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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 ...
Dave's user avatar
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Post test probability with a ROC curve

I have data that is normally distributed related to risk of a particular disease. At the median of the distribution, you would expect to observe the population prevalence level of disease P0=0.01. For ...
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2 answers
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Chances of testing negative

Buddy takes a test and tests positive for a disease. Buddy was close to $6$ other friends they all take the same test and end up testing negative. The test has a $FPR=0.01$ and a $FNR=0.15$. What's ...
User_13's user avatar
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2 votes
1 answer
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"Posterior" Sensitivity and Specificity in Classification

Let's set aside what we know about proper scoring rules and predicting probabilities; let's do CLASSIFICATION. Define sensitivity as the ability to call an observation a $1$ if it really is a $1$: $ \...
Dave's user avatar
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1 vote
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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 ...
Curiouslilac's user avatar