Making the Most of What We Have: A Practical Application of Multidimensional Item Response Theory in Test Scoring

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Estimation of Models in a Rasch Family for Polytomous Items and Multiple Latent Variables (2007, background): “Using collateral information from items that are indicators of other latent variables can lead to an increase in efficiency when estimating θvp (Wang et al. 2004; de la Torre and Patz 2005).”
A Cognitive Diagnosis Model for Cognitively Based Multiple-Choice Options (2009, background): “However, aside from unreliability (e.g., de la Torre & Patz, 2005; Wainer et al., 2001), the information provided by cluster scores is superficial and may not reflect deeper underlying processes involved in learning and problem solving.”
Simultaneous Estimation of Overall and Domain Abilities: A Higher-Order IRT Model Approach (2009, methodology): “These were the same data analyzed by de la Torre and Patz (2005). The MCMC algorithm employed in this analysis is similar to that Table 8 Estimate of Correlation Between Domain Abilities”