Abstract
The essay discusses alternative rules for the classification of the teams in the Brazilian Soccer Championship. Three explanatory variables for the final classification are explored: the total number of goals scored and taken by each team and the results of their matches against each opponent. Two teams are placed in different classes only if their relative ranks according to a combination of these three criteria do not contradict the official ranks. The essay studies the rules for building the joint classification based on the probabilities of dominance according to these three criteria. Finally, it presents the results of the application of different rules to the data of 2006 and 2007.
Notes
1. Bloyce and Murphy, ‘Sports Administration’.
2. Courneya and Carron, ‘The Home Advantage’.
3. Smith, ‘The Home Advantage’; Thomas, Reeves and Davies, ‘An Analysis’; Page and Page, ‘The Second Leg’; Jacklin, ‘Temporal Changes’; Pollard, ‘Worldwide Regional Variations’.
4. Groot, ‘Referees’; Boyko, Boyco and Boyco, ‘Referee Bias’; Dawson et al., ‘Are Football Referees?’; Downward and Jones, ‘Effects of Crowd Size’.
5. Carmichael, Thomas and Ward, ‘Team Performance’; Hoffman, Lee and Ramasamy, ‘The Socioeconomic Determinants’; Haas, ‘Productive Efficiency’; Barros and Leach, ‘Performance Evaluation’; Goddard, ‘Who Wins the Football?’
6. Sant'Anna, ‘Data Envelopment Analysis’.
7. Sant'Anna, ‘Probabilistic Majority Rules’.
8. Zadeh, ‘Fuzzy Sets’, and Zadeh, ‘Fuzzy Sets as the Basis’.
9. Leifer, ‘Perverse Effects’; Madrigal and James, ‘Team Quality’; Nevill, Balmer and Williams, ‘The Influence of Crowd Noise’.
10. Espidia‐Escuer and Garcia‐Cebian, ‘Measuring the Efficiency’.
11. Sant'Anna, Uchoa Barboza and Soares de Mello, ‘A Framework’, 180–5.
12. CBF, Site dos Campeonatos Brasileiros das series A, B e C, 2007. http://200.159.15.35/seriea/Table.aspx.