Psychometrika

, Volume 76, Issue 2, pp 179–199

The Generalized DINA Model Framework

Article

DOI: 10.1007/s11336-011-9207-7

Cite this article as:
de la Torre, J. Psychometrika (2011) 76: 179. doi:10.1007/s11336-011-9207-7

Abstract

The G-DINA (generalized deterministic inputs, noisyandgate) model is a generalization of the DINA model with more relaxed assumptions. In its saturated form, the G-DINA model is equivalent to other general models for cognitive diagnosis based on alternative link functions. When appropriate constraints are applied, several commonly used cognitive diagnosis models (CDMs) can be shown to be special cases of the general models. In addition to model formulation, the G-DINA model as a general CDM framework includes a component for item-by-item model estimation based on design and weight matrices, and a component for item-by-item model comparison based on the Wald test. The paper illustrates the estimation and application of the G-DINA model as a framework using real and simulated data. It concludes by discussing several potential implications of and relevant issues concerning the proposed framework.

Keywords

cognitive diagnosisDINAMMLEparameter estimationWald testmodel comparison

Copyright information

© The Psychometric Society 2011

Authors and Affiliations

  1. 1.Department of Educational PsychologyRutgers, The State University of New JerseyNew BrunswickUSA