8.2 LINEAR MIXED EFFECTS MODELS FOR LONGITUDINAL DATA 146 8.3 HOW DO
RATS GROW? 150
8.3.1 FITTING THE INDEPENDENCE MODEL TO THE RAT DATA 151 8.3.2 FITTING
LINEAR MIXED MODELS TO THE RAT DATA 153 8.4 COMPUTERIZED DELIVERY OF
COGNITIVE BEHAVIORAL THERAPY- BEAT THE BLUES 157
8.5 THE PROBLEM OF DROPOUTS IN LONGITUDINAL STUDIES 162 8.6 SUMMARY 165
8.7 EXERCISES 166
9. MULTIVARIATE DATA AND MULTIVARIATE ANALYSIS 169
9.1 INTRODUCTION 169
9.2 THE INITIAL ANALYSIS OF MULTIVARIATE DATA 170
9.2.1 SUMMARY STATISTICS FOR MULTIVARIATE DATA 170 9.2.2 GRAPHICAL
DESCRIPTIONS OF THE BODY MEASUREMENT DATA 173
9.3 THE MULTIVARIATE NORMAL PROBABILITY DENSITY FUNCTION 174 9.4 SUMMARY
180
9.5 EXERCISES 181
10. PRINCIPAL COMPONENTS ANALYSIS 183
10.1 INTRODUCTION 183
10.2 PRINCIPAL COMPONENTS ANALYSIS (PCA) 183
10.3 FINDING THE SAMPLE PRINCIPAL COMPONENTS 185
10.4 SHOULD PRINCIPAL COMPONENTS BE EXTRACTED FROM THE COVARIANCE OR THE
CORRELATION MATRIX? 188
10.5 PRINCIPAL COMPONENTS OF BIVARIATE DATA WITH CORRELATION COEFFICIENT
R 190
10.6 RESCALING THE PRINCIPAL COMPONENTS 192
10.7 HOW THE PRINCIPAL COMPONENTS PREDICT THE OBSERVED COVARIANCE MATRIX
193
10.8 CHOOSING THE NUMBER OF COMPONENTS 193
10.9 CALCULATING PRINCIPAL COMPONENT SCORES 195
10.10 SOME EXAMPLES OF THE APPLICATION OF PCA 196
10.10.1 HEAD SIZE OF BROTHERS 196
10.10.2 CRIME RATES IN THE UNITED STATES 200
10.10.3 DRUG USAGE BY AMERICAN COLLEGE STUDENTS 205
IMAGE 4
10.11 USING PCA TO SELECT A SUBSET OF THE VARIABLES 208
10.12 SUMMARY 209
10.13 EXERCISES 210
11. FACTOR ANALYSIS 211
11.1 INTRODUCTION 211
11.2 THE FACTOR ANALYSIS MODEL 212
11.3 ESTIMATING THE PARAMETERS IN THE FACTOR ANALYSIS MODEL 215 11.4
ESTIMATING THE NUMBERS OF FACTORS 217
11.5 FITTING THE FACTOR ANALYSIS MODEL: AN EXAMPLE 218 11.6 ROTATION OF
FACTORS 220
11.6.1 A SIMPLE EXAMPLE OF GRAPHICAL ROTATION 222 11.6.2 NUMERICAL
ROTATION METHODS 223
11.6.3 ROTATING THE CRIME RATE FACTORS 226
11.7 ESTIMATING FACTOR SCORES 227
11.8 EXPLORATORY FACTOR ANALYSIS AND PRINCIPAL COMPONENT ANALYSIS
COMPARED 228
11.9 CONFIRMATORY FACTOR ANALYSIS 229
11.9.1 ABILITY AND ASPIRATION 230
11.9.2 A CONFIRMATORY FACTOR ANALYSIS MODEL FOR DRUG USAGE 233
11.10 SUMMARY 235
11.11 EXERCISES 236
12. CLUSTER ANALYSIS 239
12.1 INTRODUCTION 239
12.2 CLUSTER ANALYSIS 241
12.3 AGGLOMERATIVE HIERARCHICAL CLUSTERING 241
12.3.1 CLUSTERING INDIVIDUALS BASED ON BODY MEASUREMENTS 243
12.3.2 CLUSTERING COUNTRIES ON THE BASIS OF LIFE EXPECTANCY DATA 246
12.4 JR-MEANS CLUSTERING 250
12.5 MODEL-BASED CLUSTERING 253
12.6 SUMMARY 258
12.7 EXERCISES 259
13. GROUPED MULTIVARIATE DATA 261
13.1 INTRODUCTION 261
13.2 TWO-GROUP MULTIVARIATE DATA 262
13.2.1 HOTELLING S T 2 TEST 262
13.2.2 FISHER S LINEAR DISCRIMINANT FUNCTION 265
13.3 MORE THAN TWO GROUPS 270
13.3.1 MULTIVARIATE ANALYSIS OF VARIANCE (MANOVA) 270 13.3.2
CLASSIFICATION FUNCTIONS 273
IMAGE 5
13.4 SUMMARY 277
13.5 EXERCISES 277
REFERENCES 279
APPENDIX: SOLUTIONS TO SELECTED EXERCISES 285
INDEX 299
|
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| spelling | Everitt, Brian 1944- Verfasser (DE-588)121459411 aut Multivariable modeling and multivariate analysis for the behavioral sciences Brian S. Everitt Boca Raton u.a. CRC Press 2010 XVII, 304 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Chapman & Hall/CRC Statistics in the social and behavioral sciences series Includes bibliographical references and index Sozialwissenschaften Social sciences Statistical methods Multivariate analysis Sozialwissenschaften (DE-588)4055916-6 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s Sozialwissenschaften (DE-588)4055916-6 s DE-604 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020599716&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Everitt, Brian 1944- Multivariable modeling and multivariate analysis for the behavioral sciences Sozialwissenschaften Social sciences Statistical methods Multivariate analysis Sozialwissenschaften (DE-588)4055916-6 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4055916-6 (DE-588)4040708-1 |
| title | Multivariable modeling and multivariate analysis for the behavioral sciences |
| title_auth | Multivariable modeling and multivariate analysis for the behavioral sciences |
| title_exact_search | Multivariable modeling and multivariate analysis for the behavioral sciences |
| title_full | Multivariable modeling and multivariate analysis for the behavioral sciences Brian S. Everitt |
| title_fullStr | Multivariable modeling and multivariate analysis for the behavioral sciences Brian S. Everitt |
| title_full_unstemmed | Multivariable modeling and multivariate analysis for the behavioral sciences Brian S. Everitt |
| title_short | Multivariable modeling and multivariate analysis for the behavioral sciences |
| title_sort | multivariable modeling and multivariate analysis for the behavioral sciences |
| topic | Sozialwissenschaften Social sciences Statistical methods Multivariate analysis Sozialwissenschaften (DE-588)4055916-6 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Sozialwissenschaften Social sciences Statistical methods Multivariate analysis Multivariate Analyse |
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