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# Negative predictive value

The negative predictive value is the proportion of patients with negative test results who are correctly diagnosed.

## Definition

The Negative Predictive Value can be defined as:

$NPV = frac\left\{rm number of True Negatives\right\}\left\{\left\{rm number of True Negatives\right\}+\left\{rm number of False Negatives\right\}\right\}$

or, alternatively,

$NPV = frac\left\{\left(\left\{rm specificity\right\}\right) \left(\left\{rm 1 - prevalence\right\}\right)\right\}\left\{\left(\left\{rm specificity\right\}\right) \left(\left\{rm 1 - prevalence\right\}\right) + \left(1 - \left\{rm sensitivity\right\}\right) \left(\left\{rm prevalence\right\}\right)\right\}$