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Login: | Explaining level changesDivision 3: Kingsdown B v Chippenham Olympiad A (Thu 22 Jan 2009)Match played between Wij Wight (home) and Margaret Hiscock (away).Match won by Margaret Hiscock. Result: 9-5,7-9,9-10,4-9. Starting level for Wij Wight: 109, level confidence: 56%. Starting level for Margaret Hiscock: 204, level confidence: 10%. Margaret Hiscock to win as she is currently playing 87% better than Wij Wight. Margaret Hiscock won 75% of the games and 53% of the points. This games result would be expected if she was better by around 25%. This points result would be expected if she was better by around 6% (english scoring). These are weighted and combined to calculate that Margaret Hiscock played 19% better than Wij Wight in this match. Due to the difference between the players' levels, allow for the likelihood that Margaret Hiscock was taking it easy by anything up to 10%. This gives her an allowed level range for this match between 160 and 204 without affecting her level. As Margaret Hiscock has played below her allowed range at 144, her level reduction is 11% before damping. On the assumption that Margaret Hiscock would normally have been playing at level 183 (based on typical behaviour), Wij Wight played better than expected and therefore gains a pre-damping level increase of 19%. Allowing for the difference in level between the players, the adjustments have been reduced to 8% and 14% respectively. Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Margaret Hiscock changes to -8% and Wij Wight changes to +2.4%. After applying standard match damping, the adjustment for Margaret Hiscock becomes -5.5% and for Wij Wight becomes +2.4%. Apply match/event weighting of 75% for 'Womens Spring 2008/2009' so the adjustment for Margaret Hiscock is -4.1% and for Wij Wight is +1.8%. Increase level confidence due to one more match played. Margaret Hiscock: 32%, Wij Wight: 75%. Reduce level confidence based on how unexpected the result is. Margaret Hiscock: 25%, Wij Wight: 60%. A final adjustment of -24.4% 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 Wij Wight: 109, level confidence: 60%. Final level for Margaret Hiscock: 129, level confidence: 25%. Notes
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