|
Menu
Login: | Explaining level changesDivision 1: Lansdown 2 v Thornbury B (Wed 11 Oct 2017)Match played between Murray Kenneth (home) and Alex McMillan (away).Match won by Alex McMillan. Result: 1-9,1-9,0-9:1-9,2-9,1-9:6-9,7-9,9-6,9-1,4-9:5-9,3-9,9-7,2-9:9-6,6-9,1-9,5-9. Starting level for Murray Kenneth: 2,433, level confidence: 44%. Starting level for Alex McMillan: 3,692, level confidence: 64%. Alex McMillan to win as he is currently playing 52% better than Murray Kenneth. Alex McMillan won all of the games and 93% 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 278% (english scoring). These are weighted and combined to calculate that Alex McMillan played 278% better than Murray Kenneth in this match. Assuming that any level changes are shared between both players, for this result it looks like Alex McMillan actually played at a level of 5,827 and Murray Kenneth at a level of 1,542. Without any damping, both players would need to be adjusted by 58% to match this result. Allowing for the difference in level between the players, the adjustments have been reduced to 45% and 45% respectively. Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Alex McMillan changes to +31% and Murray Kenneth changes to -45%. After applying standard match damping, the adjustment for Alex McMillan becomes +10.1% and for Murray Kenneth becomes -16%. Apply match/event weighting of 75% for 'Mixed Autumn 2017/2018' so the adjustment for Alex McMillan is +7.6% and for Murray Kenneth is -11%. 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 Murray Kenneth 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. Alex McMillan: 80%, Murray Kenneth: 67%. Reduce level confidence based on how unexpected the result is. Alex McMillan: 51%, Murray Kenneth: 42%. A final adjustment of +0% 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 Murray Kenneth: 2,312, level confidence: 42%. Final level for Alex McMillan: 3,983, level confidence: 51%. Notes
|