A Note on Explaining Away and Paradoxical Results in Multidimensional Item Response Theory

Author(s):
van Rijn, Peter; Rijmen, Frank
Publication Year:
2012
Report Number:
RR-12-13
Source:
ETS Research Report
Document Type:
Report
Page Count:
10
Subject/Key Words:
Bayesian Networks Explaining Away Item Response Theory (IRT) Multidimensional Item Response Theory (MIRT) Paradoxical Results Unidimensional IRT

Abstract

Hooker and colleagues addressed a paradoxical situation that can arise in the application of multidimensional item response theory (MIRT) models to educational test data. We demonstrate that this MIRT paradox is an instance of the explaining-away phenomenon in Bayesian networks, and we attempt to enhance the understanding of MIRT models by placing the paradox in a broader statistical modeling perspective.

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