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Rob van Hest Capture-recapture Methods in Surveillance - RePub ...

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Chapter 1<br />

source capture-<strong>recapture</strong> analysis, result<strong>in</strong>g <strong>in</strong> a covariate log-l<strong>in</strong>ear model <strong>in</strong> order to<br />

reduce bias due to expected and observed geographical heterogeneity among the<br />

Legionnaires’ disease patients. In Chapter 6 we estimate the completeness of notification<br />

of <strong>in</strong>cident tuberculosis cases <strong>in</strong> the Netherlands. We describe a systematic process of<br />

record-l<strong>in</strong>kage of three tuberculosis registers, cross-validation with four other<br />

tuberculosis-related registers, case-ascerta<strong>in</strong>ment and conventional capture-<strong>recapture</strong><br />

analysis, <strong>in</strong>itially result<strong>in</strong>g <strong>in</strong> a saturated log-l<strong>in</strong>ear model, and demonstrate the effect of<br />

possible violation of the perfect record-l<strong>in</strong>kage and perfect positive predictive value of<br />

registers assumptions.<br />

To address the second research question of this thesis, we show <strong>in</strong> Chapter 6<br />

how a well-organised system of tuberculosis control <strong>in</strong> the Netherlands allows us to<br />

correct an implausible high number of tuberculosis patients estimated by a saturated logl<strong>in</strong>ear<br />

model <strong>in</strong> a capture-<strong>recapture</strong> study at the national level for one year. We <strong>in</strong>troduce<br />

the application of a truncated Poisson model, related to capture-<strong>recapture</strong> analysis, to<br />

cross-validate the conventional capture-<strong>recapture</strong> estimates. In Chapter 7 we describe a<br />

relatively uncomplicated conventional three-source capture-<strong>recapture</strong> study to estimate<br />

tuberculosis <strong>in</strong>cidence and completeness of the tuberculosis registration systems at the<br />

regional level <strong>in</strong> the Piedmont Region <strong>in</strong> Italy for one year, result<strong>in</strong>g <strong>in</strong> a parsimonious<br />

log-l<strong>in</strong>ear model. We show how the regional scale of the study, a limited number of<br />

patients and favourable privacy regulations made <strong>in</strong>spection of all cl<strong>in</strong>ical files possible<br />

and allowed for identification of a considerable number of false-positive cases <strong>in</strong> the<br />

hospital register. In Chapter 8 we show the ad<strong>van</strong>tage of two rout<strong>in</strong>ely l<strong>in</strong>ked<br />

tuberculosis registers, as part of Enhanced Tuberculosis <strong>Surveillance</strong> <strong>in</strong> England, <strong>in</strong> a<br />

three-source capture-<strong>recapture</strong> study at the national level for four years. Due to the scale<br />

of this study as a disad<strong>van</strong>tage sophisticated record-l<strong>in</strong>kage software was needed to l<strong>in</strong>k<br />

the hospital records as a third data source and a population mixture model had to be<br />

specified to estimate the proportion of false-positive cases among the unl<strong>in</strong>ked hospitalderived<br />

tuberculosis records. The f<strong>in</strong>al tuberculosis <strong>in</strong>cidence estimates of the saturated<br />

capture-<strong>recapture</strong> models are cross-validated with a structural source model, a truncated<br />

Poisson model and a truncated Poisson mixture model.<br />

To address the third research question of this thesis <strong>in</strong> Chapter 9 we estimate<br />

the coverage of a mobile targeted digital X-ray tuberculosis screen<strong>in</strong>g programme for<br />

illicit drug users and homeless persons <strong>in</strong> Rotterdam with Chao’s truncated heterogeneity<br />

model and Zelterman’s truncated Poisson mixture model. We show how truncated<br />

population estimation models can be used relatively easily when only one data source is<br />

available. In Chapter 10 we re-exam<strong>in</strong>e 19 published and current <strong>in</strong>ternational threesource<br />

log-l<strong>in</strong>ear capture-<strong>recapture</strong> datasets on estimat<strong>in</strong>g tuberculosis and other<br />

<strong>in</strong>fectious disease <strong>in</strong>cidence and completeness of registration, with various truncated<br />

population estimation models and discuss the performance of these alternative models.<br />

The General Discussion (Chapter 11) provides answers to the research<br />

questions of this thesis and discusses aspects of the feasibility and validity of three-source<br />

log-l<strong>in</strong>ear capture-<strong>recapture</strong> analysis and related truncated population estimators for<br />

estimat<strong>in</strong>g the <strong>in</strong>cidence of tuberculosis and other <strong>in</strong>fectious diseases, and lists the<br />

conclusions and recommendations.<br />

18

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