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Interventions for Tuberculosis Control and Elimination 2002

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the number of person-years of observation. The measures are incidence<br />

rates among the exposed <strong>and</strong> unexposed <strong>and</strong> the summary measure is the<br />

relative risk (the risk among the exposed divided by the risk among the<br />

unexposed). Vaccine efficacy (in per cent) is calculated as (1 – relative<br />

risk) × 100. 732 The 95% confidence intervals were calculated (or recalculated,<br />

where appropriate) using the <strong>for</strong>mula proposed by Orenstein in his<br />

review on assessment of vaccine efficacy, 732 unless adjusted or stratified<br />

summary estimates were provided by the authors.<br />

To defray the costs incurred in clinical trials <strong>and</strong> to obtain results more<br />

quickly, it was proposed to ascertain the effectiveness of BCG vaccination<br />

by means of (retrospective) case-control studies. 733 Briefly, case-control<br />

studies start with looking at the outcome (tuberculosis) <strong>and</strong> then ascertain<br />

exposure (BCG vaccination given or not) in a group of patients with the<br />

outcome, compared to an appropriately selected control group of persons<br />

without the outcome (table 10). 734 A relative risk cannot be calculated as<br />

this measurement is confined to population-based studies. The measurement<br />

of risk in a case-control study is the odds ratio (or relative odds). For<br />

rare diseases the odds ratio approximates the relative risk in a clinical trial.<br />

The advantages <strong>and</strong> disadvantages in the use of the case-control approach<br />

are linked to its being observational, having subjects selected on the basis<br />

of disease status, <strong>and</strong> using controls from the population from which the<br />

cases emanated. 735 The advantages of case-control studies include avoidance<br />

of ethical problems arising in situations where there is already evidence<br />

that the vaccine is better than placebo; allowing much faster conduct than<br />

r<strong>and</strong>omized trials; <strong>and</strong> requiring a much smaller number of subjects. They<br />

are thus substantially cheaper to conduct than r<strong>and</strong>omized clinical trials. 735<br />

The most challenging difficulty in the design of case-control studies<br />

is the selection of appropriate controls in that they have to be selected in<br />

such a way that they are comparable to cases in every respect except <strong>for</strong><br />

the outcome. Selection bias resulting from a failure to ensure this comparability<br />

may thus invalidate any findings.<br />

The results of some of these case-control studies are summarized<br />

below. Vaccine effectiveness (in per cent) from a case-control study is<br />

estimated as (1 – odds ratio) × 100. 732 For unmatched case-control studies,<br />

the 95% confidence intervals were calculated (or recalculated where<br />

appropriate) using Woolf’s method. 734 For matched <strong>and</strong> adjusted analyses,<br />

the confidence interval published by the authors of the study was chosen.<br />

If not stated <strong>for</strong> matched studies, the confidence interval around the crude<br />

odds ratio was calculated as above.<br />

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