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Glaziou edited subsubsection_Results_from_national_TB__.tex
over 8 years ago
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If both methods can be applied, results from two methods may be combined in a statistical ensemble approach as follows:
The incidence rate obtained using method $i$ is assumed distributed Beta with shape and scale parameters $a_i + 1$ and $b_i + 1$, respectively, and determined using the method of
moments: moments based on equation \ref{eq:betamoments}: $I_i \sim B(a_i + 1. b_i + 1)$ so that
\begin{align*}
Prob(x = \textrm{TB})= \int_{0}^{1} x B(a_i,b_i) dx = \frac{a_i+1}{a_i+b_i+2}