A graph of specificity and sensitivity against p. The sensitivity is constant at 1, while the specificity is very close to 1 for all p up to about 0.9, where it rapidly decreases to 0 at p=1.

We can see how the sensitivity and specificity change as $?$ increases. This graph uses $lambda = ?− (?/?)^{??}$, but the basic shape of the pink graph would be the same if $lambda$ was larger.

David teaches and researches maths at King’s College London, with a focus on geometry. In his spare time he likes to make music and read poetry.

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