Capture-Recapture Estimators in Epidemiology with Applications to Pertussis and Pneumococcal Invasive Disease Surveillance - Fig 7

<p>Overview of the IPD (left) and pertussis (right) data after matching.</p

Models selected by AIC.

<p>For log-linear models a selection was made out of all hierarchical models. For the multinomial models a selection was made out of all possible models, including those with probabilities conditional on covariates and mixtures. <i>p</i>₁ = p(sentinel), <i>p</i>₂ = p(hospital), <i>p</i>₃ = p(NRC), distance in meters, age in days. (*) parameters for the age and distance covariates were not estimable.</p

Overview of total population size estimation and absolute residuals by method (“loglinear” = red, “multinomial” = green, “bayesian method” = purple, “sample coverage” = cyan, “number of detected cases” = red) under random, increasing loss of data.

<p>Overview of total population size estimation and absolute residuals by method (“loglinear” = red, “multinomial” = green, “bayesian method” = purple, “sample coverage” = cyan, “number of detected cases” = red) under random, increasing loss of data.</p

Models with assumptions about the underlying dependency structure.

<p>For log-linear models a selection was made out of all hierarchical models. For the multinomial models a selection was made out of all possible models (including models with probabilities conditional on covariates, mixtures and previous detections). <i>p</i>₁ = p(sentinel), <i>p</i>₂ = p(hospital), <i>p</i>₃ = p(NRC), distance in meters, age in days, q = referrals, r = (re)detection probability conditional on previous detection, <i>p</i>₃<i>s</i>₁₁ = probability of detection in sample 3 conditional on detection in sample 1, <i>p</i>₃<i>s</i>₁₀ = probability of detection in sample 3 conditional on absence in sample 1, c = covariate-effect (notation in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0159832#pone.0159832.s001" target="_blank">S1 Appendix</a>).</p

Overview of the seven different estimators for the IPD study and their 95% confidence intervals.

<p>Overview of the seven different estimators for the IPD study and their 95% confidence intervals.</p

Boxplots of the obtained estimates per scenario and method.

<p>The models were chosen based on assumptions about the underlying dependency structure. The black line indicates the total population size, the red line indicates the average number of unique cases per scenario.</p

Overview of the seven different estimators for the pertussis study and their 95% confidence intervals.

<p>Overview of the seven different estimators for the pertussis study and their 95% confidence intervals.</p