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Preface | |
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Biostatistics and Biomedical Science | |
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Statistics and the Scientific Method | |
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Biostatistics | |
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Natural History of Disease Progression | |
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Types of Biomedical Studies | |
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Studies of Diabetic Nephropathy | |
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Relative Risk Estimates and Tests for Independent Groups | |
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Probability As a Measure of Risk | |
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Measures of Relative Risk | |
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Large Sample Distribution | |
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Sampling Models Likelihoods | |
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Exact Inference | |
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Large Sample Inferences | |
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SAS PROC FREQ | |
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Other Measures of Differential Risk | |
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Polychotomous and Ordinal Data | |
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Two Independent Groups With Polychotomous Response | |
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Multiple Independent Groups | |
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Problems | |
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Sample Size, Power, and Efficiency | |
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Estimation Precision | |
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Power of Z-Tests | |
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Test for Two Proportions | |
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Power of Chi-Square Tests | |
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SAS PROC POWER | |
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Efficiency | |
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Problems | |
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Stratified-Adjusted Analysis for Independent Groups | |
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Introduction | |
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Mantel-Haenszel Test and Cochran's Test | |
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Stratified-Adjusted Estimators | |
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Nature of Covariate Adjustment | |
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Multivariate Tests of Hypotheses | |
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Tests of Homogeneity | |
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Efficient Tests of No Partial Association | |
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Asymptotic Relative Efficiency of Competing Tests | |
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Maximin Efficient Robust Tests | |
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Random Effects Model | |
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Power and Sample Size for Tests of Association | |
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Polychotomous and Ordinal Data | |
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Problems | |
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Case-Control and Matched Studies | |
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Unmatched Case-Control (Retrospective) Sampling | |
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Matching | |
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Tests of Association for Matched Pairs | |
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Measures of Association for Matched Pairs | |
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Pair-Matched Retrospective Study | |
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Power Function of McNemar's Test | |
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Stratified Analysis of Pair-Matched Tables | |
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Multiple Matching-Mantel-Haenszel Analysis | |
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Matched Polychotomous Data | |
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Problems | |
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Applications of Maximum Likelihood and Efficient Scores | |
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Binomial | |
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2x2 Table: Product Binomial (Unconditionally) | |
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2x2 Table, Conditionally | |
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Score-Based Estimate | |
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Stratified Score Analysis of Independent 2x2 Tables | |
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Matched Pairs | |
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Iterative Maximum Likelihood | |
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Problems | |
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Logistic Regression Models | |
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Unconditional Logistic Regression Model | |
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Interpretation of the Logistic Regression Model | |
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Tests of Significance | |
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Interactions | |
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Measures of the Strength of Association | |
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Conditional Logistic Regression Model for Matched Sets | |
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Models for Polychotomous or Ordinal Data | |
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Random Effects and Mixed Models | |
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Models for Multivariate or Repeated Measures | |
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Problems | |
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Analysis of Count Data | |
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Event Rates and the Homogeneous Poisson Model | |
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Over-Dispersed Poisson Model | |
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Poisson Regression Model | |
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Over-Dispersed and Robust Poisson Regression | |
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Conditional Poisson Regression for Matched Sets | |
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Negative Binomial Models | |
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Power and Sample Size | |
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Multiple Outcomes | |
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Problems | |
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Analysis of Event-Time Data | |
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Introduction to Survival Analysis | |
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Lifetable Construction | |
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Family of Weighted Mantel-Haenszel Tests | |
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Proportional Hazards Models | |
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Evaluation of Sample Size and Power | |
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Additional Models | |
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Analysis of Recurrent Events | |
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Problems | |
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Appendix Statistical Theory | |
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Introduction 535 | |
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Central Limit Theorem and the Law of Large Numbers | |
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Delta Method | |
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Slutsky's Convergence Theorem | |
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Least Squares Estimation | |
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Maximum Likelihood Estimation and Efficient Scores | |
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Tests of Significance | |
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Explained Variation | |
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Robust Inference | |
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Generalized Linear Models and Quasi-Likelihood | |
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Generalized Estimating Equations (GEE) | |
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References | |