Exploring Approaches for Estimating Parameters in Cognitive Diagnosis Models with Small Sample Sizes

Sorrel, Miguel A., Escudero, Scarlett, Nájera, Pablo, Schames Kreitchmann, Rodrigo y Vázquez-Lira, Ramsés . (2023) Exploring Approaches for Estimating Parameters in Cognitive Diagnosis Models with Small Sample Sizes. Psych 2023, 5(2), 336–349

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Título Exploring Approaches for Estimating Parameters in Cognitive Diagnosis Models with Small Sample Sizes
Autor(es) Sorrel, Miguel A.
Escudero, Scarlett
Nájera, Pablo
Schames Kreitchmann, Rodrigo
Vázquez-Lira, Ramsés
Materia(s) Psicología
Abstract Cognitive diagnostic models (CDMs) are increasingly being used in various assessment contexts to identify cognitive processes and provide tailored feedback. However, the most commonly used estimation method for CDMs, marginal maximum likelihood estimation with Expectation–Maximization (MMLE-EM), can present difficulties when sample sizes are small. This study compares the results of different estimation methods for CDMs under varying sample sizes using simulated and empirical data. The methods compared include MMLE-EM, Bayes modal, Markov chain Monte Carlo, a non-parametric method, and a parsimonious parametric model such as Restricted DINA. We varied the sample size, and assessed the bias in the estimation of item parameters, the precision in attribute classification, the bias in the reliability estimate, and computational cost. The findings suggest that alternative estimation methods are preferred over MMLE-EM under low sample-size conditions, whereas comparable results are obtained under large sample-size conditions. Practitioners should consider using alternative estimation methods when working with small samples to obtain more accurate estimates of CDM parameters. This study aims to maximize the potential of CDMs by providing guidance on the estimation of the parameters.
Palabras clave cognitive diagnosis modeling
estimation
sample size
MMLE-EM
Bayesian
Editor(es) MDPI
Fecha 2023-04-27
Formato application/pdf
Identificador bibliuned:DptoMCC-FPSI-Articulos-Rschames-0005
http://e-spacio.uned.es/fez/view/bibliuned:DptoMCC-FPSI-Articulos-Rschames-0005
DOI - identifier https://doi.org/10.3390/psych5020023
ISSN - identifier 2624-8611
Nombre de la revista Psych
Número de Volumen 5
Número de Issue 2
Página inicial 226
Página final 249
Publicado en la Revista Psych 2023, 5(2), 336–349
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales The registered version of this article, first published in Psych 2023, 5(2), 336–349, is available online at the publisher's website: MDPI, https://doi.org/10.3390/psych5020023
Notas adicionales La versión registrada de este artículo, publicado por primera vez en Psych 2023, 5(2), 336–349, está disponible en línea en el sitio web del editor: MDPI, https://doi.org/10.3390/psych5020023

 
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Creado: Tue, 06 Feb 2024, 22:43:51 CET