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This system uses quality of competition and field size to adjust race and tournament results before adding up the best 4 adjusted races results and best 2 adjusted tournament results to come up with a final ranking. Below I break out the details and discuss more about my rational along the way.
Note that most of these numbers relate only to the current 1-year season. Each season ends after the last major summer convention in which a sanctioned tournament occurs. Also note that as with everything about Championship Formula Racing, I was greatly aided in perfecting this system through the suggestions and help of many many others.
Ranking Points = Top 4 Adjusted Race Scores + Top 2 Adjusted Tournament Scores
Ranking Points is the number that determines a driver's rank. The higher the better. I've run the number from 2013-2016. The following total points would have won those season's title: 161.73, 103.55, 140.35, 136.22. One of the reasons that I think 2015 had a lower number is that there were fewer qualified races that year.
Top 4 Adjusted Race Scores is the sum of a driver's top 4 adjusted race scores. In short, I adjust race results based on the field size and quality of competition. More details below. Past highs in this category: 109.18, 80.40, 110.63, 92.03.
Why 4? I wanted to make this number as large as I reasonibly could without seriously penalizing people who did not have time to go to 3 conventions and participate in every PBeM out there. One of the reasons I went with 4 is that the two major convention tournaments I am aware of make it feasible to run in 4 races at a single event. So a driver who does really well at one of those events would completely be in the running without having to do anything else that year.
Why sum of top 4 and not average or median? I also wanted to incentivize maximum race participation. I want people to participate in as many races as they can without worrying about it affecting their ranking badly. If a driver does really well in their first 4 races of a season, I do not want it to make them hesitant to race again. With this system, every race you participate in can only ever improve your score that season. Worst case scenario is that it adds nothing to your total points.
Top 2 Adjusted Tournament Scores is the sum of a driver's top 2 adjusted tournament scores. In short, I adjust tournament results based on the field size and quality of competition (exactly as I do with individual races). More details below. Past highs in this category: 52.54, 23.15, 29.71, 44.19.
Why 2? As with adjusted race scores, I wanted to make this number large but reasonible. As of the birth of Organized Play there are 4 tournaments on the schedule -- 2 in person and 2 PBeM. That made me feel relatively good about using 2 tournaments instead of just 1.
Why give extra points for tournaments at all? It is completely possible for a driver to win a tournament and yet have fewer adjusted race scores from that tournament as another driver in the same tournament. How? If one driver wins every qualifying heat but then loses the finals. Or if a driver in a lower rung in a ladder series wins every race in that lower series but can't win the title because they are in the lower series. So I wanted tournament winners to get a bump for that.
Now lets look at exactly what makes up an adjusted race score.
Adjusted Race Score = Race Score * Adjusted Field Rating * Rules Adjustment
Race Score is the points gained by a driver in a particular race. The points scale on the right is something I arrived at over the years. The goal is to emphasize podium finishes (top 3) and race wins in particular.
Adjusted Field Rating is a race's field rating divided by the median field rating. So, an average (here, I'm using the word colloquially not mathematically) field would have an Adjusted Field Rating of 1. A below average field would have a rating between 0 and 1. While an above average field would have a rating above 1. Over the last 4 years Adjusted Field Ratings have mostly fallen between 0.5 and 1.5.
A race's Field Rating is the sum of the top 4 race scores for each driver that participated. These race scores are unadjusted and are from the current season and the most recent past season.
Why use unadjusted scores here? For some of you this may be obvious but essentially we don't have any adjusted scores yet. So I need to use unadjusted scores to create some comparisons before I start adjusting stuff.
Why 4 unadjusted scores? Using too few races will skew results to over estimate one-hit wonders or under estimate good drivers who have a bad race. Using too many will over estimate grinders while under estimating good drivers who do not participate in a lot of races.
Why the sum of each driver's race scores and not an average? In this way a race's field rating not only guages the quality of the competition but also takes into account the fact that a race with more drivers is harder to win and easier to not do terribly. If you finish 6th in a 6 car race, that should not count as much as finishing 6th in a 12 car race. Also, beating 11 other cars is better then beating 2 other cars... but of course that depends a little on the quality of those other drivers.
Rules Adjustment will either be 1 or 0.5. If a race has a lot or particularly odd optional rules it gets a Rules Adjustment of 0.5, otherwise this value is always 1. This gives me a grey area that I can put some races in where they are qualified for Organized Play but their results are discounted some.
There is only one race so far this season that got a 0.5 Rules Adjustment. It was an odd but interesting race set up by Jim Orlando that drivers qualified for by winning individual races in the Redscape PBeM and then kind-of raced 1 lap each on 3 different tracks...
Largest adjusted race scores from each of the last 4 years: 38.47, 36.93, 35.18, 33.17. Interestingly, those numbers have gotten progressively larger.
Adjusted Tournament Score = Tournament Score * Adjusted Field Rating * Rules Adjustment
As you can see, tournament standings are scored the exact same way an individual race is scored.
Tournament Score is based on the same points scale as an individual race. So the winner of a tournament gets an unadjusted tournament score of 23, etc. This also means that only the top 10 places in each tournament need be specified.
Adjusted Field Rating works exactly like field ratings for individual races. The obvious different being that a lot more drivers are typcally involved in this rating. And tournament ratings are compared against other tournaments not against individual races.
Rules Adjustment works for tournaments exactly as it does for races. So far this year, no tournament has received a 0.5 Rules Adjustment.
Largest adjusted tournament scores from each of the last 4 years: 38.47, 23.14, 26.75, 26.97.