|
Menu
Login: | Explaining level changesDivision 4A: BAWA v Weston (Wed 07 Mar 2012)Match played between David Blackwell (home) and Patrick Rice (away).Match won by Patrick Rice. Result: 3-9,0-9,8-9. Starting level for David Blackwell: 208, level confidence: 58%. Starting level for Patrick Rice: 127, level confidence: 31%. David Blackwell to win as he is currently playing 64% better than Patrick Rice. Patrick Rice 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 Patrick Rice played 57% better than David Blackwell in this match. An upset! Assuming that any level changes are shared between both players, for this result it looks like Patrick Rice actually played at a level of 204 and David Blackwell at a level of 130. Without any damping, both players would need to be adjusted by 60% 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 Patrick Rice changes to +45% and David Blackwell changes to -19%. After applying standard match damping, the adjustment for Patrick Rice becomes +22.1% and for David Blackwell becomes -10.9%. Apply match/event weighting of 75% for 'Mixed Spring 2012' so the adjustment for Patrick Rice is +17% and for David Blackwell is -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 Patrick Rice 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. Patrick Rice: 55%, David Blackwell: 76%. Reduce level confidence based on how unexpected the result is. Patrick Rice: 34%, David Blackwell: 48%. 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 David Blackwell: 193, level confidence: 48%. Final level for Patrick Rice: 139, level confidence: 34%. Notes
|