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Login: | Explaining level changesDivision 4: Bradley Stoke Squash Club B v Yate A (Wed 29 May 2024)Match played between Mark Stone (home) and Nigel Cooper (away).Match won by Nigel Cooper. Result: 11-15,15-10,10-15,10-15:15-13,15-4,16-14:15-5,15-9,9-15,13-15,15-6:11-15,9-15,20-18,15-13,10-15. Starting level for Mark Stone: 1,512, level confidence: 47%. Starting level for Nigel Cooper: 1,259, level confidence: 66%. Mark Stone to win as he is currently playing 20% better than Nigel Cooper. Nigel Cooper won 75% of the games and 54% of the points. This games result would be expected if he was better by around 25%. This points result would be expected if he was better by around 20% (PAR scoring). These are weighted and combined to calculate that Nigel Cooper played 23% better than Mark Stone in this match. Assuming that any level changes are shared between both players, for this result it looks like Nigel Cooper actually played at a level of 1,531 and Mark Stone at a level of 1,243. Without any damping, both players would need to be adjusted by 22% to match this result. Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Nigel Cooper changes to +14% and Mark Stone changes to -20%. After applying standard match damping, the adjustment for Nigel Cooper becomes +7.5% and for Mark Stone becomes -9.3%. Apply match/event weighting of 65% for 'Mixed Summer 2023/2024' so the adjustment for Nigel Cooper is +4.9% and for Mark Stone is -5.8%. Apply limits to the amount of change for a single match which are based on player level, level confidence and time since last match so that Mark Stone is limited to -5% level change. In general a player's level won't go up by more than 10% or drop more than 5% if they've played in the last 7 days but those limits are relaxed if their previous match was further back. Increase level confidence due to one more match played. Nigel Cooper: 81%, Mark Stone: 68%. Reduce level confidence based on how unexpected the result is. Nigel Cooper: 67%, Mark Stone: 56%. A final adjustment of -0.1% has been made to both players as part of the automatic calibration that is performed after each match. All players in this pool will have been adjusted equally in order to remain equivalent to other player pools. Final level for Mark Stone: 1,438, level confidence: 56%. Final level for Nigel Cooper: 1,319, level confidence: 67%. Notes
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