Hobbs
With the mathematical validity of the system scrutinised in the article, it requires the player to enter competitive events to trigger up or down
Just to confirm the conclusion was that then handicap system's modelling is excellent and our data validates that it achieves what its aims are.
Handicaps are nothing to do with the world rankings. This is a separate system that CAQ decides to implement. You are correct about different things for eligibility for world rankings. For Qld handicaps there are no requirements. They can be used on club days if wanted.
You make a good point about what does a 5 look like or a 9 look like. The only way is for people to have more data points and they'll find where they will be. Someone who winning by superior skill and not variable noise will move up the divisions quickly, as designed.
But I really wanted to lay down a simple illustration the point vs range.
All the discussions need to be framed within this truth.
Handicap point vs range
A handicap 7 might play like a 5 or a 9 on any given day depending on form, luck, and all the variabilities of the game. That range is what gets complained about.
Take a handicap 4 playing the 7 above. The 4's range on a day is roughly 2 to 6. The 7's range is roughly 5 to 9.
https://tv.croquetwade.com/download/web-videos/01b72dec-1408-4064-8eb9-5bf15f85acf9-1080.mp4
https://tv.croquetwade.com/w/1dhD4z86xk19rmptRhR9pt
Everyone says "the handicaps are wrong" but both players were inside their normal range.
Doubles should be included as more games increases accuracy
As a former player I don't want my skills ruined by my inferior partner either 😛.
However as a maths person i want the maximum sample size because that increases accuracy of the measurement. There is no evidence that double skews results and more data is certainly better, so there is every maths reason to include them.
In fact excluding doubles would reduce the accuracy of the system. AC suffers from low games even more than GC, so they should consider adding doubles to get more data into that system, if the systems should match.
This is a minor debate maths wise. There is no mathematical problem with removing doubles if it was decided to include singles only games.
Conclusion
The really important thing for people to understand is what they observe at pennants matches when a 7 beats a 4 is the variability of the game; a sporting upset.
Whoever built the system did a good job and it is working well.
It operates as well as it ever will. The reason why the system will seem like 'this isn't right' no matter the proposal is because no system will ever be correct. This is as near close as you will get when measuring ranges with points.
We could calculate standard deviations and map everyone to get an expected value which attempts to internalise the currently unaccounted for variability. But really, this is pennant croquet. Not needed.
Just go out and enjoy the game, the upsets. The challenges. Scraping a win when you play badly. Having a blinder of a day where everything sailed through the hoop...or the day nothing goes right.