Regression analysis for social sciences:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
San Diego [u.a.]
Academic Press
1998
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| Subjects: | |
| Online Access: | Publisher description Table of contents Inhaltsverzeichnis |
| Physical Description: | XV, 386 S. graph. Darst. |
| ISBN: | 0127249559 |
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MARC
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| 245 | 1 | 0 | |a Regression analysis for social sciences |c Alexander von Eye ; Christof Schuster |
| 264 | 1 | |a San Diego [u.a.] |b Academic Press |c 1998 | |
| 300 | |a XV, 386 S. |b graph. Darst. | ||
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| 650 | 4 | |a Analyse de régression | |
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| 650 | 4 | |a Sciences sociales - Méthodes statistiques | |
| 650 | 7 | |a Sociaal-wetenschappelijk onderzoek |2 gtt | |
| 650 | 4 | |a Sozialwissenschaften | |
| 650 | 4 | |a Social sciences -- Statistical methods | |
| 650 | 4 | |a Regression analysis | |
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Record in the Search Index
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| adam_text | Contents
Preface xi
1 INTRODUCTION 1
2 SIMPLE LINEAR REGRESSION 7
2.1 Linear Functions and Estimation 7
2.2 Parameter Estimation 12
2.2.1 Criteria for Parameter Estimation 12
2.2.2 Least Squares Parameter Estimators 17
2.2.3 The Goodness of Fit of the Regression Model ... 25
2.3 Interpreting Regression Parameters 26
2.3.1 Interpreting the Intercept Parameter 27
2.3.2 Interpreting the Slope Parameter 27
2.4 Interpolation and Extrapolation 28
2.5 Testing Regression Hypotheses 29
2.5.1 Null Hypothesis: Slope Parameter Equals Zero . . 31
2.5.2 Data Example 33
2.5.3 Null Hypothesis: Slope Parameter Constant .... 34
2.5.4 Null Hypothesis 2: Two Slope Parameters are Equal 36
2.5.5 More Hypotheses for Slope Coefficients 38
2.5.6 Hypotheses Concerning Intercept. Coefficients ... 39
2.5.7 Confidence Intervals 40
3 MULTIPLE LINEAR REGRESSION 43
3.1 Ordinary Least Squares Estimation (4
3.2 Data Example 50
3.3 Multiple Correlation and Determination 53
3.3.1 Expectancy of R2 and Significance Testing .... 55
3.4 Significance Testing 58
v
vi CONTENTS
4 CATEGORICAL PREDICTORS 63
4.1 Dummy and Effect Coding 65
4.2 More Than Two Categories 70
4.3 Multiple Categorical Predictors 77
5 OUTLIER ANALYSIS 81
5.1 Leverage Outliers 81
5.2 Remedial Measures 89
5.2.1 Scale Transformations 90
5.2.2 Weighted Least Squares 94
6 RESIDUAL ANALYSIS 99
6.1 Illustrations of Residual Analysis 100
6.2 Residuals and Variable Relationships 106
7 POLYNOMIAL REGRESSION 117
7.1 Basics 117
7.2 Orthogonal Polynomials 124
7.3 Example of Non Equidistant Predictors 128
8 MULTICOLLINEARITY 133
8.1 Diagnosing Multicollinearity 136
8.2 Countermeasures to Multicollinearity 138
8.2.1 Data Example 139
9 MULTIPLE CURVILINEAR REGRESSION 143
10 INTERACTION TERMS IN REGRESSION 151
10.1 Definition and Illustrations 151
10.2 Multiplicative Terms 154
10.2.1 Predicting the Slope Parameter from a Second Pre¬
dictor 155
10.2.2 Predicting Both Slope and Intercept 159
10.3 Variable Characteristics 162
10.3.1 Multicollinearity of Multiplicative Regression Terms 163
10.3.2 Leverage Points as Results of Multiplicative Regres¬
sion Terms 164
10.3.3 Problems with ANOVA Type Interactions 166
10.3.4 The Partial Interaction Strategy 170
CONTENTS vii
11 ROBUST REGRESSION 175
11.1 The Concept of Robustness 175
11.2 Models of Robust Regression 178
11.2.1 Ridge Regression 178
11.2.2 Least Median of Squares Regression 186
11.2.3 Least Trimmed Squares 189
11.2.4 M Estimators 190
11.3 Computational Issues 191
11.3.1 Ridge Regression 192
11.3.2 Least Median of Squares and Least Trimmed Squares
Regression 203
12 SYMMETRIC REGRESSION 209
12.1 Pearson s Orthogonal Regression 210
12.1.1 Symmetry and Inverse Prediction 214
12.1.2 The Orthogonal Regression Solution 216
12.1.3 Inferences in Orthogonal Regression 217
12.1.4 Problems with Orthogonal Regression 219
12.2 Other Solutions 219
12.2.1 Choice of Method for Symmetric Regression . . . . 222
12.3 A General Model for OLS Regression 225
12.3.1 Discussion 229
12.4 Robust Symmetrical Regression 230
12.5 Computational Issues 230
12.5.1 Computing a Major Axis Regression 231
12.5.2 Computing Reduced Major Axis Solution 233
13 VARIABLE SELECTION TECHNIQUES 237
13.1 A Data Example 240
13.2 Best Subset Regression 244
13.2.1 Squared Multiple Correlation, R2 245
13.2.2 Adjusted Squared Multiple Correlation 247
13.2.3 Mallow s Cp 249
13.3 Stepwise Regression 251
13.3.1 Forward Selection 252
13.3.2 Backward Elimination 254
13.3.3 Efroymson s Algorithm 256
13.4 Discussion 257
viii CONTENTS
14 REGRESSION FOR LONGITUDINAL DATA 259
14.1 Within Subject Correlation 260
14.2 Robust Modeling of Longitudinal Data 266
14.3 A Data Example 270
15 PIECEWISE REGRESSION 277
15.1 Continuous Piecewise Regression 278
15.2 Discontinuous Piecewise Regression 281
16 DICHOTOMOUS CRITERION VARIABLES 287
17 COMPUTATIONAL ISSUES 291
17.1 Creating a SYSTAT System File 291
17.2 Simple Regression 295
17.3 Curvilinear Regression 298
17.4 Multiple Regression 304
17.5 Regression Interaction 308
17.6 Regression with Categorical Predictors 310
17.7 The Partial Interaction Strategy 315
17.8 Residual Analysis 319
17.9 Missing Data Estimation 323
17.10Piecewise Regression 328
A ELEMENTS OF MATRIX ALGEBRA 333
A.I Definition of a Matrix 333
A.2 Types of Matrices 335
A.3 Transposing Matrices 337
A.4 Adding Matrices 337
A.5 Multiplying Matrices 338
A.6 The Rank of a Matrix 342
A.7 The Inverse of a Matrix 344
A.8 The Determinant of a Matrix 346
A.9 Rules for Operations with Matrices 347
A.10 Exercises 349
B BASICS OF DIFFERENTIATION 351
C BASICS OF VECTOR DIFFERENTIATION 355
CONTENTS ix
D POLYNOMIALS 359
D.I Systems of Orthogonal Polynomials 361
D.2 Smoothing Series of Measures 363
E DATA SETS 365
E.I Recall Performance Data 365
E.2 Examination and State Anxiety Data 370
References 373
Index 381
|
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| author | Eye, Alexander von 1949- Schuster, Christof |
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| dewey-tens | 300 - Social sciences |
| discipline | Soziologie Psychologie Mathematik |
| format | Book |
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| isbn | 0127249559 |
| language | English |
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| spelling | Eye, Alexander von 1949- Verfasser (DE-588)108576639 aut Regression analysis for social sciences Alexander von Eye ; Christof Schuster San Diego [u.a.] Academic Press 1998 XV, 386 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analyse de régression Regressieanalyse gtt Sciences sociales - Méthodes statistiques Sociaal-wetenschappelijk onderzoek gtt Sozialwissenschaften Social sciences -- Statistical methods Regression analysis Regressionsanalyse (DE-588)4129903-6 gnd rswk-swf Sozialwissenschaften (DE-588)4055916-6 gnd rswk-swf Regressionsanalyse (DE-588)4129903-6 s Sozialwissenschaften (DE-588)4055916-6 s DE-604 Schuster, Christof Verfasser aut http://www.loc.gov/catdir/description/els033/98084465.html Publisher description http://www.loc.gov/catdir/toc/els032/98084465.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=008235169&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eye, Alexander von 1949- Schuster, Christof Regression analysis for social sciences Analyse de régression Regressieanalyse gtt Sciences sociales - Méthodes statistiques Sociaal-wetenschappelijk onderzoek gtt Sozialwissenschaften Social sciences -- Statistical methods Regression analysis Regressionsanalyse (DE-588)4129903-6 gnd Sozialwissenschaften (DE-588)4055916-6 gnd |
| subject_GND | (DE-588)4129903-6 (DE-588)4055916-6 |
| title | Regression analysis for social sciences |
| title_auth | Regression analysis for social sciences |
| title_exact_search | Regression analysis for social sciences |
| title_full | Regression analysis for social sciences Alexander von Eye ; Christof Schuster |
| title_fullStr | Regression analysis for social sciences Alexander von Eye ; Christof Schuster |
| title_full_unstemmed | Regression analysis for social sciences Alexander von Eye ; Christof Schuster |
| title_short | Regression analysis for social sciences |
| title_sort | regression analysis for social sciences |
| topic | Analyse de régression Regressieanalyse gtt Sciences sociales - Méthodes statistiques Sociaal-wetenschappelijk onderzoek gtt Sozialwissenschaften Social sciences -- Statistical methods Regression analysis Regressionsanalyse (DE-588)4129903-6 gnd Sozialwissenschaften (DE-588)4055916-6 gnd |
| topic_facet | Analyse de régression Regressieanalyse Sciences sociales - Méthodes statistiques Sociaal-wetenschappelijk onderzoek Sozialwissenschaften Social sciences -- Statistical methods Regression analysis Regressionsanalyse |
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