Sensitivity and Specificity Calculations for Health Science

Sensitivity and Specificity Calculations for Health Science

The prevalence of prostate cancer is 16% among men. Out of 20,000 men screened with the prostate specific antigen (PSA) test, 400 men with prostate cancer had a negative test results and 800 of the men without prostate cancer had positive test results.

i. Determine the specificity of the PSA test.
ii. Determine the sensitivity of the PSA test.
iii. What is the accuracy of this diagnostic test?

The prevalence of breast cancer is 12% among women. Out of 100,000 women screened for breast cancer, 11,000 women with breast cancer had a positive test result and 4,000 women without breast cancer had a positive test result.

i. Determine the specificity of the breast cancer screen.
ii. Determine the sensitivity of the breast cancer screen.
iii. What is the accuracy of this diagnostic screening?