zOSR: Calculate Over-Specification Rate (OSR)

In Qval: The Q-Matrix Validation Methods Framework

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 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.

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)

Qval documentation built on June 8, 2025, 10:20 a.m.