Skip to main content

Modeling Collaboration Using Point Processes

  • Chapter
  • First Online:
Innovative Assessment of Collaboration

Abstract

In this chapter, we outline the uses of point processes and related methods for modeling temporal dependence in human interactions. We begin by describing our example, which was drawn from teamwork in sports. We then discuss three interrelated steps in analyzing the data: (a) the problem of defining and detecting temporal dependence among the activities of team members, (b) characterization of the dependence in terms of temporal clustering, and (c) the use of the Hawkes process to model the clustering. The third step provides a parametric model for describing and comparing statistical regularities of the interactions among individual team members or subsets of team members. We conclude by considering how this approach can capture aspects of team interaction that might be relevant for developing performance-based assessments involving collaborative problem solving.

This work was conducted while Alina A. von Davier was employed with Educational Testing Service.

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 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
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

Notes

  1. 1.

    For example, http://www.basketballgeek.com/data/.

References

  • Barabási, A. L. (2005). The origin of bursts and heavy tails in human dynamics. Nature, 435, 207–211. doi:10.1038/nature03526.1

  • Brillinger, D. R. (1975). The identification of point process systems. Annals of Probability, 3, 909–929.

    Google Scholar 

  • Brillinger, D. R. (2004). Some data analyses using mutual information. Brazilian Journal of Probability and Statistics, 18, 163–182.

    Google Scholar 

  • Budescu, D. V. (1985). Analysis of dichotomous variables in the presence of serial dependence. Psychological Bulletin, 97, 547–561.

    Google Scholar 

  • Cover, T. M., & Thomas, J. A. (2005). Elements of information theory. New York, NY, USA: Wiley.

    Google Scholar 

  • Crane, R., & Sornette, D. (2008). Robust dynamic classes revealed by measuring the response function of a social system. Proceedings of the National Academy of Sciences of the United States of America, 105, 15649–15653.

    Google Scholar 

  • Daley, D. J., & Vera-Jones, D. (2003). An introduction to the theory of point processes: Elementary theory and methods (2nd ed., Vol. 1). New York, NY, USA: Springer.

    Google Scholar 

  • Griffin, P., & Care, E. (2015). Assessment and teaching of 21st century skills: Methods and approach. New York, NY, USA: Springer.

    Google Scholar 

  • Griffin, P., McGaw, B., & Care, E. (2012). Assessment and teaching of 21st century skills. New York, NY, USA: Springer.

    Google Scholar 

  • Halpin, P. F., & De Boeck, P. (2013). Modelling dyadic interaction with Hawkes processes. Psychometrika, 78, 793–814. doi:10.1007/s11336-013-9329-1

  • Hao, J., Liu, L., von Davier, A., & Kyllonen, P. (2015). Assessing collaborative problem solving with simulation-based tasks. In O. Lindwall, P. Häkkine, T. Koschmann, P. Tchounikine, & S. Ludvigsen (Eds.), Exploring the material conditions of learning: The computer supported collaborative learning conference (Vol. 2, pp. 544–547). Gothenberg, Sweden: International Society of the Learning Sciences.

    Google Scholar 

  • Halpin, P. F. (2013). A scalable EM algorithm for Hawkes processes. In R. E. Millsap, L. A. van der Ark, D. M. Bolt, & C. M. Woods (Eds.), New developments in quantitative psychology: Proceedings of the 77th international meeting of the psychometric society (pp. 403–414). New York: Springer.

    Google Scholar 

  • Hawkes, A. G. (1971). Point spectra of some mutually exciting point processes Point spectra of some mutually exciting point processes. Journal of the Royal Statistical Society, Series B33, 104, 438–443. doi:10.1073/pnas.0703993104

  • Hawkes, A. G., & Oakes, D. (1974). A cluster process representation of a self-exciting process. Journal of Applied Probability, 11, 493–503.

    Google Scholar 

  • Liu, L., Hao, J., von Davier, A., Kyllonen, P., & Zapata-Rivera, D. (2015). A tough nut to crack: Measuring collaborative problem solving. In Y. Rosen, S. Ferrara, & M. Mosharraf (Eds.), Handbook of research on computational tools for real-world skill development (pp. 344–359). Hershey, PA, USA: IGI-Global.

    Google Scholar 

  • Matsubara, Y., Sakurai, Y., Prakash, B. A., Li, L., & Faloutsos, C. (2012). Rise and fall patterns of information diffusion: Model and implications. In KDD’12: Proceedings of the 18th ACM SIGKDD (pp. 6–14). New York, NY, USA: ACM.

    Google Scholar 

  • Oliveira, J. G., & Vazquez, A. (2009). Impact of interactions on human dynamics Impact of interactions on human dynamics. Physica A, 388, 187–192.

    Google Scholar 

  • Paninski, L. (2003). Estimation of entropy and mutual information. Neural Computation, 15, 1191–1253. doi:10.1162/089976603321780272

  • Rasmussen, J. G. (2012). Bayesian inference for Hawkes processes. Methodology and Computing in Applied Probability, 15, 623–642. doi:10.1007/s11009-011-9272-5

  • von Davier, A. A., & Halpin, P. F. (2013). Collaborative problem solving and the assessment of cognitive skills: Psychometric considerations (ETS Research Report No. RR-13-41). Princeton, NJ, USA: ETS.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Peter F. Halpin .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Halpin, P.F., von Davier, A.A. (2017). Modeling Collaboration Using Point Processes. In: von Davier, A., Zhu, M., Kyllonen, P. (eds) Innovative Assessment of Collaboration. Methodology of Educational Measurement and Assessment. Springer, Cham. https://doi.org/10.1007/978-3-319-33261-1_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-33261-1_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33259-8

  • Online ISBN: 978-3-319-33261-1

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics