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(Why) Does positive predictive value depend on sensitivity?

Assume there are two possible categories, coded as $0$ and $1$. Define positive predictive value (PPV) to be the probability that an observation really is in category $1$ when it is predicted as being ...
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Sensitivity of a diagnostic test

Diagnostic tests A1 and A2 are used to detect the presence or absence of a disease. The results of A1 and A2 are a priori independent of the presence or absence of the disease. A1 and A2 have ...