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INDEX

SURVIVAL ANALYSIS: TECHNIQUES FOR CENSORED AND TRUNCATED DATA

1. Examples Of Survival Data
1.1 Introduction
1.2 Remission Duration From A Clinical Trial For Acute Leukemia
1.3 Bone Marrow Transplantation For Leukemia
1.4 Times To Infection Of Kidney Dialysis Patients
1.5 Times To Death For A Breast Cancer Trial
1.6 Times To Infection For Burn Patients
1.7 Death Times Of Kidney Transplant Patients
1.8 Death Times Of Male Larynx Cancer Patients
1.9 Autologous And Allogeneic Bone Marrow Transplants
1.8 Bone Marrow Transplants For Hodgkin's And Non Hodgkin's Lymphoma
1.11 Times To Death For Patients With Cancer Of The Tongue
1.12 Times To Reinfection For Patients With Sexually Transmitted Diseases
1.13 Times To Hospitalized Pneumonia In Young Children
1.14 Times To Weaning Of Breast Fed Newborns
1.15 Death Times Of Psychiatric Patients
1.16 Death Times Of Elderly Residents Of A Retirement Community
1.17 Time To First Use Of Marijuana
1.18 Time To Cosmetic Deterioration Of Breast Cancer Patients
1.19 Time To Aids
2. Basic Quantities And Models
2.1 Introduction
2.2 The Survival Function
2.3 The Hazard Function
2.4 The Mean Residual Life Function And Median Life
2.5 Common Parametric Models For Survival Data
2.6 Regression Models For Survival Data
2.7 Exercises
3. Censoring And Truncation
3.1 Introduction
3.2 Right Censoring
3.3 Left Or Interval Censoring
3.4 Truncation
3.5 Likelihood Construction For Censored And Truncated Data
3.6 Counting Processes
3.7 Exercises
4. Nonparametric Estimation Of Basic Quantities
4.1 Introduction
4.2 Estimators Of The Survival And Cumulative Hazard Functions For Right Censored Data
4.3 Pointwise Confidence Intervals For The Survival Function
4.4 Confidence Bands For The Survival Function
4.5 Point And Interval Estimates Of The Mean And Median Survival Time
4.6 Estimators Of The Survival Function For Left Truncated And Right Censored Data
4.7 Exercises
5. Estimation Of Basic Quantities For Other Sampling Schemes
5.1 Introduction
5.2 Estimation Of The Survival Function For Left, Double And Interval Censoring
5.3 Estimation Of The Survival Function For Right Truncated Data
5.4 Estimation Of Survival In The Cohort Life Table
5.5 Exercises
6. Topics In Univariate Estimation
6.1 Introduction
6.2 Estimating The Hazard Function
6.3 Estimation Of Excess Mortality
6.4 Bayesian Nonparametric Methods
6.5 Exercises
7. Tests Based On Comparing Observed And Expected Hazard Rates
7.1 Introduction
7.2 One Sample Tests
7.3 Tests For Two Or More Samples
7.4 Tests For Trend
7.5 Stratified Tests
7.6 Renyi Type Tests
7.7 Other Two Sample Tests
7.8 Exercises
8. Semi-Parametric Proportional Hazards Regression With Fixed Covariates
8.1 Introduction
8.2 Partial Likelihoods For Distinct Event Time Data
8.3 Partial Likelihoods When Ties Are Present
8.4 Local Tests
8.5 Model Building Using The Proportional Hazards Model
8.6 Estimation Of The Survival Function
8.7 Exercises
9. Refinements Of The Semi-Parametric Proportional Hazards Regression Model
9.1 Introduction
9.2 Time Dependent Covariates
9.3 Stratified Proportional Hazards Models
9.4 Left Truncation
9.5 Synthesis Of Time Varying Effects (Multistate Modeling)
9.6 Exercises
10. Additive Hazards Regression Models
10.1 Introduction
10.2 Least Squares Estimation For The Nonparametric Additive Hazard Model
10.3 Testing In The Nonparametric Additive Hazards Model
10.4 Exercises
11. Regression Diagnostics
11.1 Introduction
11.2 Cox-Snell Residuals For Assessing The Fit Of A Cox Model
11.3 Determining The Functional Form Of A Covariate: Martingale Residuals
11.4 Graphical Checks Of The Proportional Hazards Assumption
11.5 Deviance Residuals
11.6 Checking The Influence Of Individual Observations
11.7 Assessing The Fit Of The Additive Model
11.8 Exercises
12. Parametric Methods For Survival Analysis
12.1 Introduction
12.2 Weibull Distribution
12.3 Log Logistic Distribution
12.4 Other Parametric Models
12.5 Diagnostic Methods For Parametric Models
12.6 Exercises
13. Multivariate Survival Analysis
13.1 Introduction
13.2 Score Tests For Association
13.3 Estimation For The Gamma Frailty Model
13.4 Marginal Model For Multivariate Survival
13.5 Exercises
Appendix A. Numerical Techniques For Maximization
Appendix B. Large Sample Tests Based On Likelihood Theory
Appendix C. Statistical Tables
C.1 The Standard Normal Survival Function
C.2 Upper Percentiles Of A Chi-Square Distribution
C.3 Confidence Coefficients For EP Confidence Bands
C.4 Confidence Coefficients For The Hall-Wellner Confidence Bands
C.5 Survival Function Of The Supremum Of The Absolute Value Of A Standard Brownian Motion Process Over The Range 0 To 1
C.6 Survival Function Of W= [B(t)]2, Where B(t) Is A Standard Brownian Motion
C.7 Upper Percentiles of R = |Bo(t)|, Where Bo(t) Is A Brownian Bridge
Appendix D. Selected Data Sets
D.1 Data On 137 Bone Marrow Transplant Patients
D.2 Data On 154 Burn Patients
D.3 Death Times Of Kidney Transplant Patients
D.4 Data On 90 Patients With Cancer Of The Larynx
D.5 Data On Residents Of A Retirement Community
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