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No problem. Constructive criticism or questioning is good.Yeah definitely. Sorry I wasn't trying to be overly critical, just raising a point I thought of, as I had a quick perusal and it seemed handicaps had reduced rather than increased in general over the season (which might not even be correct as it's just based on a quick look).
I think the general application of zero sum is fair enough for the purpose of the competition, not advocating for exactly 1 for 1 necessarily and yeah that would be difficult to implement with ins/outs each each as well.
I agree with not changing the handicaps until there's runs (or lack thereof) on the board but I think it would be cool to see some of the back end players gain larger handicaps to entice piesters into selecting them, especially for those that have fallen behind in the standings. Just as examples, Duryea and Williams both have kicked 0 goals in 4 weeks but their handicaps haven't changed much at all. Could be cool to have them blow out a bit (similar to how Smith and VDM decreased) which would also help to increase the variation in players selected.
Anyway, I think you're already doing it more or less so yeah, all good !
I found half an hour to run the numbers.
*** Geek Alert ***
I constructed them as an index (with Round 1 being base=100) and only used those 22 players who were selected each week.
The way the index was derived was to pose the question "how many goals would it take on this handicap to get 100 Pieman points?" This means that the shorter the collective handicaps the higher the index goes. So for instance in Rd 1 Tim English had a handicap of 14 and that would have required 7.14 goals to make 100 pts. In Round 2 his handicap was 13 so it would have needed 7.69 goals and so on. Tomorrow his handicap is 10 so he needs 10 goals to make 100 pts.
I then added up that result for all 22 players over the 5 rounds and normalised it to 100 for Rd 1 so it could be used as an index (easier to interpret). I used the same Rd 1 normalising number as the multiplier for all subsequent rounds.
Whether I've explained that clearly enough or not the main thing is to look at the movement of the index each week. Taken across the playing list of 22 each week (excluding medical subs and emergencies) the index has changed as follows:
Rd 1 | 100.0 |
Rd 2 | 97.9 |
Rd 3 | 96.9 |
Rd 4 | 102.3 |
Rd 5 | 103.5 |
So it's in about that range I guessed (plus or minus 3% to 5% since Rd 1). The big difference came after our 25 goal romp against North and most of that was from shortening Bruce's handicap after his 10 goal haul (plus a bit from Bont and English).
I'll keep an eye on it over the coming weeks. I'll aim to keep the index close to 100 but I won't be losing any sleep if it goes a bit over 105 or a bit under 95.
Hope that answers your question.