Statistical Estimation of Epidemiological Risk

About the author.Preface. 1 Population Proportion or Prevalence.1.1 Binomial sampling.1.2 Cluster sampling.1. 3 Inverse sampling.Exercises. References.2 Risk Difference.2.1 Independent binomial sampling.2.2 A series of independent binomial sampling procedures.2.2.1 Summary interval estimators.2.2.2 Test for the homogeneity of risk difference.2.3 Independent cluster sampling.2. 4 Paired-sample data.2. 5 Independent negative binomial sampling (inverse sampling). 2.6 Independent poisson sampling.2. 7 Stratified poisson sampling.Exercises. References.3 Relative Difference.3. 1 Independent binomial sampling.3. 2 A series of independent binomial sampling procedures.3. 2.1 Asymptotic interval estimators.3. 2.2 Test for the homogeneity of relative difference.3. 3 Independent cluster sampling.3. 4 Paired-sample data.3. 5 Independent inverse sampling.Exercises. References.4 Relative Risk.4. 1 Independent binomial sampling.4. 2 A series of independent binomial sampling procedures.4. 2.1 Asymptotic interval estimators.4. 2.2 Test for the homogeneity of risk ratio.4. 3 Independent cluster sampling.4. 4 Paired-sample data.4. 5 Independent inverse sampling.4. 5.1 Uniformly minimum variance unbiased estimator of relative risk.4. 5.2 Interval estimators of relative risk.4. 6 Independent poisson sampling.4. 7 Stratified poisson sampling.Exercises. References.5 Odds Ratio.5.1 Independent binomial sampling.5.1.1 Asymptotic interval estimators.5.1.2 Exact confidence interval.5.2 A series of independent binomial sampling procedures.5.2.1 Asymptotic interval estimators.5.2.2 Exact confidence interval.5.2.3 Test for homogeneity of the odds ratio.5. 3 Independent cluster sampling.5. 4 One-to-one matched sampling.5. 5 Logistic modeling.5. 5.1 Estimation under multinomial or independent binomial sampling.5. 5.2 Estimation in the case of paired-sample data.5. 6 Independent inverse sampling.5. 7 Negative multinomial sampling for paired-sample data.Exercises. References.6 Generalized Odds Ratio.6. 1 Independent multinomial sampling.6. 2 Data with repeated measurements (or under cluster sampling). 6.3 Paired-sample data.6. 4 Mixed negative multinomial and multinomial sampling.Exercises. References.7 Attributable Risk.7. 1 Study designs with no confounders.7. 1.1 Cross-sectional sampling.7. 1.2 Case-control studies.7. 2 Study designs with confounders.7. 2.1 Cross-sectional sampling.7. 2.2 Case-control studies.7. 3 Case-control studies with matched pairs.7. 4 Multiple levels of exposure in case-control studies.7. 5 Logistic modeling in case-control studies.7. 5.1 Logistic model containing only the exposure variables of interest.7. 5.2 Logistic regression model containing both exposure and confounding variables.7. 6 Case-control studies under inverse sampling.Exercises. References.8 Number Needed to Treat.8. 1 Independent binomial sampling.8. 2 A series of independent binomial sampling procedures.8. 3 Independent cluster sampling.8. 4 Paired-sample data.Exercises. References.Appendix Maximum Likelihood Estimator and Large-Sample Theory.A. 1: The maximum likelihood estimator, Wald's test, the score test, and the asymptotic likelihood ratio test.A. 2: The delta method and its applications.References. Answers to Selected Exercises.Index.