Qval (version 0.1.7)

getUSR: Caculate under-specifcation rate (USR)

Description

Caculate under-specifcation rate (USR)

Usage

getUSR(Q.true, Q.sug)

Value

A numeric (USR index).

Arguments

Q.true

The true Q-matrix.

Q.sug

A The Q-matrix that has being validated.

Details

The USR is defned as: $$USR=\frac{\sum _{i=1}^I\sum _{k=1}^{K}I(q_{ik}^t>q_{ik}^s)}{I\times K}$$ where $q_{ik}^t$ denotes the kth attribute of item i in the true Q-matrix (Q.true), $q_{ik}^s$ denotes kth attribute of item i in the suggested Q-matrix(Q.sug), and $I(\cdot )$ is the indicator function.

Examples

library(Qval)

set.seed(123)

example.Q1 <- sim.Q(5, 30)
example.Q2 <- sim.MQ(example.Q1, 0.1)
USR <- getUSR(example.Q1, example.Q2)
print(USR)