Skip to main content

An Adaptive Testing Approach for Competence Using Competence-Based Knowledge Space Theory

  • Conference paper
  • First Online:
Smart Learning for A Sustainable Society (ICSLE 2023)

Part of the book series: Lecture Notes in Educational Technology ((LNET))

Included in the following conference series:

  • 419 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Falmagne, J.C., Albert, D., Doble, C., Eppstein, D., Hu, X.: Knowledge Spaces: Applications in Education. Springer Science & Business Media, pp. 157–168 (2013)

    Google Scholar 

  2. Stefanutti, L., De Chiusole, D.: On the assessment of learning in competence based knowledge space theory. J. Math. Psychol. 80, 2232 (2017)

    Google Scholar 

  3. 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)

    Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. 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)

    Google Scholar 

  6. Hockemeyer, C.: A comparison of non-deterministic procedures for the adaptive testing of knowledge. Psychol. Test Assess. Model. 44(4), 495 (2002)

    Google Scholar 

  7. 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)

    Google Scholar 

  8. Falmagne, J.C., Doignon, J.P.: A markovian procedure for assessing the state of a system. J. Math. Psychol. 32(3), 232–258 (1988)

    Article  Google Scholar 

  9. Brancaccio, A., de Chiusole, D., Stefanutti, L.: Algorithms for the adaptive testing of procedural knowledge and skills. Behav. Res. Methods, pp. 1–23 (2022)

    Google Scholar 

  10. 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)

    Google Scholar 

  11. 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)

    Google Scholar 

  12. 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)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qian Rong .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-5961-7_18

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-5960-0

  • Online ISBN: 978-981-99-5961-7

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics