Education Technology

AFL Dominance

Published on 09/15/2016

Activity Overview

With 18 teams and 22 rounds, the AFL home and away season has every team playing each other team once with 5 games left over. The 5 additional games means that your team must play a selection of the competition, what if these games all involve teams in the top 8? Could you develop a better ranking system to accommodate this situation? Students use dominance matrices to investigate.

Objectives

Use dominance matrices to analyse and rank teams in a round-robin type competition.

Vocabulary

  • Probability
  • Trial
  • Estimate
  • Reciprocal

About the Lesson

Students use data from the AFL home and away season to populate a binary matrix for the wins and losses of teams in the top 4, the teacher notes provide additional data for the top 8 with some interesting insights worthy of showing students! The binary matrix is then used to produce a first order dominance vector and later a second order dominance vector. These two vectors are then combined to produce a plausible ranking system.