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Login: | Explaining level changesPremier A: Redland Z v Thornbury A (Wed 04 Oct 2017)Match played between Phil Rea (home) and Callum Davidson (away).Match won by Callum Davidson. Result: 5-11,3-11,0-11. Starting level for Phil Rea: 3,327, level confidence: 68%. Starting level for Callum Davidson: 6,483, level confidence: 51%. Callum Davidson to win as he is currently playing 95% better than Phil Rea. Callum Davidson won all of the games and 80% 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 313% (PAR scoring). These are weighted and combined to calculate that Callum Davidson played 313% better than Phil Rea in this match. Assuming that any level changes are shared between both players, for this result it looks like Callum Davidson actually played at a level of 9,432 and Phil Rea at a level of 2,287. Without any damping, both players would need to be adjusted by 45% to match this result. Allowing for the difference in level between the players, the adjustments have been reduced to 31% and 31% respectively. Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Callum Davidson changes to +31% and Phil Rea changes to -21%. After applying standard match damping, the adjustment for Callum Davidson becomes +8.6% and for Phil Rea becomes -7.7%. Given Callum Davidson's level and the type of match played, an additional damping of 6% has been applied to his level change. Apply match/event weighting of 75% for 'Mixed Autumn 2017/2018' so the adjustment for Callum Davidson is +6.1% and for Phil Rea is -5.6%. 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 Phil Rea 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. Callum Davidson: 72%, Phil Rea: 83%. Reduce level confidence based on how unexpected the result is. Callum Davidson: 49%, Phil Rea: 57%. A final adjustment of +0.4% 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 Phil Rea: 3,175, level confidence: 57%. Final level for Callum Davidson: 6,918, level confidence: 49%. Notes
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