2025 : Simulating the Final Ladder After R3
/This year’s post Round 3 simulations suggest that the teams can be roughly grouped as below:
(For anyone who is curious about the precise methodology I’ve employed, see this blog post over on the General Probability and Statistics journal)
Hawthorn, Brisbane Lions, Adelaide: about 80-90% chance of being finalists; 50-70% chances of Top 4; 15-30% chances of being Minor Premier
Geelong, Western Bulldogs, Gold Coast, Collingwood, GWS: about 60-75% chances of being finalists; 25-40% chances of Top 4; 4-9% chances of being Minor Premier
Sydney, St Kilda: about 45-50% chances of being finalists; 15% chances of Top 4; 2% chances of being Minor Premier
Fremantle, Carlton, Port Adelaide: about 30-35% chances of being finalists; 7-10% chances of Top 4; 1% or less chances of being Minor Premier
Essendon: about 15% chances of being finalists; 3% chances of Top 4; <1% chances of being Minor Premier
North Melbourne, Melbourne, Richmond, West Coast: about <1-5% chances of being finalists; <1% chances of Top 4; <1% chances of being Minor Premier
LADDER FINISHES
The home and away ladder and Finals projections appear below, along with the changes they represent compared to last week.
Looking at the changes, we have as the most dramatic:
INCREASES
St Kilda: 16% point increase (to 46%) in probability of playing Finals; 8% point increase (to 16%) of finishing top 4
Gold Coast: 14% point increase (to 69%) in probability of playing Finals; 11% increase (to 36%) of finishing top 4
DECREASES
Port Adelaide: 14% point decrease (to 28%) in probability of playing Finals; 8% point decrease (to 7%) of finishing top 4
(Note that I’ve now included a measure of the effective number of ladder positions that a team is vying for. This is the inverse Herfindahl-Hirschman index as discussed here)
FORECASTS FOR THE FINALS
Looking next at Finals prospects, we have:
Flag favouritism is currently, in order:
Hawthorn
Brisbane Lions
Geelong
Collingwood
Western Bulldogs
LIKELY IMPORTANCE OF PERCENTAGE
As the final table for this week, we’ll use the simulations to investigate the estimated likelihood that any given pair of ladder positions will be determined after Round 24 based on percentage.
So, our current estimates are very similar to last week’s and have that:
There’s still about a 7-in-20 chance that 8th will be decided on percentages
There’s now about a 1-in-3 chance that 4th will be decided on percentages
There’s still about a 1-in-6 chance that 1st will be decided on percentages