|
Menu
Login: | Explaining level changesDivision 4A: Weston v Keynsham (Wed 22 Dec 2010)Match played between Carol Burrows (home) and Martin Young (away).Match won by Martin Young. Result: 10-8,9-2,1-9,1-9,4-9. Starting level for Carol Burrows: 364, level confidence: 70%. Set manually. Starting level for Martin Young: 319, level confidence: 71%. Set manually. Carol Burrows to win as she is currently playing 14% better than Martin Young. Martin Young won 60% of the games and 60% of the points. This games result would be expected if he was better by around 10%. This points result would be expected if he was better by around 24% (english scoring). These are weighted and combined to calculate that Martin Young played 14% better than Carol Burrows in this match. Assuming that any level changes are shared between both players, for this result it looks like Martin Young actually played at a level of 363 and Carol Burrows at a level of 320. Without any damping, both players would need to be adjusted by 14% 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 Martin Young changes to +13% and Carol Burrows changes to -13%. After applying standard match damping, the adjustment for Martin Young becomes +7.8% and for Carol Burrows becomes -7.9%. Apply match/event weighting of 75% for 'Mixed Autumn 2010' so the adjustment for Martin Young is +5.8% and for Carol Burrows is -5.8%. 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 Carol Burrows 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. Martin Young: 84%, Carol Burrows: 84%. Reduce level confidence based on how unexpected the result is. Martin Young: 74%, Carol Burrows: 74%. A final adjustment of +0.3% 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 Carol Burrows: 348, level confidence: 74%. Final level for Martin Young: 339, level confidence: 74%. Notes
|