Skip to main content

Estimating Student Proficiency Using an Item Response Theory Model

  • Conference paper
Intelligent Tutoring Systems (ITS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4053))

Included in the following conference series:

Abstract

Item Response Theory (IRT) models were investigated as a tool for student modeling in an intelligent tutoring system (ITS). The models were tested using real data of high school students using the Wayang Outpost, a computer-based tutor for the mathematics portion of the Scholastic Aptitude Test (SAT). A cross-validation framework was developed and three metrics to measure prediction accuracy were compared. The trained models predicted with 72% accuracy whether a student would answer a multiple choice problem correctly.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson, J., Boyle, C., Corbett, A., Lewis, M.: Cognitive Modeling and Intelligent Tutoring. Artificial Intelligence 42(1), 7–49 (1990)

    Article  Google Scholar 

  2. Arroyo, I., Beal, C.R., Murray, T., Walles, R., Park Woolf, B.: Web-based intelligent multimedia tutoring for high stakes achievement tests. In: Lester, J.C., Vicari, R.M., Paraguaçu, F. (eds.) ITS 2004. LNCS, vol. 3220, pp. 468–477. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  3. Arroyo, I., Murray, T., Park Woolf, B., Beal, C.R.: Inferring unobservable learning variables from students’ help seeking behavior. In: Lester, J.C., Vicari, R.M., Paraguaçu, F. (eds.) ITS 2004. LNCS, vol. 3220, pp. 782–784. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  4. Baker, F., Kim, S.-H.: Item Response Theory: Parameter Estimation Techniques. Marcel Dekker, Inc., New York (2004)

    MATH  Google Scholar 

  5. Baker, R., Corbett, A., Koedinger, K., Wagner, A.: Off-Task Behavior in the Cognitive Tutor Classroom: When Students Game the System. In: Proceedings of the ACM CHI 2004 Conference on Human Factors in Computing Systems, pp. 383–390 (2004)

    Google Scholar 

  6. Barnes, T.: The Q-Matrix Method of Fault-Tolerant Teaching in Knowledge Assessment and Data Mining. Ph.D. Dissertation. North Carolina State University (2003)

    Google Scholar 

  7. Beck, J.: Engagement Tracing: Using Response Times to Model Student Disengagement. In: Proceedings of the International Conference on Artificial Intelligent and Education (2005)

    Google Scholar 

  8. Bock, R., Aitkin, M.: Marginal Maximum Likelihood Estimation of Item Parameters: Applications of an EM Algorithm. Psychometrika 46, 443–459 (1981)

    Article  MathSciNet  Google Scholar 

  9. Collins, L., Wugalter, S.: Latent Class Models for Stage-Sequential Dynamic Latent Variables. Multivariate Behavioral Research 27(1), 131–157 (1992)

    Article  Google Scholar 

  10. Corbett, A., Anderson, J.: Knowledge Tracing: Modeling the Acquisition of Procedural Knowledge. Journal of User Modeling and User-Adapted Interaction 4, 253–278 (1995)

    Article  Google Scholar 

  11. Dempster, A., Laird, N., Rubin, D.: Maximum Likelihood from Incomplete Data via the EM Algorithm. Journal of the Royal Statistical Society, Series B 39, 1–38 (1977)

    MATH  MathSciNet  Google Scholar 

  12. Embretson, S.: A Multidimensional Latent Trait Model for Measuring Learning and Change. Psychometrika 56, 495–515 (1991)

    Article  MATH  Google Scholar 

  13. Jonsson, A., Johns, J., Mehranian, H., Arroyo, I., Woolf, B., Barto, A., Fisher, D., Mahadevan, S.: Evaluating the Feasibility of Learning Student Models from Data. In: American Association for Artificial Intelligence Workshop on Educational Data Mining (2005)

    Google Scholar 

  14. Mayo, M., Mitrovic, A.: Optimising ITS Behavior with Bayesian Networks and Decision Theory. International Journal of Artificial Intelligence in Education 12, 124–153 (2001)

    Google Scholar 

  15. Rudner, L.: An Evaluation of Measurement Decision Theory, http://edres.org/mdt/home3.asp

  16. Thissen, D., Wainer, H. (eds.): Test Scoring. Lawrence Erlbaum Associates, Mahwah (2001)

    Google Scholar 

  17. van der Linden, W., Hambleton, R. (eds.): Handbook of Modern Item Response Theory. Springer, New York (1997)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Johns, J., Mahadevan, S., Woolf, B. (2006). Estimating Student Proficiency Using an Item Response Theory Model. In: Ikeda, M., Ashley, K.D., Chan, TW. (eds) Intelligent Tutoring Systems. ITS 2006. Lecture Notes in Computer Science, vol 4053. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11774303_47

Download citation

  • DOI: https://doi.org/10.1007/11774303_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35159-7

  • Online ISBN: 978-3-540-35160-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics