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Login: | Explaining level changesPremier B: Redwood v Thornbury A (Wed 18 Nov 2009)Match played between Ian Stuart (home) and Luke Momber (away).Match won by Ian Stuart. Result: 9-5,9-6,9-0. Starting level for Ian Stuart: 1,746, level confidence: 79%. Set manually. Starting level for Luke Momber: 1,654, level confidence: 72%. Set manually. Ian Stuart to win as he is currently playing 6% better than Luke Momber. Ian Stuart won all of the games and 71% 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 58% (english scoring). These are weighted and combined to calculate that Ian Stuart played 57% better than Luke Momber in this match. Assuming that any level changes are shared between both players, for this result it looks like Ian Stuart actually played at a level of 2,129 and Luke Momber at a level of 1,356. 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 Ian Stuart changes to +19% and Luke Momber changes to -21%. After applying standard match damping, the adjustment for Ian Stuart becomes +8.6% and for Luke Momber becomes -9.6%. Apply match/event weighting of 75% for 'Mixed Autumn 2009/2010' so the adjustment for Ian Stuart is +6.5% and for Luke Momber is -7%. 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 Luke Momber 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. Ian Stuart: 89%, Luke Momber: 85%. Reduce level confidence based on how unexpected the result is. Ian Stuart: 73%, Luke Momber: 69%. A final adjustment of +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 Ian Stuart: 1,864, level confidence: 73%. Final level for Luke Momber: 1,603, level confidence: 69%. Notes
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