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Cognitive Diagnostic Analysis Using Hierarchically Structured Skills, Yu-Lan Su
Theses and Dissertations
This dissertation proposes two modified cognitive diagnostic models (CDMs), the deterministic, inputs, noisy, "and" gate with hierarchy (DINA-H) model and the deterministic, inputs, noisy, "or" gate with hierarchy (DINO-H) model. Both models incorporate the hierarchical structures of the cognitive skills in the model estimation process, and can be used for situations where the attributes are ordered hierarchically. The Trends in International Mathematics and Science Study (TIMSS) 2003 data are analyzed to illustrate the proposed approaches. The simulation study evaluates the effectiveness of the proposed approaches under various conditions (e.g., various numbers of attributes, test lengths, sample sizes, and hierarchical ...