An X-Ray-based lung cancer detection algorithm has the following statistics base

Question

An X-Ray-based lung cancer detection algorithm has the following statistics based on 150 patients, of which 23 patients are known with certainty to have lung cancer based on a lung tissue biopsy, while the others are known not to have lung cancer. Patient counts in the four detection categories are as follows:

•        True Positives: 15.

•        True Negatives: 95.

•        False Negatives: x.

•        False Positives: y.

What are x and y? Using your values for x and y, compute Sensitivity, Specificity and Accuracy of the X-Ray lung cancer detection system.  

Explanation / Answer

False negative x = 23 - 15 = 8

False positive y = (150 - (8 + 95)) - 15 = 32

sensitivity = 15/(15 + 8) * 100 = 65.2%

specificity = 95/(32 + 95) * 100 = 74.8%

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