Division 2: Kingsdown v University of Bristol Llamas (Thu 26 Nov 2015)

Match played between Sarah Gillies (home) and Sophia Keen (away).
Match won by Sarah Gillies. Result: 9-4,9-4,9-3.

Starting level for Sarah Gillies: 418, level confidence: 54%.
Starting level for Sophia Keen: 138, level confidence: 43%.
Sarah Gillies to win as she is currently playing 203% better than Sophia Keen.

Sarah Gillies won all of the games and 71% 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 58% (english scoring).
These are weighted and combined to calculate that Sarah Gillies played 57% better than Sophia Keen in this match.

Due to the difference between the players' levels, allow for the likelihood that Sarah Gillies was taking it easy by anything up to 25%. This gives her an allowed level range for this match between 221 and 418 without affecting her level.

As Sarah Gillies has played below her allowed range at 219, her level reduction is 0.9% before damping. On the assumption that Sarah Gillies would normally have been playing at level 315 (based on typical behaviour), Sophia Keen played better than expected and therefore gains a pre-damping level increase of 21%.

Allowing for the difference in level between the players, the adjustments have been reduced to 0.5% and 11% respectively.

Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Sarah Gillies changes to -0.4% and Sophia Keen changes to +11%.

After applying standard match damping, the adjustment for Sarah Gillies becomes -0.4% and for Sophia Keen becomes +7.1%.

Apply match/event weighting of 75% for 'Womens Ladies Winter 2015' so the adjustment for Sarah Gillies is -0.3% and for Sophia Keen is +5.3%.

Increase level confidence due to one more match played. Sarah Gillies: 73%, Sophia Keen: 66%. Reduce level confidence based on how unexpected the result is. Sarah Gillies: 53%, Sophia Keen: 47%.

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 Sarah Gillies: 417, level confidence: 53%.
Final level for Sophia Keen: 144, level confidence: 47%.

Notes

• This calculation is done in two main parts; first work out the adjustment needed to match the results and then apply damping. This means that levels should always be 'about right' but the time taken to get there or the volatility is dependent on the damping.
• A level also has 'level confidence' which drops if players haven't played for a long time or have had enexpected results. As low confidence levels adjust more quickly than high confidence levels, it allows these players to find their level more quickly without impacting their opponent's level too much.
• Point scores are used as well as game scores for accuracy - particularly important for 3-0 results - though we can work with game scores only too, albeit with more damping.
• Mismatched players are allowed for - you don't have to hammer your opponent. See explanation above if this applies to this match.
• The section on damping is where we still have some options. We have recently made a change to damp league matches more than tournament matches and box matches even more than that. This gives added weight to the more important matches.
• There are occasional, very small adjustments made to all players to keep the averages constant which are not covered here.
• You don't get a bonus just for winning - if you want to go up you have to play better than expected against your opponent.
• We have spent more than 5 years fine tuning the level calculations based on tens of thousands of match results and a great deal of feedback from players, team captains and coaches. It's the most usable and accurate ranking system there is in any sport, let alone squash.
• For a more complete explanation of how levels are calculated (on which this system is based) see the help file here.
• If you have thoughts/opinions on the above or any feedback on the way levels are calculated or updated, please contact us. We welcome all feedback, although we are keen squash players ourselves and would pefer to be on-court than in front of a screen so please be patient and please do try to see if your question has already been answered on the help page. We are unable to answer questions about hard anyone played in their match - we only get to see the results - and if your level didn't increase as expected please make sure you've looked at the above explanation before contacting us. If you want to go up the levels, train harder, listen to your coach and win more points. Or just be incredibly talented!