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A framework is presented to model instances and degrees of local item dependence within the context of diagnostic classification models (DCMs). The study considers an undirected graphical model to describe dependent structure of test items and draws inference based on pseudo-likelihood. The new modeling framework explicitly addresses item interactions beyond those explained by latent classes and thus is more flexible and robust against the violation of local independence. It also facilitates concise interpretation of item relations by regulating complexity of a network underlying the test items. The viability and effectiveness are demonstrated via simulation and a real data example. Results from the simulation study suggest that the proposed methods adequately recover the model parameters in the presence of locally dependent items and lead to a substantial improvement in estimation accuracy compared to the standard DCM approach. The analysis of real data demonstrates that the graphical DCM provides a useful summary of item interactions in regards to the existence and extent of local dependence.
Although multivariate count data are routinely collected in many application areas, there is surprisingly little work developing flexible models for characterizing their dependence structure. This is particularly true when interest focuses on inferri
We introduce the Multiple Quantile Graphical Model (MQGM), which extends the neighborhood selection approach of Meinshausen and Buhlmann for learning sparse graphical models. The latter is defined by the basic subproblem of modeling the conditional m
We consider modeling, inference, and computation for analyzing multivariate binary data. We propose a new model that consists of a low dimensional latent variable component and a sparse graphical component. Our study is motivated by analysis of item
The noninvasive procedures for neural connectivity are under questioning. Theoretical models sustain that the electromagnetic field registered at external sensors is elicited by currents at neural space. Nevertheless, what we observe at the sensor sp
We present a novel Graphical Multi-fidelity Gaussian Process (GMGP) model that uses a directed acyclic graph to model dependencies between multi-fidelity simulation codes. The proposed model is an extension of the Kennedy-OHagan model for problems wh