Definition:
NPV is the conditional probability
for the condition being FALSE
given a negative decision:
NPV = p(condition = FALSE | decision = negative)
or the probability of a negative decision being correct.
Perspective:
NPV further classifies
the subset of dec_neg individuals
by condition (NPV = cr/dec_neg = cr/(mi + cr)).
Alternative names:
true omission rate
Relationships:
a. NPV is the complement of the
false omission rate FOR:
NPV = 1 - FOR
b. NPV is the opposite conditional probability
-- but not the complement --
of the specificity spec:
spec = p(decision = negative | condition = FALSE)
In terms of frequencies,
NPV is the ratio of
cr divided by dec_neg
(i.e., cr + mi):
NPV = cr/dec_neg = cr/(cr + mi)
Dependencies:
NPV is a feature of a decision process
or diagnostic procedure and
-- similar to the specificity spec --
a measure of correct decisions (negative decisions
that are actually FALSE).
However, due to being a conditional probability,
the value of NPV is not intrinsic to
the decision process, but also depends on the
condition's prevalence value prev.