Abstract
Cognitive diagnosis is the judgment of the student’s cognitive ability, is a wide-spread concern in educational science. The cognitive diagnosis model (CDM) is an essential method to realize cognitive diagnosis measurement. This paper presents new research on the cognitive diagnosis model and introduces four individual aspects of probability-based CDM and deep learning-based CDM. These four aspects are higherorder latent trait, polytomous responses, polytomous attributes, and multilevel latent traits. The paper also sorts on the contained ideas, model structures and respective characteristics, and provides direction for developing cognitive diagnosis in the future.
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References
Leighton J P, Gierl M J. Cognitive Diagnostic Assessment for Education: Theory and Applications. Cambridge: Cambridge University Press, 2007
Tu D B, Cai Y, Dai H Q, Qi S Q. A review on cognitive diagnostic models under modern test theory. Psychological Exploration, 2008, 28(2): 64–68
Fischer G H. The linear logistic test model as an instrument in educational research. Acta Psychologica, 1973, 37(6): 359–374
Tatsuoka K K. Rule space: An approach for dealing with misconceptions based on item response theory. Journal of Educational Measurement, 1983, 20(4): 345–354
DiBello L V, Stout W F, Roussos L A. Unified cognitive/psychometric diagnostic assessment likelihood-based classification techniques. In: Nichols P D, Chipman S F, Brennan R L, eds. Cognitively Diagnostic Assessment. Hillsdale: Erlbaum, 1995, 361–389
Hartz S M. A Bayesian framework for the unified model for assessing cognitive abilities: Blending theory with practicality. University of Illinois at Urbana-Champaign, Dissertation, 2002
Schmid J, Leiman J M. The development of hierarchical factor solutions. Psychometrika, 1957, 22(1): 53–61
Rupp A A, Templin J, Henson R A. Diagnostic Measurement: Theory, Methods, and Applications. New York: Guilford Press, 2010
Sheng Y Y, Wikle C K. Bayesian multidimensional IRT models with a hierarchical structure. Educational and Psychological Measurement, 2008, 68(3): 413–430
Rijmen F, Jeon M, Von Davier M, Rabe-Hesketh S. A third-order item response theory model for modeling the effects of domains and subdomains in large-scale educational assessment surveys. Journal of Educational and Behavioral Statistics, 2014, 39(4): 235–256
Zhan P D, Yu Z H, Li F M, Wang L J. Using a multi-order cognitive diagnosis model to assess scientific literacy. Acta Psychologica Sinica, 2019, 51(6): 734–746
Huang H Y, Wang W C, Chen P H, Su C M. Higher-order item response models for hierarchical latent traits. Applied Psychological Measurement, 2013, 37(8): 619–637
Organisation for Economic Co-operation and Development. Technical report of the survey of adult skills (PIAAC). Paris: OECD, 2013
Huang H Y, Wang W C. Higher order testlet response models for hierarchical latent traits and testlet-based items. Educational and Psychological Measurement, 2013, 73(3): 491–511
Huo Y, De La Torre J, Mun E Y, Kim S Y, Ray A E, Jiao Y, White H R. A hierarchical multi-unidimensional IRT approach for analyzing sparse, multi-group data for integrative data analysis. Psychometrika, 2015, 80(3): 834–855
Huang H Y. A multilevel higher order item response theory model for measuring latent growth in longitudinal data. Applied Psychological Measurement, 2015, 39(5): 362–372
Zhang X, Wang C, Tao J. Assessing item-level fit for higher order item response theory models. Applied Psychological Measurement, 2018, 42(8): 644–659
Fu Z H, Zhang X, Tao J. Gibbs sampling using the data augmentation scheme for higher-order item response models. Physica A: Statistical Mechanics and its Applications, 2020, 541: 123696
Tu D B. Advanced Cognitive Diagnosis. Beijing: Beijing Normal University Publishing House, 2019
Samejima F. Estimation of latent ability using a response pattern of graded scores. Psychometrika, 1969, 34(1): 1–97
Masters G N. A rasch model for partial credit scoring. Psychometrika, 1982, 47(2): 149–174
Muraki E. A generalized partial credit model: application of an EM algorithm. Applied Psychological Measurement, 1992, 16(2): 159–176
Tu D B, Cai Y, Dai H Q, Ding S L. A polytomous cognitive diagnosis model: P-DINA model. Acta Psychologica Sinica, 2010, 42(10): 1011–1020
Chen J S, De La Torre J. Introducing the general polytomous diagnosis modeling framework. Frontiers in Psychology, 2018, 9: 1474
Ma W C, De La Torre J. A sequential cognitive diagnosis model for polytomous responses. British Journal of Mathematical and Statistical Psychology, 2016, 69(3): 253–275
De La Torre J. The generalized DINA model framework. Psychometrika, 2011, 76(2): 179–199
Templin J, Henson R, Rupp A, Jang E, Ahmed M. Cognitive diagnosis models for nominal response data. See researchgate.net/profile/Robert-Henson/publication/228894528_Cognitive_diagnosis_models_for_nominal_response_data/links/0a85e5332fadc2ef60000000/Cognitive-diagnosis-models-for-nominal-response-data.pdf website, 2008
Ma W C. A diagnostic tree model for polytomous responses with multiple strategies. British Journal of Mathematical and Statistical Psychology, 2019, 72(1): 61–82
Chen J S, De La Torre J. A general cognitive diagnosis model for expert-defined polytomous attributes. Applied Psychological Measurement, 2013, 37(6): 419–437
Tjoe H, De La Torre J. Designing cognitively-based proportional reasoning problems as an application of modern psychological measurement models. Journal of Mathematics Education, 2013, 6(2): 17–26
Cai Y, Tu D B. Extension of cognitive diagnosis models based on the polytomous attributes framework and their Q-matrices designs. Acta Psychologica Sinica, 2015, 47(10): 1300–1308
Zhao S Y, Chang W, Wang L J, Zhan P D. A polytomous extension of reparametrized polytomous attributes DINA. CNKI (in Chinese), 2019
Rost J. Rasch models in latent classes: an integration of two approaches to item analysis. Applied Psychological Measurement, 1990, 14(3): 271–282
Cho S J, Cohen A S. A multilevel mixture IRT model with an application to DIF. Journal of Educational and Behavioral Statistics, 2010, 35(3): 336–370
Meij A M M D, Kelderman H, Van Der Flier H. Fitting a mixture item response theory model to personality questionnaire data: characterizing latent classes and investigating possibilities for improving prediction. Applied Psychological Measurement, 2008, 32(8): 611–631
Tay L, Newman D A, Vermunt J K. Using mixed-measurement item response theory with covariates (MM-IRT-C) to ascertain observed and unobserved measurement equivalence. Organizational Research Methods, 2011, 14(1): 147–176
Kim E S, Joo S H, Lee P, Wang Y, Stark S. Measurement invariance testing across between-level latent classes using multilevel factor mixture modeling. Structural Equation Modeling: A Multidisciplinary Journal, 2016, 23(6): 870–887
Wang X, Tan G H, Wang X, Zhang M Q, Luo C. The mixture item response theory models and its application traces. Advances in Psychological Science, 2014, 22(3): 540–548
Cheng S, Liu Q, Chen E H, Huang Z, Huang Z Y, Chen Y Y, Ma H P, Hu G P. DIRT: deep learning enhanced item response theory for cognitive diagnosis. In: Proceedings of the 28th ACM International Conference on Information and Knowledge Management. 2019, 2397–2400
Yao L H, Schwarz R D. A multidimensional partial credit model with associated item and test statistics: an application to mixed-format tests. Applied Psychological Measurement, 2006, 30(6): 469–492
Huang Z Y, Liu Q, Chen E H, Zhao H K, Gao M Y, Wei S, Su Y, Hu G P. Question difficulty prediction for READING problems in standard tests. In: Proceedings of the Thirty-First AAAI Conference on Artificial Intelligence. 2017, 1352–1359
Shu Z, Henson R, Willse J. Using neural network analysis to define methods of DINA model estimation for small sample sizes. Journal of Classification, 2013, 30(2): 173–194
Lamb R L, Annetta L, Vallett D B, Sadler T D. Cognitive diagnostic like approaches using neural-network analysis of serious educational videogames. Computers & Education, 2014, 70: 92–104
Wang F, Liu Q, Chen E H, Huang Z Y, Chen Y Y, Yin Y, Huang Z, Wang S J. Neural cognitive diagnosis for intelligent education systems. In: Proceedings of the Thirty-Fourth AAAI Conference on Artificial Intelligence. 2019, 6153–6161
Liu Q, Wu R Z, Chen E H, Xu G D, Su Y, Chen Z G, Hu G P. Fuzzy cognitive diagnosis for modelling examinee performance. ACM Transactions on Intelligent Systems and Technology, 2018, 9(4): 48
Boyle E A, Hainey T, Connolly T M, Gray G, Earp J, Ott M, Lim T, Ninaus M, Ribeiro C, Pereira J. An update to the systematic literature review of empirical evidence of the impacts and outcomes of computer games and serious games. Computers & Education, 2016, 94: 178–192
Andrich D, Hagquist C. Real and artificial differential item functioning. Journal of Educational and Behavioral Statistics, 2012, 37(3): 387–416
Yu X F, Cheng Y, Chang H H. Recent developments in cognitive diagnostic computerized adaptive testing (CD-CAT): a comprehensive review. In: Von Davier M, Lee Y S, eds. Handbook of Diagnostic Classification Models. Cham: Springer, 2019, 307–331
Liu H Y, Zhang T C, Wu P W, Yu G. A review of knowledge tracking. Journal of East China Normal University: Natural Science, 2019(5): 1–15
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This work was partially supported by the National Natural Science Foundation (Grant Nos. U1811261, 62137001, 61902055) and the Fundamental Research Funds for the Central Universities (N180716010, N2117001).
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Yingjie Liu received a BE degree from Shanxi Normal University, China in 2018. She is now majoring in computer technology at the College of Computer Science and Engineering, Northeastern University, China. Her main research area is intelligent education, cognitive diagnosis, and recommended systems.
Tiancheng Zhang received a MS degree in 2001 and a PhD degree in computer science from Northeastern Unversity, China in 2008. He is currently an associate professor at Northeastern University, China. His research interests include spatiotemporal data mining, artificial intelligence, intelligent education.
Xuecen Wang received a BE degree from Shandong University, China in 2018. She is now majoring in computer technology at the College of Computer Science and Engineering, Northeastern University, China. Her main research interest is in intelligent education and information systems.
Ge Yu received an MS degree in computer science from Northeastern University, China in 1986 and a PhD degree in computer science from Kyushu University, Japan in 1996. He is currently a professor and PhD supervisor at Northeastern University, China, a member of ACM and IEEE, and a CCF senior member. His research interests include database theory and technology, and distributed system, as well as parallel computing and cloud computing.
Tao Li received the MA degree in sociolinguistics from Northeastern University, China. The main research interests are computer-aided teaching, etc.
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Liu, Y., Zhang, T., Wang, X. et al. New development of cognitive diagnosis models. Front. Comput. Sci. 17, 171604 (2023). https://doi.org/10.1007/s11704-022-1128-3
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DOI: https://doi.org/10.1007/s11704-022-1128-3