Applied longitudinal analysis:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Hoboken, N.J.
Wiley-Interscience
2004
|
| Schriftenreihe: | Wiley series in probability and statistics
|
| Schlagwörter: | |
| Links: | http://www.loc.gov/catdir/toc/wiley041/2004040891.html http://www.loc.gov/catdir/bios/wiley047/2004040891.html http://www.loc.gov/catdir/description/wiley041/2004040891.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013141757&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references (p. 485-500) and index |
| Umfang: | XIX, 506 S. graph. Darst. 24 cm |
| ISBN: | 0471214876 |
Internformat
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| 264 | 1 | |a Hoboken, N.J. |b Wiley-Interscience |c 2004 | |
| 300 | |a XIX, 506 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Wiley series in probability and statistics | |
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| 650 | 4 | |a Analyse de régression | |
| 650 | 4 | |a Analyse multivariée | |
| 650 | 7 | |a Análise de regressão e de correlação |2 larpcal | |
| 650 | 7 | |a Análise multivariada |2 larpcal | |
| 650 | 7 | |a Estatísticas de saúde |2 larpcal | |
| 650 | 7 | |a Estudos longitudinais |2 larpcal | |
| 650 | 7 | |a Longitudinaal onderzoek |2 gtt | |
| 650 | 4 | |a Méthode longitudinale | |
| 650 | 4 | |a Statistique médicale | |
| 650 | 7 | |a Statistische analyse |2 gtt | |
| 650 | 7 | |a Statistische methoden |2 gtt | |
| 650 | 4 | |a aLongitudinal method | |
| 650 | 4 | |a aRegression analysis | |
| 650 | 4 | |a aMultivariate analysis | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface xv
Acknowledgments xix
Part I Introduction to Longitudinal and Clustered Data
1 Longitudinal and Clustered Data 1
1.1 Introduction 1
1.2 Longitudinal and Clustered Data 2
1.3 Examples 5
1.4 Regression Models for Correlated Responses 13
1.5 Organization of This Book 16
1.6 Further Reading 18
2 Longitudinal Data: Basic Concepts 19
2.1 Introduction 19
2.2 Objectives of Longitudinal Analysis 19
2.3 Defining Features of Longitudinal Data 22
vii
viii CONTENTS
2.4 Example: Treatment of Lead Exposed Children Trial 31
2.5 Sources of Correlation in Longitudinal Data 36
2.6 Further Reading 44
Problems 44
Part II Linear Models for Longitudinal Continuous Data
3 Overview of Linear Models for Longitudinal Data 49
3.1 Introduction 49
3.2 Notation and Distributional Assumptions 50
3.3 Simple Descriptive Methods of Analysis 62
3.4 Modelling the Mean 71
3.5 Modelling the Covariance 73
3.6 Historical Approaches 76
3.7 Further Reading 86
4 Estimation and Statistical Inference 87
4.1 Introduction 87
4.2 Estimation: Maximum Likelihood 88
4.3 Missing Data Issues 92
4.4 Statistical Inference 94
4.5 Restricted Maximum Likelihood (REML) Estimation 99
4.6 Further Reading 102
5 Modelling the Mean: Analyzing Response Profiles 103
5.7 Introduction 103
5.2 Hypotheses Concerning Response Profiles 105
5.3 General Linear Model Formulation 110
5.4 Case Study H5
5.5 One Degree of Freedom Tests for Group by Time
Interaction 118
5.6 Adjustment for Baseline Response 122
5.7 Alternative Methods of Adjusting for Baseline
Response* 126
CONTENTS ix
5.8 Strengths and Weaknesses of Analyzing Response
Profiles 132
5.9 Computing: Analyzing Response Profiles Using
PROC MIXED in SAS 134
5.10 Further Reading 138
Problems 138
6 Modelling the Mean: Parametric Curves 141
6.1 Introduction 141
6.2 Polynomial Trends in Time 142
6.3 Linear Splines 147
6.4 General Linear Model Formulation 150
6.5 Case Studies 152
6.6 Computing: Fitting Parametric Curves Using
PROC MIXED in SAS 159
6.7 Further Reading 160
Problems 161
7 Modelling the Covariance 163
7.1 Introduction 163
7.2 Implications of Correlation among Longitudinal Data 164
7.3 Unstructured Covariance 166
7.4 Covariance Pattern Models 167
7.5 Choice among Covariance Pattern Models 173
7.6 Case Study 178
7.7 Discussion: Strengths and Weaknesses of Covariance
Pattern Models 181
7.8 Computing: Fitting Covariance Pattern Models
Using PROC MIXED in SAS 182
7.9 Further Reading 184
Problems 184
8 Linear Mixed Effects Models 187
8.1 Production 187
8.2 Linear Mixed Effects Models 192
X CONTENTS
8.3 Random Effects Covariance Structure 198
8.4 Two Stage Random Effects Formulation 200
8.5 Choice among Random Effects Covariance Models 205
8.6 Prediction of Random Effects 206
8.7 Prediction and Shrinkage* 208
8.8 Case Studies 210
8.9 Computing: Fitting Linear Mixed Effects Models
Using PROC MIXED in SAS 231
8.10 Further Reading 233
Problems 234
9 Residual Analyses and Diagnostics 237
9.1 Introduction 237
9.2 Residuals 237
9.3 Transformed Residuals 238
9.4 Semi Variogram 241
9.5 Case Study 242
9.6 Summary 251
9.7 Further Reading 252
Problems 253
Part III Generalized Linear Models for Longitudinal Data
10 Review of Generalized Linear Models 257
10.1 Introduction 257
10.2 Salient Features of Generalized Linear Models 258
10.3 Illustrative Examples 263
10.4 Computing: Fitting Generalized Linear Models
Using PROC GENMOD in SAS 2 76
10.5 Overview of Generalized Linear Models* 279
10.6 Further Reading 287
Problems 287
CONTENTS Xi
11 Marginal Models: Generalized Estimating
Equations (GEE) 291
11.1 Introduction 291
11.2 Marginal Models for Longitudinal Data 292
11.3 Estimation for Marginal Models: Generalized
Estimating Equations 299
11.4 Case Studies 305
11.5 Computing: Generalized Estimating Equations
Using PROC GEN MOD in SAS 316
11.6 Distributional Assumptions for Marginal Models* 319
11.7 Further Reading 321
Problems 321
12 Generalized Linear Mixed Effects Models 325
12.1 Introduction 325
12.2 Incorporating Random Effects in Generalized Linear
Models 326
12.3 Interpretation of Regression Parameters 331
12.4 Estimation and Inference 338
12.5 Case Studies 340
12.6 Computing: Fitting Generalized Linear Mixed Models
Using PROC NLMIXED in SAS 351
12.7 Further Reading 354
Problems 355
13 Contrasting Marginal and Mixed Effects Models 359
13.1 Introduction 359
13.2 Linear Models: A Special Case 359
13.3 Generalized Linear Models 360
13.4 Simple Numerical Illustration 364
13.5 Case Study 365
13.6 Conclusion 369
13.7 Further Reading 371
Xii CONTENTS
Part IV Advanced Topics for Longitudinal and Clustered Data
14 Missing Data and Dropout 375
14.1 Introduction 375
14.2 Hierarchy of Missing Data Mechanisms 377
14.3 Implications for Longitudinal Analysis 384
14.4 Dropout 386
14.5 Common Approaches for Handling Dropout 391
14.6 Case Study 397
14.7 Further Reading 400
15 Some Aspects of the Design of Longitudinal Studies 401
75.7 Introduction 401
15.2 Sample Size and Power 401
15.3 Interpretation of Stochastic Time Varying Covariates 414
15.4 Longitudinal and Cross Sectional Information 418
15.5 Further Reading 422
16 Repeated Measures and Related Designs 425
76.7 Introduction 425
16.2 Repeated Measures Designs 426
16.3 Multiple Source Data 430
16.4 Case Study 1: Repeated Measures Experiment 431
16.5 Case Study 2: Multiple Source Data 434
16.6 Summary 439
16.7 Further Reading 440
17 Multilevel Models 441
77.7 Introduction 441
17.2 Multilevel Data 442
17.3 Multilevel Linear Models 444
17.4 Multilevel Generalized Linear Models 455
17.5 Summary 465
17.6 Further Reading 466
CONTENTS xiii
Appendix A Gentle Introduction to Vectors and Matrices 469
Appendix B Properties of Expectations and Variances 479
Appendix C Critical Points for a 50:50 Mixture
of Chi Squared Distributions 483
References 485
Index 501
|
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| id | DE-604.BV019816429 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:06:29Z |
| institution | BVB |
| isbn | 0471214876 |
| language | English |
| lccn | 2004040891 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013141757 |
| oclc_num | 54529183 |
| open_access_boolean | |
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| owner_facet | DE-19 DE-BY-UBM DE-473 DE-BY-UBG DE-91G DE-BY-TUM DE-11 DE-578 |
| physical | XIX, 506 S. graph. Darst. 24 cm |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Wiley-Interscience |
| record_format | marc |
| series2 | Wiley series in probability and statistics |
| spellingShingle | Fitzmaurice, Garrett M. 1962- Laird, Nan M. 1943- Ware, James H. 1941- Applied longitudinal analysis Analyse de régression Analyse multivariée Análise de regressão e de correlação larpcal Análise multivariada larpcal Estatísticas de saúde larpcal Estudos longitudinais larpcal Longitudinaal onderzoek gtt Méthode longitudinale Statistique médicale Statistische analyse gtt Statistische methoden gtt aLongitudinal method aRegression analysis aMultivariate analysis aMedical statistics Längsschnittuntersuchung (DE-588)4034036-3 gnd |
| subject_GND | (DE-588)4034036-3 |
| title | Applied longitudinal analysis |
| title_auth | Applied longitudinal analysis |
| title_exact_search | Applied longitudinal analysis |
| title_full | Applied longitudinal analysis Garrett M. Fitzmaurice ; Nan M. Laird ; James H. Ware |
| title_fullStr | Applied longitudinal analysis Garrett M. Fitzmaurice ; Nan M. Laird ; James H. Ware |
| title_full_unstemmed | Applied longitudinal analysis Garrett M. Fitzmaurice ; Nan M. Laird ; James H. Ware |
| title_short | Applied longitudinal analysis |
| title_sort | applied longitudinal analysis |
| topic | Analyse de régression Analyse multivariée Análise de regressão e de correlação larpcal Análise multivariada larpcal Estatísticas de saúde larpcal Estudos longitudinais larpcal Longitudinaal onderzoek gtt Méthode longitudinale Statistique médicale Statistische analyse gtt Statistische methoden gtt aLongitudinal method aRegression analysis aMultivariate analysis aMedical statistics Längsschnittuntersuchung (DE-588)4034036-3 gnd |
| topic_facet | Analyse de régression Analyse multivariée Análise de regressão e de correlação Análise multivariada Estatísticas de saúde Estudos longitudinais Longitudinaal onderzoek Méthode longitudinale Statistique médicale Statistische analyse Statistische methoden aLongitudinal method aRegression analysis aMultivariate analysis aMedical statistics Längsschnittuntersuchung |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0104 MAT 627 2008 A 6370 Lageplan |
|---|---|
| Exemplar 1 | Nicht ausleihbar Am Standort |
Teilbibliothek Chemie, Lehrbuchsammlung
| Signatur: |
0303 MAT 627 2008 L 662 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |
| Exemplar 2 | Ausleihbar Am Standort |
| Exemplar 3 | Ausleihbar Am Standort |
| Exemplar 4 | Ausleihbar Am Standort |
| Exemplar 5 | Ausleihbar Am Standort |
| Exemplar 6 | Ausleihbar Am Standort |