Mathematics Invades Competitive Sports

Goals

Slide 3

Challenges

Slide 5

Slide 6

Slide 7

Slide 8

Types of Ratings

Bowl Championship Series (BCS)

Schedule Ratings

BCS Computers

Least Squares Model

Least Squares Model

Rank Deficiency

LS Example

LS Example

LS Example

More LS Model Features

LS Notes

Maximum Likelihood Estimator (MLE) Method

Game Outcome Function

GOF Values

GOF Bias

Proof

Game Likelihood Functions

Slide 27

Slide 28

MLE Function

MLE Optimization (Logistic Model)

MLE Issues

Ratings on the Web