|
Menu
Login: | Explaining level changesDivision 1B: Workout Harbourside v University of Bristol Ballers (Wed 16 Oct 2013)Match played between Kevin Greenland (home) and Ben Brennan (away).Match won by Ben Brennan. Result: 9-7,5-9,4-9,4-9. Starting level for Kevin Greenland: 1,550, level confidence: 48%. Starting level for Ben Brennan: 1,198, level confidence: 41%. Kevin Greenland to win as he is currently playing 29% better than Ben Brennan. Ben Brennan won 75% of the games and 61% of the points. This games result would be expected if he was better by around 25%. This points result would be expected if he was better by around 26% (english scoring). These are weighted and combined to calculate that Ben Brennan played 25% better than Kevin Greenland in this match. An upset! Assuming that any level changes are shared between both players, for this result it looks like Ben Brennan actually played at a level of 1,526 and Kevin Greenland at a level of 1,217. Without any damping, both players would need to be adjusted by 27% to match this result. Allowing for the difference in level between the players, the adjustments have been reduced to 24% and 24% respectively. Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Ben Brennan changes to +24% and Kevin Greenland changes to -20%. After applying standard match damping, the adjustment for Ben Brennan becomes +11.9% and for Kevin Greenland becomes -9.2%. Apply match/event weighting of 75% for 'Mixed Autumn 2013/2014' so the adjustment for Ben Brennan is +8.9% and for Kevin Greenland is -6.8%. 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 Kevin Greenland 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. Ben Brennan: 64%, Kevin Greenland: 69%. Reduce level confidence based on how unexpected the result is. Ben Brennan: 50%, Kevin Greenland: 54%. A final adjustment of +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 Kevin Greenland: 1,502, level confidence: 54%. Final level for Ben Brennan: 1,386, level confidence: 50%. Notes
|