In tmsalab/edmcore: Algorithms used across Exploratory Diagnostic Modeling

knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>"
)

library(edmcore)

Q Matrix

To assess the accuracy associated with estimating $\mathbf{Q}$ we employ both matrix- and element-wise recovery rates across replication $r$. As the estimation is valid up to a permutation, we present the accuracy rates after permutating the estimated Q matrix across all trait (column) orderings. Once the Q matrix has been permutated, we then compute and show the respective metric.

Matrix-wise recovery rate is defined as: $$ \frac{1}{R}\sum _{r=1}^R\mathcal I(\widehat{{Q}}^{(r)}=\widehat{Q}) $$

Element-wise recovery rate is defined as: $$ \frac{1}{R}\sum {r=1}^R\frac{1}{JK}\sum {j=1}^J\sum {k=1}^K\mathcal I(\hat{q}{jk}^{(r)}=q_{jk}) $$