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

Author:

Bozzo Enrico1ORCID,Vidoni Paolo2ORCID,Franceschet Massimo1ORCID

Affiliation:

1. Department of Mathematics, Computer Science and Physics , University of Udine , Udine , Italy

2. Department of Economics and Statistics , University of Udine , Udine , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Decision Sciences (miscellaneous),Social Sciences (miscellaneous)

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