Estimation of Generalized DINA Model with Order Restrictions

Chen Yu Hong, Yu Wei Chang, Rung-Ching Tsai

研究成果: 雜誌貢獻文章

3 引文 (Scopus)

摘要

Cognitive diagnostic models provide valuable information on whether a student has mastered each of the attributes a test intends to evaluate. Despite its generality, the generalized DINA model allows for the possibility of lower correct rates for students who master more attributes than those who know less. This paper considers the use of order-constrained parameter space of the G-DINA model to avoid such a counter-intuitive phenomenon and proposes two algorithms, the upward and downward methods, for parameter estimation. Through simulation studies, we compare the accuracy in parameter estimation and in classification of attribute patterns obtained from the proposed two algorithms and the current approach when the restricted parameter space is true. Our results show that the upward method performs the best among the three, and therefore it is recommended for estimation, regardless of the distribution of respondents’ attribute patterns, types of test items, and the sample size of the data.

原文英語
頁(從 - 到)460-484
頁數25
期刊Journal of Classification
33
發行號3
DOIs
出版狀態已發佈 - 2016 十月 1

指紋

Order Restriction
Attribute
Students
Sample Size
Parameter Estimation
Restricted Parameter Space
Model Diagnostics
Model
Parameter Space
Intuitive
diagnostic
student
Simulation Study
simulation
Evaluate
Surveys and Questionnaires
Parameter estimation

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Psychology (miscellaneous)
  • Statistics, Probability and Uncertainty
  • Library and Information Sciences

引用此文

Estimation of Generalized DINA Model with Order Restrictions. / Hong, Chen Yu; Chang, Yu Wei; Tsai, Rung-Ching.

於: Journal of Classification, 卷 33, 編號 3, 01.10.2016, p. 460-484.

研究成果: 雜誌貢獻文章

Hong, Chen Yu ; Chang, Yu Wei ; Tsai, Rung-Ching. / Estimation of Generalized DINA Model with Order Restrictions. 於: Journal of Classification. 2016 ; 卷 33, 編號 3. 頁 460-484.
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