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Preface | |
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Introduction to Regression Modeling of Survival Data | |
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Introduction | |
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Typical Censoring Mechanisms | |
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Example Data Sets | |
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Exercises | |
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Descriptive Methods for Survival Data | |
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Introduction | |
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Estimating the Survival function | |
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Using the Estimated Survival function | |
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Comparison of Survival Functions | |
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Other Functions of Survival Time and Their Estimators | |
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Exercises | |
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Regression Models for Survival Data | |
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Introduction | |
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Semi-Parametric Regression Models | |
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Fitting the Proportional Hazards Regression Model | |
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Fitting the Proportional Hazards Model with Tied Survival Times | |
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Estimating the Survival Function of the Proportional Hazards Regression Model | |
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Exercises | |
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Interpretation of a Fitted Proportional Hazards Regression Model | |
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Introduction | |
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Nominal Scale Covariate | |
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Continuous Scale Covariate | |
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Multiple-Covariate Models | |
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Interpreting and Using the Estimated Covariate-Adjusted Survival function | |
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Exercises | |
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Model Development | |
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Introduction | |
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Purposeful Selection of Covariates | |
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Methods to examine the scale of continuous covariates in the log hazard | |
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An example of purposeful selection of covariates | |
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Stepwise, Best-Subsets and Multivariable Fractional Polynomial Methods of Selecting Covariates | |
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Stepwise selection of covariates | |
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Best subsets selection of covariates | |
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Selecting covariates and checking their scale using multivariable fractional polynomials | |
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Numerical Problems | |
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Exercises | |
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Assessment of Model Adequacy | |
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Introduction | |
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Residuals | |
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Assessing the Proportional Hazards Assumption | |
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Identification of Influential and Poorly Fit Subjects | |
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Assessing Overall Goodness-of-Fit | |
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Interpreting and Presenting Results From the Final Model | |
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Exercises | |
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Extensions of the Proportional Hazards Model | |
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Introduction | |
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The Stratified Proportional Hazards Model | |
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Time-Varying Covariates | |
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Truncated, Left Censored and Interval Censored Data | |
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Exercises | |
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Parametric Regression Models | |
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Introduction | |
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The Exponential Regression Model | |
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The Weibull Regression Model | |
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The Log-Logistic Regression Model | |
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Other Parametric Regression Models | |
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Exercises | |
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Other Models and Topics | |
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Introduction | |
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Recurrent Event Models | |
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Frailty Models | |
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Nested Case-Control Studies | |
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Additive Models | |
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Competing Risk Models | |
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Sample Size and Power | |
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Missing Data | |
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Exercises | |
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The Delta Method | |
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An Introduction to the Counting Process Approach to Survival Analysis | |
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Percentiles for Computation of the Hall and Wellner Confidence Band | |
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