Work

Linear Logistic Restricted Latent Class Model for Polytomous Items With Fuzzy Skill Maps

Year: 2025

Type: article

Abstract: This article introduces a class of restricted latent class model in statistics to handle the diagnosis problem of fuzzy knowledge structure, where the classification of the latent equivalence classes are based on the extent of proficiency in skills. The model includes skill magnitude and latent response probabilities, which consist of linear logistic constraints of the original parameters. Expectation-maximization algorithm is given for parameter estimation of the proposed fuzzy skill model. We also establish the identifiability results of the parametric model, which guarantee the validity of the parameter estimation. A simulation study was conducted to assess the recovery of model parameters. Additionally, the proposed model is illustrated through the use of real-world data to demonstrate its practical application. Finally, topics for further research are discussed.

Source: Journal of Educational and Behavioral Statistics

DOI: 10.3102/10769986251392530

Authors: Zhuoheng Chen, Jinjin Li, Bochi Xu, Wen Sun

Institutions: Huaqiao University, Quanzhou Normal University, Minnan Normal University

Language: English

Topic: Psychometric Methodologies and Testing

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

SDG: Quality education

Open Access status: bronze

Funders: National Natural Science Foundation of China, Natural Science Foundation of Fujian Province, Huaqiao University