- For each climb, there is a reference time, similar to the median time now. The reference time is the average of the adjusted times for riders doing the climb.
- For each rider, there is a time adjustment factor. The time adjustment factor is the average of the ratio of the rider's time for a week to that week's reference time. So if a rider always does a climb 10% over that climb's reference time, that rider's adjustment factor will be 1.1.
Friday, November 11, 2011
proposed 2012 Low-Key Hillclimbs scoring algorithm description
The whole key to comparing scores from week-to-week is to come up with a set of reference times for each week. Then the rider's score is 100 × this reference time / the rider's time, where times have first been adjusted if the rider is a woman or a hybrid-electric rider. Presently this reference time is the time of the median rider finishing the climb that week. But if riders who would normally finish in more than the median time don't show up one week, for example Mix Canyon Road, everyone there gets a lower than normal score. That's not fair. So instead we can do an iterative calculation. Iterative calculations are nice because you can simplify a complicated problem by converting it into a series of simpler problem. The solution of each depends on the solution of every other. But if you solve them in series, then solve them again, then again, eventually you approach the self-consistent solution which you would have gotten with a single solution of the full, unsimplified problem, except that problem might be too difficult to solve directly. So here's how we proceed: