If the sensitivity is 94%, specificity is 98%, the PPV is found to be 91% and the NPV is 96%, what is the accuracy?

To determine the accuracy of a test given its sensitivity, specificity, positive predictive value (PPV), and negative predictive value (NPV), we can use the following formula:

Accuracy = (True Positives + True Negatives) / Total Population

While sensitivity and specificity give us an understanding of how well the test identifies positive and negative cases, PPV and NPV add context regarding the proportion of true positive and true negative results among those who test positive or negative.

Given the percentages:

• Sensitivity (TPR) = 94%, which indicates that 94% of actual positives are identified correctly.
• Specificity (TNR) = 98%, which indicates that 98% of actual negatives are correctly identified.
• PPV = 91%, which tells us that among all those who tested positive, 91% actually have the disease.
• NPV = 96%, meaning that among those who tested negative, 96% truly do not have the disease.

Accuracy can also be influenced by the prevalence of the disease in the population being tested, but with the information provided, a calculated estimate of accuracy can be derived.

If we assume a population of 100 individuals, the simplified calculations based on the provided percentages would yield