|
Overview :
Youden's index is one way to attempt summarizing test
accuracy into a single numeric value.
Youden's index =
= 1 - ((false positive rate) + (false negative rate))
= 1 - ((1 - (sensitivity)) + (1 - (specificity)))
= (sensitivity) + (specificity) - 1
It may also be expressed as:
Youden's index =
= ( a / (a + b)) + (d / (c + d)) - 1 =
= ((a * d) - (b * c)) / ((a + b) * (c + d))
where:
• a + b = people with disease
• c + d = people without disease
• a = people with disease identified by test (true positive)
• b = people with disease not identified by test (false
negatives)
• c = people without disease identified by test (false
positives)
• d = people without disease not identified by test (true
negatives)
Interpretation:
• minimum index: -1
• maximum index: +1
• A perfect test would have a Youden index of +1.
Limitation:
• The index by itself would not identify problems in
sensitivity or specificity.
|