政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/142015

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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/142015

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/142015

Title:	Estimation of Generalized DINA Model with Order Restrictions
Authors:	張育瑋 Chang, Yu-Wei Hong, Chen-Yu;Tsai, Rung-Ching
Contributors:	統計系
Keywords:	Cognitive diagnostic model;G-DINA model;Order restrictions;Classification of attribute patterns
Date:	2016-11
Issue Date:	2022-09-21 11:45:02 (UTC+8)
Abstract:	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.
Relation:	Journal of Classification, 33, 460-484
Data Type:	article
DOI 連結:	https://doi.org/10.1007/s00357-016-9215-5
DOI:	10.1007/s00357-016-9215-5
Appears in Collections:	[統計學系] 期刊論文

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