A Sequential Higher Order Latent Structural Model for Hierarchical Attributes in Cognitive Diagnostic Assessments

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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Sage
Abstract

The higher-order structure and attribute hierarchical structure are two popular approaches to defining the latent attribute space in cognitive diagnosis models. However, to our knowledge, it is still impossible to integrate them to accommodate the higher-order latent trait and hierarchical attributes simultaneously. To address this issue, this article proposed a sequential higher-order latent structural model (LSM) by incorporating various hierarchical structures into a higher-order latent structure. The feasibility of the proposed higher-order LSM was examined using simulated data. Results indicated that, in conjunction with the deterministic-inputs, noisy "and" gate model, the sequential higher-order LSM produced considerable improvement in person classification accuracy compared with the conventional higher-order LSM, when a certain attribute hierarchy existed. An empirical example was presented as well to illustrate the application of the proposed LSM.

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Keywords
cognitive diagnosis, higher-order latent structure, attribute hierarchy, sequential tree, cognitive diagnosis models, DINA model, CLASSIFICATION MODELS, RULE-SPACE, Social Sciences, Mathematical Methods, Psychology, Mathematical
Citation
Zhan, P., Ma, W., Jiao, H., & Ding, S. (2019). A Sequential Higher Order Latent Structural Model for Hierarchical Attributes in Cognitive Diagnostic Assessments. In Applied Psychological Measurement (Vol. 44, Issue 1, pp. 65–83). SAGE Publications. https://doi.org/10.1177/0146621619832935