A General Cognitive Diagnosis Modeling Framework for Polytomous Responses

• In Event: 18.020 - Research on Cognitive Diagnostic Modeling

Abstract

Although considerable developments had been added to the cognitive diagnosis modeling literature recently, most were conducted for dichotomous responses only. This research proposes a general cognitive diagnosis model for polytomous responses, which splits the polytomous items indirectly based on the difference-between-category approach. Under the general framework, different saturated forms and some reduced forms can be transformed linearly. Model assessment and adjustment under the dichotomous context can be extended to polytomous responses. The simulation study demonstrated the effectiveness of the model, especially when comparing to dichotomizing polytomous responses. The real-data example further illustrated how the proposed model can make a difference in practice.

Author

• Jinsong Chen, Sun Yat-Sen University