mirt
defines a decision's miss rate value:
The conditional probability of the decision being negative
if the condition is TRUE
.
mirt
An object of class numeric
of length 1.
Understanding or obtaining the miss rate mirt
:
Definition: sens
is the conditional probability
for an incorrect negative decision given that
the condition is TRUE
:
mirt = p(decision = negative | condition = TRUE)
or the probability of failing to detect true cases
(condition = TRUE
).
Perspective:
mirt
further classifies
the subset of cond_true
individuals
by decision (mirt = mi/cond_true
).
Alternative names:
false negative rate (FNR
),
rate of type-II errors (beta
)
Relationships:
a. mirt
is the complement of the
sensitivity sens
(aka. hit rate HR
):
mirt = (1 - sens) = (1 - HR)
b. mirt
is the _opposite_ conditional probability
-- but not the complement --
of the false omission rate FOR
:
FOR = p(condition = TRUE | decision = negative)
In terms of frequencies,
mirt
is the ratio of
mi
divided by cond_true
(i.e., hi + mi
):
mirt = mi/cond_true = mi/(hi + mi)
Dependencies:
mirt
is a feature of a decision process
or diagnostic procedure and a measure of
incorrect decisions (false negatives).
However, due to being a conditional probability,
the value of mirt
is not intrinsic to
the decision process, but also depends on the
condition's prevalence value prev
.
Consult Wikipedia for additional information.
comp_mirt
computes mirt
as the complement of sens
;
prob
contains current probability information;
comp_prob
computes current probability information;
num
contains basic numeric parameters;
init_num
initializes basic numeric parameters;
comp_freq
computes current frequency information;
is_prob
verifies probabilities.
Other probabilities:
FDR
,
FOR
,
NPV
,
PPV
,
acc
,
err
,
fart
,
ppod
,
prev
,
sens
,
spec
mirt <- .15 # => sets a miss rate of 15%
mirt <- 15/100 # => (decision = negative) for 15 out of 100 people with (condition = TRUE)