Analysis of Local Dependence and Multidimensionality in Graphical Loglinear Rasch Models

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Quantifying Response Dependence Between Two Dichotomous Items Using the Rasch Model (2010, methodology): “Examples of such approaches are found in Kreiner and Christensen (2004) and Haberman (2007), who extend the dichotomous Rasch model to include an interaction term.”
Critical Values for Yen’s Q3: Identification of Local Dependence in the Rasch Model Using Residual Correlations (2017, unknown): “Log-linear Rasch models have also been considered by Haberman (2007) and by Kreiner and Christensen (2004, 2007), who proposed to test for LD by evaluating partial correlations using approach similar to the Mantel–Haenszel analysis of differential item functioning (DIF; Holland & Thayer, 1988).”
Quantifying Local, Response Dependence Between Two Polytomous Items Using the Rasch Model (2012, background): “…for identifying and accounting for dependence, including ones that arise from tests of violations of fit when the model assumes unidimensionality and response independence, and ones in which models quantify local dependence as interaction terms (e.g., Haberman, 2007; Kreiner & Christensen, 2004).”