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

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Chapter 11<br />

cl<strong>in</strong>icians to the Public Health Services and laboratories likely to actively approach<br />

cl<strong>in</strong>icians <strong>in</strong> case of falciparum malaria, a potentially short-term fatal illness requir<strong>in</strong>g<br />

immediate treatment, are identified <strong>in</strong> the data and <strong>in</strong>corporated <strong>in</strong> a relatively<br />

parsimonious log-l<strong>in</strong>ear capture-<strong>recapture</strong> model. In this model the absence of three-way<br />

<strong>in</strong>teraction, i.e. <strong>in</strong>teraction between all three registers, has to be assumed but, when<br />

present, three-way <strong>in</strong>teraction bias is arguably less than <strong>in</strong> a saturated capture-<strong>recapture</strong><br />

model, <strong>in</strong>corporat<strong>in</strong>g all two-way <strong>in</strong>teractions.<br />

For Legionnaires’ disease <strong>in</strong>ternal validity analysis and stratified capture<strong>recapture</strong><br />

analysis <strong>in</strong>dicated a significant <strong>in</strong>teraction between the notification and the<br />

laboratory registers. This <strong>in</strong>teraction is expected as the notification criteria specifically<br />

<strong>in</strong>clude laboratory diagnosis and at the time of this study many laboratories probably prenotified<br />

positive Legionella test results to public health physicians. Log-l<strong>in</strong>ear capture<strong>recapture</strong><br />

analysis for Legionnaires’ disease <strong>in</strong>cidence <strong>in</strong>itially selected the saturated model<br />

as the best-fitt<strong>in</strong>g model. However, capture-<strong>recapture</strong> models with a better fit do not<br />

necessarily produce a more reliable estimate. 10 Three-way <strong>in</strong>teraction cannot be<br />

<strong>in</strong>corporated <strong>in</strong> the saturated model and, when present, could render the estimates less<br />

valid. However, violation of the absent three-way <strong>in</strong>teraction assumption does not seem<br />

to expla<strong>in</strong> possible bias <strong>in</strong> the capture-<strong>recapture</strong> estimate for Legionnaires’ disease<br />

<strong>in</strong>cidence. This estimate is considered to be high while dependence between the registers<br />

is expected to be positive, result<strong>in</strong>g <strong>in</strong> underestimation, and the unbiased estimate would<br />

be even higher. 11-13<br />

The most significant (positive) <strong>in</strong>teractions between the registers are expected<br />

for tuberculosis, not only because tuberculosis is an <strong>in</strong>fectious disease with human to<br />

human transmission but also as a result of the well-organised system of tuberculosis<br />

control and surveillance <strong>in</strong> the Netherlands. Initially a saturated log-l<strong>in</strong>ear capture<strong>recapture</strong><br />

model, with the best goodness-of-fit, was selected but the estimate seemed<br />

implausibly high. For similar reasons as described for Legionnaires’ disease, violation of<br />

the absent three-way <strong>in</strong>teraction assumption cannot expla<strong>in</strong> bias <strong>in</strong> this estimate. After<br />

corrections for possible violations of the perfect record-l<strong>in</strong>kage and perfect positive<br />

predictive value assumptions, a relatively parsimonious log-l<strong>in</strong>ear capture-<strong>recapture</strong> model<br />

fitted the data best and gave a considerably lower and more plausible estimate. The two<br />

significant two-way <strong>in</strong>teractions <strong>in</strong> this model are between the notification and laboratory<br />

registers and between the notification and hospital registers. The first <strong>in</strong>teraction can be<br />

partially expla<strong>in</strong>ed by laboratory pre-notification and partially by tuberculosis control<br />

physicians, who are process<strong>in</strong>g the notifications, diagnos<strong>in</strong>g approximately one-third of all<br />

tuberculosis patients <strong>in</strong> the Netherlands, almost exclusively patients with pulmonary<br />

tuberculosis and a high bacteriological confirmation rate. The fact that <strong>in</strong> the Netherlands<br />

two-third of all tuberculosis cases are treated by a limited group of hospital-based<br />

cl<strong>in</strong>icians, often familiar with the notification procedures, and referral of patients by<br />

tuberculosis control physicians for further cl<strong>in</strong>ical evaluation or isolation could expla<strong>in</strong><br />

the <strong>in</strong>teraction between the notification and hospital registers. Perhaps the fact that most<br />

cases of extrapulmonary tuberculosis, less often culture-confirmed, are diagnosed <strong>in</strong> a<br />

hospital expla<strong>in</strong>s why <strong>in</strong> our capture-<strong>recapture</strong> model the <strong>in</strong>teraction between the<br />

laboratory and hospital registers is not significant.<br />

162

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