基于HO-DINA模型的学生心理多级评分认知诊断模型研究Research on multi-level scoring cognitive diagnosis model for students′psychology based on HO-DINA model
王郁
摘要(Abstract):
针对目前国内外认知诊断模型所适用的项目大多为0-1评分,不能满足实际工作中丰富多样的测验资料的缺点,提出一种基于HO-DINA模型的诊断模型,对大学生心理多级评分认知进行研究。其是拓展具有良好发展前景但仅适用0-1评分数据资料的HO-DINA模型,将该模型拓展至多级评分适用范围,新模型参数的估计采用MCMC算法。对所提出的模型进行了性能研究,并用实验证明了新模型的有效性。模型仿真结果建议属性诊断个数为7个以下,以保证属性模式判别准确率高于80%。
关键词(KeyWords): 多级评分;认知诊断模型;HO-DINA模型;0-1评分;模型参数;MCMC算法
基金项目(Foundation):
作者(Author): 王郁
DOI: 10.16652/j.issn.1004-373x.2018.02.013
参考文献(References):
- [1]李秋生.修正高阶DINA模型下项目和属性功能差异检测的性能及应用研究[D].南昌:江西师范大学,2015.LI Qiusheng.Performance and application of item and attribute function difference testing under modified high order DINAmodel[D].Nanchang:Jiangxi Normal University,2015.59
- [2]涂冬波,蔡艳,戴海琦,等.HO-DINA模型的MCMC参数估计及模型性能研究[J].心理科学,2011,34(6):1476-1481.TU Dongbo,CAI Yan,DAI Haiqi,et al.MCMC parameter estimation and model performance study of HO-DINA model[J].Journal of psychological science,2011,34(6):1476-1481.
- [3]郭念晗.Mc-DINA模型在青少年科学素养评估中的应用研究[D].北京:北京师范大学,2012.GUO Nianhan.Mc-DINA model application research in the youth scientific literacy assessment[D].Beijing:Beijing Normal University,2012.
- [4]LEVY R.Dynamic bayesian network modeling of game based diagnostic assessments CRESST report 837[J].National center for research on evaluation standards&student testing,2014(7):32-38.
- [5]BOLT D,FU J B.A polytomous extension of the fusion model and its Bayesian parameter estimation[C]//Proceedings of the annual meeting of the National Council on Measurement in Education.San Diego:[s.n.],2004:11-16.
- [6]CHENG Y.Computerized adaptive testing:new development and applications[D].Urbana:University of Illinois,2008.
- [7]DECARLO L T.On the analysis of fraction subtraction data:the DINA model classification,latent class sizes,and Q-matrix[J].Applied psychological measurement,2011,35(8):8-24.
- [8]TORRE J D L.DINA model and parameter estimation:a didactic[J].Journal of educational and behavioral statistics,2009,34(9):115-130.
- [9]TORRE J D L,DOUGLAS J A.Higher-order latent trait models for cognitive diagnosis[J].Psychometrika,2004,69(3):333-353.
- [10]HARTZ M C.A Bayesian framework for the unified model for assessing cognitive abilities:blending theory with practicality[J].American journal of gastroenterology,2002,95(4):906-909.