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Preface | |
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Introduction | |
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Preliminaries | |
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Censored Data | |
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Scope of the Book | |
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Functions of Survival Time | |
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Definitions | |
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Relationships of the Survival Functions | |
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Exercises | |
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Examples of Survival Data Analysis | |
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Example 3.1: Comparison of Two Treatments and Three Diets | |
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Example 3.2: Comparison of Two Survival Patterns Using Life Tables | |
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Example 3.3: Fitting Survival Distributions to Tumor-Free Times | |
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Example 3.4: Comparing Survival of a Cohort with that of a General Population - Relative Survival | |
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Example 3.5: Identification of Risk Factors for Incident Events | |
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Example 3.6: Identification of Risk Factors for the Prevalence of Age-Related Macular Degeneration | |
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Example 3.7: Identification of Significant Risk Factors for Incident Hypertension Using Related Data (Repeated Measurements) in a Longitudinal Study | |
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Exercises | |
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Nonparametric Methods of Estimating Survival Functions | |
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Product-Limit Estimates of Survivorship Function | |
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Nelson-Aalen Estimates of Survivorship Function | |
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Life-Table Analysis | |
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Relative Survival Rates | |
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Standardized Rates and Ratios | |
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Exercises | |
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Nonparametric Methods for Comparing Survival Distributions | |
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Comparison of Two Survival Distributions | |
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The Mantel and Haenszel Test | |
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Comparison of K (K > 2) Samples | |
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Exercises | |
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Some Well-Known Parametric Survival Distributions And Their Applications | |
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Exponential Distribution | |
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Weibull Distribution | |
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Lognormal Distribution | |
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Gamma, Generalized Gamma, and Extended Generalized Gamma Distributions | |
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Log-Logistic Distribution | |
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Other Survival Distributions | |
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Exercises | |
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Estimation Procedures for Parametric Survival Distributions Without Covariates | |
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General Maximum Likelihood Estimation Procedure | |
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Exponential Distribution | |
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Weibull Distribution | |
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Lognormal Distribution | |
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The Extended Generalized Gamma Distribution | |
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The Log-Logistic Distribution | |
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Gompertz Distribution | |
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Graphical Methods | |
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Exercises | |
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Tests of Goodness-of-Fit and Distribution Selection | |
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Goodness-of-Fit Test Statistics Based on Asymptotic Likelihood Inferences | |
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Tests for Appropriateness of a Family of Distributions | |
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Selection of a Distribution by Using BIC or AIC Procedure | |
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Tests for a Specific Distribution with Known Parameters | |
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Hollander and Proschan's Test for Appropriateness of a Given Distribution with Known Parameters | |
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Exercises | |
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Parametric Methods for Comparing Two Survival Distributions | |
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Log-Likelihood Ratio Test for Comparing Two Survival Distributions | |
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Comparison of Two Exponential Distributions | |
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Comparison of Two Weibull Distributions | |
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Comparison of Two Gamma Distributions | |
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Exercises | |
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Parametric Methods for Regression Model Fitting and Identification of Prognostic Factors | |
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Preliminary Examination of Data | |
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General Structure of Parametric Regression Models and Their Asymptotic Likelihood Inference | |
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Exponential AFT Model | |
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Weibull AFT Model | |
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Lognormal AFT Model | |
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The Extended Generalized Gamma AFT Model | |
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Log-Logistic AFT Model | |
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Other Parametric Regression Models | |
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Model Selection Methods | |
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Exercises | |
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Identification of Risk Factors Related to Survival Time: Cox Proportional Hazards Model | |
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The Proportional Hazards Model | |
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The Partial Likelihood Function | |
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Identification of Significant Covariates | |
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Estimation of the Survivorship Function with Covariates | |
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Adequacy Assessment of the Proportional Hazards Model | |
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Exercises | |
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Identification of Prognostic Factors Related to Survival Time: Non-Proportional Hazards Models | |
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Models with Time-Dependent Covariates | |
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Stratified Proportional Hazards Model | |
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Competing Risks Model | |
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Recurrent Event Models | |
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Models for Related Observations | |
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Exercises | |
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Identification of Risk Factors Related to Dichotomous and Polychotomous Outcomes | |
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Univariate Analysis | |
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Logistic and Conditional Logistic Regression Models for Dichotomous Outcomes | |
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Models for Polychotomous Outcomes | |
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Models for Related Observations | |
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Exercises | |
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Appendix | |
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References | |
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Index | |