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Qval (version 0.1.7)

getOSR: Caculate over-specifcation rate (OSR)

Description

Caculate over-specifcation rate (OSR)

Usage

getOSR(Q.true, Q.sug)

Value

A numeric (OSR index).

Arguments

Q.true

The true Q-matrix.

Q.sug

The Q-matrix that has being validated.

Details

The OSR is defned 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 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

Run this code

library(Qval)

set.seed(123)

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

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