Example: CFA
Let's look at an example.
A clinical trial is conducted to evaluate a diagnostic screening test designed to detect chromosomal foetal abnormalities (CFA). CFA are confirmed using amniocentesis (considered here as the gold standard).
The screening test is performed on a random sample of 200
pregnant women, who later undergo an amniocentesis. The following 2 x 2
cross-tabulation table summarizes the screening test results:
CFA + |
CFA - | Total | |
Test + |
a 14 |
b 64 |
78 |
Test - | c 6 |
d 116 |
122 |
Total | 20 |
180 | 200 |
The test characteristics are as follows:
SE = P (Test+ | CFA+) = 14/20 = 70.0 %
In words: 70% of all chromosomal foetal abnormalities (classified through amniocentesis) are detected by the new CFA screening test, and 30% are missed (not detected).
SP = P (Test- | CFA-) = 116/180 = 64.4 %
In words: 64.4% of CFA-negative (healthy) women have a negative test result, and 35.6% have a false positive test result.
At this point one has to consider the consequences especially of a false negative, true positive and false positive test result in order to decide whether the new test is helpful in the given situation.