|
Menu
Login: | Explaining level changesDivision 2: Lansdown A v Redwood (Thu 23 Nov 2006)Match played between Sue Hutchison (home) and Lisa (away).Match won by Lisa. Result: 1-9,1-9,1-9:9-4,10-8,9-6:9-6,9-0,9-2:9-3,9-2,6-9,9-3:9-2,9-1,9-0. Starting level for Sue Hutchison: 372, level confidence: 59%. Starting level for Lisa: 493, level confidence: 50%. Lisa to win as she is currently playing 33% better than Sue Hutchison. Lisa won all of the games and 90% of the points. This games result would be expected if she was better by around 55% or more. This points result would be expected if she was better by around 209% (english scoring). These are weighted and combined to calculate that Lisa played 209% better than Sue Hutchison in this match. Assuming that any level changes are shared between both players, for this result it looks like Lisa actually played at a level of 753 and Sue Hutchison at a level of 244. Without any damping, both players would need to be adjusted by 53% to match this result. Allowing for the difference in level between the players, the adjustments have been reduced to 44% and 44% respectively. Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Lisa changes to +44% and Sue Hutchison changes to -36%. After applying standard match damping, the adjustment for Lisa becomes +22% and for Sue Hutchison becomes -18%. Apply match/event weighting of 75% for 'Womens Winter 2006-7' so the adjustment for Lisa is +16% and for Sue Hutchison is -13%. 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 Lisa is limited to +10% and Sue Hutchison is limited to -5.6% 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. Lisa: 71%, Sue Hutchison: 77%. Reduce level confidence based on how unexpected the result is. Lisa: 47%, Sue Hutchison: 50%. A final adjustment of +7.8% 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 Sue Hutchison: 410, level confidence: 50%. Final level for Lisa: 541, level confidence: 47%. Notes
|