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A parametric family of Massey-type methods: inference, prediction, and sensitivity

Author

Listed:
  • Bozzo Enrico
  • Franceschet Massimo

    (Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy)

  • Vidoni Paolo

    (Department of Economics and Statistics, University of Udine, Udine, Italy)

Abstract

We study the stability of a time-aware version of the popular Massey method, previously introduced by Franceschet, M., E. Bozzo, and P. Vidoni. 2017. “The Temporalized Massey’s Method.” Journal of Quantitative Analysis in Sports 13: 37–48, for rating teams in sport competitions. To this end, we embed the temporal Massey method in the theory of time-varying averaging algorithms, which are dynamic systems mainly used in control theory for multi-agent coordination. We also introduce a parametric family of Massey-type methods and show that the original and time-aware Massey versions are, in some sense, particular instances of it. Finally, we discuss the key features of this general family of rating procedures, focusing on inferential and predictive issues and on sensitivity to upsets and modifications of the schedule.

Suggested Citation

  • Bozzo Enrico & Franceschet Massimo & Vidoni Paolo, 2020. "A parametric family of Massey-type methods: inference, prediction, and sensitivity," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 16(3), pages 255-269, September.
    • Handle: RePEc:bpj:jqsprt:v:16:y:2020:i:3:p:255-269:n:4
    DOI: 10.1515/jqas-2019-0071
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