Abstract
The increasing demand for personalized learning experience has driven the need for more effective and accurate computerized adaptive testing (CAT) in education. In this study, we present a novel CAT algorithm grounded in the Competence-based Knowledge Space Theory. The algorithm employs maximum likelihood estimation (MLE) for parameter estimation, utilizing a uniform prior distribution in the absence of prior information. It employs a “half split rule” for question selection, ensuring the efficient and accurate estimation of student abilities, and incorporates Laplace smoothing to mitigate overfitting. An information entropy-based termination rule is proposed to strike a balance between efficiency and accuracy in the adaptive testing process. The proposed algorithm contributes to the development of more effective and personalized intelligent tutoring system (ITS) by accurately assessment student competence state and minimizing testing time.
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References
Falmagne, J.C., Albert, D., Doble, C., Eppstein, D., Hu, X.: Knowledge Spaces: Applications in Education. Springer Science & Business Media, pp. 157–168 (2013)
Stefanutti, L., De Chiusole, D.: On the assessment of learning in competence based knowledge space theory. J. Math. Psychol. 80, 2232 (2017)
Heller, J., Augustin, T., Hockemeyer, C., Stefanutti, L., Albert, D.: Recent developments in competence-based knowledge space theory. In: Knowledge Spaces: Applications in Education, pp. 243–286 (2013)
Anselmi, P., Stefanutti, L., de Chiusole, D., Robusto, E.: Modeling learning in knowledge space theory through bivariate markov processes. J. Math. Psychol. 103, 102549 (2021)
de Chiusole, D., Stefanutti, L., Anselmi, P., Robusto, E.: Stat-Knowlab. assessment and learning of statistics with competence-based knowledge space theory. Int. J. Artif. Intell. Educ. 30, 668–700 (2020)
Hockemeyer, C.: A comparison of non-deterministic procedures for the adaptive testing of knowledge. Psychol. Test Assess. Model. 44(4), 495 (2002)
Albert, D., Hockemeyer, C.: Applying demand analysis of a set of test problems for developing adaptive courses. In: International Conference on Computers in Education, 2002. Proceedings, pp. 69–70. IEEE (2002)
Falmagne, J.C., Doignon, J.P.: A markovian procedure for assessing the state of a system. J. Math. Psychol. 32(3), 232–258 (1988)
Brancaccio, A., de Chiusole, D., Stefanutti, L.: Algorithms for the adaptive testing of procedural knowledge and skills. Behav. Res. Methods, pp. 1–23 (2022)
Kikuchi, M., Yoshida, M., Okabe, M., Umemura, K.: Confidence interval of probability estimator of laplace smoothing. In: 2015 2nd International Conference on Advanced Informatics: Concepts, Theory and Applications (ICAICTA), pp. 1–6. IEEE (2015)
Setyaningsih, E.R., Listiowarni, I.: Categorization of exam questions based on bloom taxonomy using naïve bayes and laplace smoothing. In: 2021 3rd East Indonesia Conference on Computer and Information Technology (EIConCIT), pp. 330–333. IEEE (2021)
Wang, B., Zou, D., Gu, Q., Osher, S.J.: Laplacian smoothing stochastic gradient markov chain monte carlo. SIAM J. Sci. Comput. 43(1), A26–A53 (2021)
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Rong, Q., Kong, W., Xiao, Y., Gao, X. (2023). An Adaptive Testing Approach for Competence Using Competence-Based Knowledge Space Theory. In: Anutariya, C., Liu, D., Kinshuk, Tlili, A., Yang, J., Chang, M. (eds) Smart Learning for A Sustainable Society. ICSLE 2023. Lecture Notes in Educational Technology. Springer, Singapore. https://doi.org/10.1007/978-981-99-5961-7_18
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DOI: https://doi.org/10.1007/978-981-99-5961-7_18
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