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

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Chapter 9<br />

A further limitation is that persons <strong>in</strong> the target group could have <strong>in</strong>dicated on<br />

the day of screen<strong>in</strong>g that recently a chest X-ray was taken <strong>in</strong> the MDXU, a general<br />

hospital, upon detention <strong>in</strong> prison or at the Tuberculosis Control Section upon referral,<br />

exempt<strong>in</strong>g them from the screen<strong>in</strong>g exercise. This <strong>in</strong>formation, together with improved<br />

experience, better co-ord<strong>in</strong>ation and UMTS access over the years, would prevent some<br />

clients from be<strong>in</strong>g recorded twice or more than twice yearly <strong>in</strong> the screen<strong>in</strong>g programme,<br />

as is reflected <strong>in</strong> Table 9.2, lead<strong>in</strong>g to overestimation, but we assume this effect to be<br />

limited.<br />

Cross-validation of the estimates of the target group<br />

The number of problematic illicit drug users <strong>in</strong> Rotterdam, already <strong>in</strong>clud<strong>in</strong>g many<br />

homeless persons, was most recently estimated <strong>in</strong> 2003 with two-source capture-<strong>recapture</strong><br />

analysis, us<strong>in</strong>g a similar case-def<strong>in</strong>ition, which observed and estimated 1910 and 2856<br />

clients respectively. 39 These numbers are similar to our results <strong>in</strong> 2003.<br />

Alternative simple truncated models<br />

Although we used truncated Poisson mixture models, an alternative is to use a truncated<br />

b<strong>in</strong>omial model such as est(N) = obs(N) + (f1) 2 /4f2. This model, close to Chao’s model,<br />

estimates a lower number of 2432, 2181 and 2015 illicit drug users and homeless persons<br />

<strong>in</strong> 2003, 2004 and 2005 respectively, result<strong>in</strong>g <strong>in</strong> a slightly higher estimated coverage of<br />

the screen<strong>in</strong>g programme.<br />

Conclusion<br />

Although the limitations of the s<strong>in</strong>gle-source truncated models should be appreciated and<br />

bias cannot be excluded, alternative methods for estimat<strong>in</strong>g the number of illicit drug<br />

users and homeless persons have their own restrictions. Conventional two-source and<br />

three-source capture-<strong>recapture</strong> analysis have similar underly<strong>in</strong>g assumptions and hence<br />

limitations, and for hidden populations sufficient adequate registers for record-l<strong>in</strong>kage<br />

may not be available. Compared to alternative estimators the ease of use of the truncated<br />

models is appeal<strong>in</strong>g. We could extract, check and prepare the required data from an<br />

exist<strong>in</strong>g rout<strong>in</strong>e dataset <strong>in</strong> two days and calculate the po<strong>in</strong>t estimates on a pocket<br />

calculator. We assume the most likely overall bias <strong>in</strong> this study to be overestimation and<br />

therefore the coverage of the targeted mobile tuberculosis screen<strong>in</strong>g programme among<br />

problematic illicit drug users and homeless persons <strong>in</strong> Rotterdam would be higher than<br />

the 63% one chest X-ray per year and 21-25% for at least two chest X-rays per year,<br />

especially among those with the highest risk.<br />

Acknowledgements<br />

We thank Monica Straal, software application manager of the Tuberculosis Control<br />

Section for assistance <strong>in</strong> prepar<strong>in</strong>g the f<strong>in</strong>al data file.<br />

134

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