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

Bozzo Enrico (), Vidoni Paolo and Franceschet Massimo
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Bozzo Enrico: Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy
Vidoni Paolo: Department of Economics and Statistics, University of Udine, Udine, Italy
Franceschet Massimo: Department of Mathematics, Computer Science and Physics, University of Udine, Udine, Italy

Journal of Quantitative Analysis in Sports, 2020, vol. 16, issue 3, 255-269

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.

Keywords: dynamic systems; gossiping process; Massey method; stability; time-aware Massey; time-varying averaging algorithms (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1515/jqas-2019-0071

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