Skip to main content

Modeling Multiple Distributions of Student Performances to Improve Predictive Accuracy

  • Conference paper
User Modeling, Adaptation, and Personalization (UMAP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7379))

Abstract

In this paper, we propose a general approach to improve student modeling predictive accuracy. The approach was designed based on the assumption that student performance is sampled from multiple, rather than only one, distribution and thus should be modeled by multiple classification models. We applied k-means to identify student performances sampled from those multiple distributions, using no additional features beyond binary correctness of student responses. We trained a separate classification model for each distribution and applied the learned models to unseen students to evaluate our approach. The results showed that compared to the base classifier, our proposed approach is able to improve predictive accuracy: 4.3% absolute improvement in R2 and 0.03 absolute improvement in AUC, which are not trivial improvements considering the current state of the art in student modeling.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Koedinger, K.R., Anderson, J.R., Hadley, W.H., Mark, M.A.: Intelligent Tutoring Goes to School in the Big City. Int. J. Artificial Intelligence in Education (1997)

    Google Scholar 

  2. Baker, R.S., Corbett, A.T., Koedinger, K.R.: Responding to Problem Behaviors in Cognitive Tutors: Towards Educational Systems Which Support All Students. National Association for the Dually Diagnosed (NADD) Bulletin 9(4), 70–75 (2006)

    Google Scholar 

  3. Gong, Y., Beck, J.: Items, Skills, and Transfer Models: Which Really Matters for Student Modeling? In: Proceedings of the 4th International Conference on Educational Data Mining, pp. 81–90 (2011)

    Google Scholar 

  4. Heathcote, A., Brown, S., Mewhort, D.J.K.: The Power Law repealed: The case for an Exponential Law of Practice. Psychonomic Bulletin & Review (2002)

    Google Scholar 

  5. Baker, R.S.J.d., Pardos, Z.A., Gowda, S.M., Nooraei, B.B., Heffernan, N.T.: Ensembling Predictions of Student Knowledge within Intelligent Tutoring Systems. In: Konstan, J.A., Conejo, R., Marzo, J.L., Oliver, N. (eds.) UMAP 2011. LNCS, vol. 6787, pp. 13–24. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  6. Gong, Y., Beck, J.E., Heffernan, N.T.: How to Construct More Accurate Student Models:  Comparing and Optimizing Knowledge Tracing and Performance Factors Analysis. International Journal of Artificial Intelligence in Education (2010) (in press)

    Google Scholar 

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

    Article  Google Scholar 

  8. Pardos, Z.A., Heffernan, N.T.: Modeling Individualization in a Bayesian Networks Implementation of Knowledge Tracing. In: De Bra, P., Kobsa, A., Chin, D. (eds.) UMAP 2010. LNCS, vol. 6075, pp. 255–266. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  9. Pardos, Z.A., Heffernan, N.T.: KT-IDEM: Introducing Item Difficulty to the Knowledge Tracing Model. In: Konstan, J.A., Conejo, R., Marzo, J.L., Oliver, N. (eds.) UMAP 2011. LNCS, vol. 6787, pp. 243–254. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  10. Baker, R.S.J.d., Corbett, A.T., Aleven, V.: More Accurate Student Modeling through Contextual Estimation of Slip and Guess Probabilities in Bayesian Knowledge Tracing. In: Woolf, B.P., Aïmeur, E., Nkambou, R., Lajoie, S. (eds.) ITS 2008. LNCS, vol. 5091, pp. 406–415. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  11. Gong, Y., Beck, J.E., Heffernan, N.T.: Understanding the impact of student seriousness on learning in a computer tutor. Journal of Educational Psychology (2011) (submitted)

    Google Scholar 

  12. Xu, Y., Mostow, J.: Using Logistic Regression to Trace Multiple Subskills in a Dynamic Bayes Net. In: Proceedings of the 9th International Conference on Educational Data Mining, pp. 241–246 (2011)

    Google Scholar 

  13. Pavlik, P.I., Cen, H., Koedinger, K.: Learning Factors Transfer Analysis: Using Learning Curve Analysis to Automatically Generate Domain Models. In: Proceedings of the 2nd International Conference on Educational Data Mining, pp. 121–130 (2009)

    Google Scholar 

  14. Tan, P., Steinbach, M., Kumar, V.: Introduction to Data Mining. Addison-Wesley, Boston (2005)

    Google Scholar 

  15. Trivedi, S., Pardos, Z.A., Heffernan, N.T.: Clustering Students to Generate an Ensemble to Improve Standard Test Score Predictions. In: Biswas, G., Bull, S., Kay, J., Mitrovic, A. (eds.) AIED 2011. LNCS, vol. 6738, pp. 377–384. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gong, Y., Beck, J.E., Ruiz, C. (2012). Modeling Multiple Distributions of Student Performances to Improve Predictive Accuracy. In: Masthoff, J., Mobasher, B., Desmarais, M.C., Nkambou, R. (eds) User Modeling, Adaptation, and Personalization. UMAP 2012. Lecture Notes in Computer Science, vol 7379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31454-4_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31454-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31453-7

  • Online ISBN: 978-3-642-31454-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics