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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 | |