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題名 Estimation of Generalized DINA Model with Order Restrictions
作者 張育瑋
Chang, Yu-Wei
Hong, Chen-Yu;Tsai, Rung-Ching
貢獻者 統計系
關鍵詞 Cognitive diagnostic model; G-DINA model; Order restrictions; Classification of attribute patterns
日期 2016-11
上傳時間 21-Sep-2022 11:45:02 (UTC+8)
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.
關聯 Journal of Classification, 33, 460-484
資料類型 article
DOI https://doi.org/10.1007/s00357-016-9215-5
dc.contributor 統計系
dc.creator (作者) 張育瑋
dc.creator (作者) Chang, Yu-Wei
dc.creator (作者) Hong, Chen-Yu;Tsai, Rung-Ching
dc.date (日期) 2016-11
dc.date.accessioned 21-Sep-2022 11:45:02 (UTC+8)-
dc.date.available 21-Sep-2022 11:45:02 (UTC+8)-
dc.date.issued (上傳時間) 21-Sep-2022 11:45:02 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/142015-
dc.description.abstract (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.
dc.format.extent 105 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of Classification, 33, 460-484
dc.subject (關鍵詞) Cognitive diagnostic model; G-DINA model; Order restrictions; Classification of attribute patterns
dc.title (題名) Estimation of Generalized DINA Model with Order Restrictions
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s00357-016-9215-5
dc.doi.uri (DOI) https://doi.org/10.1007/s00357-016-9215-5