Visualizing different levels of compensation in multidimensional item response theory models

Visualizing different levels of compensation in multidimensional item response theory models

Abstract

This graphic shows the probability of providing a correct response to an item in a multidimensional item response theory (MIRT) model. The colors represent the probability of a correct response, and the contours represent chunk of 10% probability (i.e., the space between the leftmost and second contours represents ability pairs with a 10-20% probability of answering correctly). These plots show how the 1PL, 2PL, and 3PL MIRT models are affected by how compensatory the model is parameterized to be. Additionally, creating 2-dimensional representations of the 3-dimensional curves makes it easier to identify differences in between the partially compensatory and noncompensatory models that tend to look very similar when rendered in 3 dimensions.

Publication
Educational Measurement: Issues and Practice
Date