MCM Modeling in Sports. Jennifer Young Graduate Student January 29, 2008. Outline. Warm-Up Puzzle Modeling in Sports Resources for Sports Information Model Basics Example: World Series Winner Testing a Model Problem of the Week. Warm-Up Puzzle. Football Tournament.
January 29, 2008
Source: Ask Dr. Math http://mathforum.org/library/drmath/view/55642.html
Examples of different types of models used in sports
(Hand out example abstracts)
Websites where you can find helpful sporting information
How to assess, attack, and write up your solution
Predicting the Winner of the World Series
Data from sports.yahoo.com/mlb
Data from espn.com colleges - Trinity, Tufts, Temple, and Tulane. The winners of the first two games met in the third and final game to decide the championship. The colors of the teams were brown, blue, red, and purple: and the competing captains were Albie, Barry, Bill, and Ben.The Data: % Wins Against Opnts
Matlab Program, How well does our model predict the actual results?
Only used 2007 data to test with
Many other factors left out
UNC Student Ticket Distribution
UNC has a great men’s basketball team. Tickets for home games at the Dean Dome are in high demand. There are a certain number of tickets set aside for UNC students for each game. Construct a model on how these student tickets should be distributed. Try to think about what would be “fair” to both students and regular patrons. In your answer, try to address the following:
How many tickets should be designated as student tickets?
How should students sign up for tickets?
How should students be selected to receive tickets?
How should students be assigned seats?
Which seats in the arena should be designated student seats?
Think about this problem with your teammates or friends this week
There are several very open questions here, so try to focus on one of two of them
What systems have been tried at UNC so far?
Lottery with Assigned Seats
Lottery with Phased Seating
Pros and Cons of these systems
What type of model would be in the students’/university’s best interest?
Think about financial issues, traffic flow, noise levels, convenience, etc.
Other questions/issues that come to mind?