A General Cognitive Diagnosis Model for Continuous-Response Data

ABSTRACT

Cognitive diagnosis models (CDMs) allow for the extraction of fine-grained, multidimensional diagnostic information from appropriately designed tests. In recent years, interest in such models has grown as formative assessment grows in popularity. Many dichotomous as well as several polytomous CDMs have been proposed in the last two decades, but there has been only one continuous-response model, the C-DINA, proposed to date. The C-DINA model offers a promising first step at modeling continuous process data, but the application of a model with a strong conjunctive assumption may be limited. Thus, the generalized version of the C-DINA model is proposed, and its viability is demonstrated with both a simulation study and a real data example.

KEYWORDS:

• Cognitive diagnosis models
• continuous response
• DINA model
• C-DINA model
• G-DINA model
• C-G-DINA model
• process data