The relative standard deviation of win percentages, the most widely used measure of within-season competitive balance, has an upper bound which is very sensitive to variation in the numbers of teams and games played. Taking into account this upper bound provides additional insight into...

This paper develops a new simulation-based measure of playoff uncertainty and investigates its contribution to modelling match attendance compared to other variants of playoff uncertainty in the existing literature. A model of match attendance that incorporates match uncertainty, playoff...

This paper re-examines the calculation of the relative standard deviation (RSD) measure of competitive balance in leagues in which draws are possible outcomes. Some key conclusions emerging from the exchange between Cain and Haddock (2006) and Fort (2007) are reversed. There is no difference,...

Bonus point systems are a popular tournament design feature in some sports. We consider a bonus point system for the Australian Football League (AFL). In this paper, we utilise league points as a measure of team strength in a prediction model and choose the allocation of points to maximise...

Bonus points provide a simple way to improve the accuracy of league standings. We investigate the inclusion of bonuses in the National Football League (NFL) using a prediction model built on league points. Both touchdown-based and narrow-loss bonuses are shown to be significant. Our preferred...

Appropriate measurement of competitive balance is a cornerstone of the economic analysis of professional sports leagues. We examine the distributional properties of the ratio of standard deviations (RSD) of points percentages, the most widely used measure of competitive balance in the sports...

Individuals who engage in "judging" - that is, rendering a determination in a dispute or contest between two parties - might be influenced by public pressure to favor one of the parties. Many rules and arrangements seek to insulate such individuals from public pressure or to address the effects...

This paper uses play-by-play accounts of virtually all regular season National Football League games for 1998-2000 to analyze teams' choices on fourth down between trying for a first down and kicking. Dynamic programming is used to estimate the values of possessing the ball at different points...

We provide the first analysis of racial in-group bias in Type-I and Type-II errors. Using player-referee matched data from NBA games we show that there is no overall racial bias or in-group bias in foul calls made by referees. Similarly, there is no racial bias or in-group bias in Type-I errors...

We leverage a natural experiment, where a large national automotive racing organization switched from leaded to unleaded fuel, to study how ambient lead exposure and nutrition impact learning in elementary school. The average race emitted more than 10 kilograms of lead -- a quantity similar to...