Applied survival analysis: regression modeling of time-to-event data
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Hoboken, NJ
Wiley-Interscience
2008
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Wiley series in probability and statistics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016355914&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIII, 392 S. graph. Darst. |
| ISBN: | 9780471754992 |
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| adam_text | Titel: Applied survival analysis
Autor: Hosmer, David W.
Jahr: 2008
Contents
Preface xi
1 Introduction to Regression Modeling
of Survival Data 1
1.1 Introduction, 1
1.2 Typical Censoring Mechanisms, 3
1.3 Example Data Sets, 9
Exercises, 13
2 Descriptive Methods for Survival Data 16
2.1 Introduction, 16
2.2 Estimating the Survival Function, 17
2.3 Using the Estimated Survival Function, 27
2.4 Comparison of Survival Functions, 44
2.5 Other Functions of Survival Time and Their Estimators, 59
Exercises, 65
3. Regression Models for Survival Data 67
3.1 Introduction, 67
3.2 Semi-Parametric Regression Models, 69
3.3 Fitting the Proportional Hazards Regression Model, 72
3.4 Fitting the Proportional Hazards Model with Tied
Survival Times, 85
3.5 Estimating the Survival Function of the Proportional
Hazards Regression Model, 87
Exercises, 90
vii
viii CONTENTS
4. Interpretation of a Fitted Proportional
Hazards Regression Model 92
4.1 Introduction, 92
4.2 Nominal Scale Covariate, 94
4.3 Continuous Scale Covariate, 106
4.4 Multiple-Covariate Models, 108
4.5 Interpreting and Using the Estimated Covariate-Adjusted
Survival Function, 121
Exercises, 130
5. Model Development 132
5.1 Introduction, 132
5.2 Purposeful Selection of Covariates, 133
5.2.1 Methods to examine the scale of continuous covariates
in the log hazard, 136
5.2.2 An example of purposeful selection of covariates, 141
5.3 Stepwise, Best-Subsets and Multivariable Fractional
PolynomialMethods of Selecting Covariates, 153
5.3.1 Stepwise selection of covariates, 154
5.3.2 Best subsets selection of covariates, 159
5.3.3 Selecting covariates and checking their scale using
multi variable fractional polynomials, 162
5.4 Numerical Problems, 166
Exercises, 168
6. Assessment of Model Adequacy 169
6.1 Introduction, 169
6.2 Residuals, 170
6.3 Assessing the Proportional Hazards Assumption, 177
6.4 Identification of Influential and Poorly Fit Subjects, 184
6.5 Assessing Overall Goodness-of-Fit, 191
6.6 Interpreting and Presenting Results From the Final Model, 195
Exercises, 205
7. Extensions of the Proportional Hazards Model 207
7.1 Introduction, 207
7.2 The Stratified Proportional Hazards Model, 208
7.3 Time-Varying Covariates, 213
7.4 Truncated, Left Censored and Interval Censored Data, 228
Exercises, 241
CONTENTS ix
8. Parametric Regression Models 244
8.1 Introduction, 244
8.2 The Exponential Regression Model, 246
8.3 The Weibull Regression Model, 260
8.4 The Log-Logistic Regression Model, 273
8.5 Other Parametric Regression Models, 283
Exercises, 283
9. Other Models and Topics 286
9.1 Introduction, 286
9.2 Recurrent Event Models, 287
9.3 Frailty Models, 296
9.4 Nested Case-Control Studies, 308
9.5 Additive Models, 314
9.6 Competing Risk Models, 329
9.7 Sample Size and Power, 340
9.8 Missing Data, 346
Exercises, 351
Appendix 1 The Delta Method 355
Appendix 2 An Introduction to the Counting Process
Approach to Survival Analysis 359
Appendix 3 Percentiles for Computation of the Hall
and Wellner Confidence Band 364
References 365
Index 383
|
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| author | Hosmer, David W. 1944- Lemeshow, Stanley 1948- May, Susanne 1964- |
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| author_role | aut aut aut |
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| dewey-tens | 610 - Medicine and health |
| discipline | Soziologie Mathematik Wirtschaftswissenschaften Medizin |
| edition | 2. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-12-20T13:09:45Z |
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| isbn | 9780471754992 |
| language | English |
| lccn | 2007035523 |
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| spellingShingle | Hosmer, David W. 1944- Lemeshow, Stanley 1948- May, Susanne 1964- Applied survival analysis regression modeling of time-to-event data Analyse de régression - Informatique Médecine - Recherche - Méthodes statistiques Pronostics (Pathologie) - Méthodes statistiques Sciences de la santé - Méthodes statistiques - Logiciels Datenverarbeitung Medizin Logistic Models Logistic distribution Mathematical Computing Medical sciences Statistical methods Computer programs Medicine Research Statistical methods Prognosis Prognosis Statistical methods Regression Analysis Regression analysis Data processing Survival Analysis Überleben (DE-588)4117273-5 gnd Regressionsanalyse (DE-588)4129903-6 gnd Medizinische Statistik (DE-588)4127563-9 gnd Statistische Analyse (DE-588)4116599-8 gnd Ereignisdatenanalyse (DE-588)4132103-0 gnd Zusammengesetzte Verteilung (DE-588)4191153-2 gnd Regressionsmodell (DE-588)4127980-3 gnd Prognose (DE-588)4047390-9 gnd |
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| title | Applied survival analysis regression modeling of time-to-event data |
| title_auth | Applied survival analysis regression modeling of time-to-event data |
| title_exact_search | Applied survival analysis regression modeling of time-to-event data |
| title_full | Applied survival analysis regression modeling of time-to-event data David W. Hosmer ; Stanley Lemeshow ; Susanne May |
| title_fullStr | Applied survival analysis regression modeling of time-to-event data David W. Hosmer ; Stanley Lemeshow ; Susanne May |
| title_full_unstemmed | Applied survival analysis regression modeling of time-to-event data David W. Hosmer ; Stanley Lemeshow ; Susanne May |
| title_short | Applied survival analysis |
| title_sort | applied survival analysis regression modeling of time to event data |
| title_sub | regression modeling of time-to-event data |
| topic | Analyse de régression - Informatique Médecine - Recherche - Méthodes statistiques Pronostics (Pathologie) - Méthodes statistiques Sciences de la santé - Méthodes statistiques - Logiciels Datenverarbeitung Medizin Logistic Models Logistic distribution Mathematical Computing Medical sciences Statistical methods Computer programs Medicine Research Statistical methods Prognosis Prognosis Statistical methods Regression Analysis Regression analysis Data processing Survival Analysis Überleben (DE-588)4117273-5 gnd Regressionsanalyse (DE-588)4129903-6 gnd Medizinische Statistik (DE-588)4127563-9 gnd Statistische Analyse (DE-588)4116599-8 gnd Ereignisdatenanalyse (DE-588)4132103-0 gnd Zusammengesetzte Verteilung (DE-588)4191153-2 gnd Regressionsmodell (DE-588)4127980-3 gnd Prognose (DE-588)4047390-9 gnd |
| topic_facet | Analyse de régression - Informatique Médecine - Recherche - Méthodes statistiques Pronostics (Pathologie) - Méthodes statistiques Sciences de la santé - Méthodes statistiques - Logiciels Datenverarbeitung Medizin Logistic Models Logistic distribution Mathematical Computing Medical sciences Statistical methods Computer programs Medicine Research Statistical methods Prognosis Prognosis Statistical methods Regression Analysis Regression analysis Data processing Survival Analysis Überleben Regressionsanalyse Medizinische Statistik Statistische Analyse Ereignisdatenanalyse Zusammengesetzte Verteilung Regressionsmodell Prognose |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016355914&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hosmerdavidw appliedsurvivalanalysisregressionmodelingoftimetoeventdata AT lemeshowstanley appliedsurvivalanalysisregressionmodelingoftimetoeventdata AT maysusanne appliedsurvivalanalysisregressionmodelingoftimetoeventdata |
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Handapparate (nicht verfügbar)
| Signatur: |
0048 MAT 628f 2001 A 18545(2) Lageplan |
|---|---|
| Exemplar 1 | Dauerhaft ausgeliehen Ausgeliehen – Rückgabe bis: 31.12.9999 |
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 628 2001 A 18545(2) Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |
| Exemplar 2 | Ausleihbar Am Standort |