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Login: | Explaining level changesDivision 6: University of Bath 4 v University of Bath 5 (Wed 29 Nov 2023)Match played between Oliver Chun (home) and Luke Relph (away).Match won by Luke Relph. Result: 15-8,15-17,11-15,15-6,9-15. Starting level for Oliver Chun: 583, level confidence: 55%. Starting level for Luke Relph: 413, level confidence: 49%. Oliver Chun to win as he is currently playing 41% better than Luke Relph. Luke Relph won 60% of the games and 48% 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 worse by around 7% (PAR scoring). These are weighted and combined to calculate that Luke Relph played 6% better than Oliver Chun in this match. Assuming that any level changes are shared between both players, for this result it looks like Luke Relph actually played at a level of 505 and Oliver Chun at a level of 477. Without any damping, both players would need to be adjusted by 22% to match this result. Allowing for the difference in level between the players, the adjustments have been reduced to 18% and 18% respectively. Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Luke Relph changes to +18% and Oliver Chun changes to -16%. After applying standard match damping, the adjustment for Luke Relph becomes +10.5% and for Oliver Chun becomes -9.4%. Apply match/event weighting of 75% for 'Mixed Autumn 2023/2024' so the adjustment for Luke Relph is +7.8% and for Oliver Chun is -6.9%. 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 Oliver Chun 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. Luke Relph: 70%, Oliver Chun: 74%. Reduce level confidence based on how unexpected the result is. Luke Relph: 57%, Oliver Chun: 61%. A final adjustment of +3.3% 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 Oliver Chun: 563, level confidence: 61%. Final level for Luke Relph: 468, level confidence: 57%. Notes
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