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A procedure to estimate relative powers in binary contacts and an application to Dutch Football League results
Author(s) -
Leeflang P. S. H.,
Praag B. M. S. van
Publication year - 1971
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1971.tb00134.x
Subject(s) - league , football , binary number , outcome (game theory) , set (abstract data type) , econometrics , simple (philosophy) , statistics , psychology , operations research , mathematics , computer science , political science , mathematical economics , law , arithmetic , physics , philosophy , epistemology , astronomy , programming language
Summary In this paper a simple model is developed to explain and to predict the results of “binary contacts” in a set of n subjects with different powers where couples meet each other in binary contacts. The outcome is explained by a comparison of the respective powers and the random influences. The problem is to estimate the powers of the subjects from observations in the past and to predict the outcomes of future contacts. The model is relevant in many economic and Sociological settings. Here it is applied to the Dutch Football League results to estimate the relative powers of the teams and to predict the outcomes of future matches.