D. 890/894 = 99.6% – Explanation
A contingency table can be constructed from the above data, as shown below:
Ovarian cancer | No ovarian cancer | |
Test positive | 16 | 10 |
Test negative | 4 | 890 |
The negative predictive value = TN / (TN + FN) = 890 / (890 + 4) = 890/894
Screening test statistics
It would be unusual for a medical exam not to feature a question based around screening test
statistics. The available data should be used to construct a contingency table as below:
TP = true positive; FP = false positive; TN = true negative; FN = false negative
Disease present | Disease absent | |
Test positive | TP | FP |
Test negative | FN | TN |
The table below lists the main statistical terms used in relation to screening tests:
Sensitivity | TP / (TP + FN ) | Proportion of patients with the condition who have a positive test result |
(1 – sensitivity) / specificity | TN / (TN + FP) | Proportion of patients without the condition who have a negative test result |
Positive predictive value | TP / (TP + FP) | The chance that the patient has the condition if the diagnostic test is positive |
Negative predictive value | TN / (TN + FN) | The chance that the patient does not have the condition if the diagnostic test is negative |
Likelihood ratio for a positive test result |
sensitivity / (1 – specificity) | How much the odds of the disease increase when a test is positive |
Likelihood ratio for a negative test result |
(1 – sensitivity) / specificity | How much the odds of the disease decrease when a test is negative |
Positive and negative predictive values are prevalence dependent. Likelihood ratios are not
prevalence dependent