zOSR {Qval} | R Documentation |
Calculate Over-Specification Rate (OSR)
Description
Calculate Over-Specification Rate (OSR)
Usage
zOSR(Q.true, Q.sug)
Arguments
Q.true |
The true Q-matrix. |
Q.sug |
The Q-matrix that has been validated. |
Details
The OSR is defined as:
OSR = \frac{\sum_{i=1}^{I}\sum_{k=1}^{K}I(q_{ik}^{t} < q_{ik}^{s})}{I × K}
where q_{ik}^{t}
denotes the k
th attribute of item i
in the true Q-matrix (Q.true
),
q_{ik}^{s}
denotes k
th attribute of item i
in the suggested Q-matrix(Q.sug
),
and I(\cdot)
is the indicator function.
Value
A numeric (OSR index).
Examples
library(Qval)
set.seed(123)
Q1 <- sim.Q(5, 30)
Q2 <- sim.MQ(Q1, 0.1)
OSR <- zOSR(Q1, Q2)
print(OSR)
[Package Qval version 1.2.3 Index]