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Activity Number: 343
Type: Contributed
Date/Time: Tuesday, July 31, 2007 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Sports
Abstract - #308270
Title: Stochastic Modeling of Sports Data
Author(s): Charles N. Lowe*+ and Alfred A. Akinsete
Companies: Marshall University and Marshall University
Address: 1 John Marshall Drive, Huntington, WV, 25755,
Keywords: Home advantage ; Probability ; Randomness ; Soccer ; Steady state ; Stochastic matrix
Abstract:

This work considers the statistical analysis of soccer data of series of games played between 1994 and 2005 by teams in the English Premier League. We investigate the home advantage using the number of goals and points scored both at home and away. Extending the results in Akinsete (2004), we obtain the winning, as well as the drawing and losing probabilities of one team against another. We investigate the stochastic behavior and obtain the steady state probabilities of teams as they transit from one state to another either within the state space S = {win, draw, lose}, the weekly (in the case of the last three years), or yearly transitional positions of teams. We adopt the Clarke and Norman's model as a measure of teams' ranking in the league. The randomness in the performance pattern of the teams is studied using the run test.


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Revised September, 2007