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Login: | Explaining level changesPiotr Kochanski v Malcolm Thain (Sat 08 Jan 2022)Match won by Piotr Kochanski. Result: 9-6,9-0,12-10.Starting level for Piotr Kochanski: 144, level confidence: 53%. Starting level for Malcolm Thain: 172, level confidence: 72%. Set manually. Malcolm Thain to win as he is currently playing 19% better than Piotr Kochanski. Piotr Kochanski won all of the games and 65% of the points. This games result would be expected if he was better by around 55% or more. This points result would be expected if he was better by around 88% (PAR scoring). These are weighted and combined to calculate that Piotr Kochanski played 88% better than Malcolm Thain in this match. Assuming that any level changes are shared between both players, for this result it looks like Piotr Kochanski actually played at a level of 215 and Malcolm Thain at a level of 115. Without any damping, both players would need to be adjusted by 50% 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 Piotr Kochanski changes to +45% and Malcolm Thain changes to -30%. After applying standard match damping, the adjustment for Piotr Kochanski becomes +22% and for Malcolm Thain becomes -16%. Apply match/event weighting of 50% for 'Kingsdown & Horfield Boxes' so the adjustment for Piotr Kochanski is +11% and for Malcolm Thain is -7.3%. 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 Piotr Kochanski is limited to +10% 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. Piotr Kochanski: 73%, Malcolm Thain: 85%. Reduce level confidence based on how unexpected the result is. Piotr Kochanski: 49%, Malcolm Thain: 57%. A final adjustment of +2.2% 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 Piotr Kochanski: 159, level confidence: 49%. Final level for Malcolm Thain: 166, level confidence: 57%. Notes
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