# Scoring

## for QOFLs

How the results and league tables are calculated. A simple explanation, followed by a more detailed explanation and a justification for why the club chose the scoring method it uses.

## Rules and scoring

- The league is open to any member of a BOF affiliated orienteering club. Non-members are not scored.
- Only individual competitors are eligible, i.e. pairs, teams, 2nd runs and shadowed juniors are not scored.
- Eligible competitors are automatically entered into the league - no separate registration is required.
- The winner of each course is the person with the highest score from their best three events over the season.
- Two separate scoring systems are used: The Elite League and Handicap League.

### Elite League

- Scores are generated purely from the finish times.
- On each course the average time for the top 90% of the qualifying competitors is worth 1000 points.
- Each score is based on 100pts for each standard deviation quicker or slower than the average time.

### Handicap League

- Scores take into account age handicaps, in order to try to eliminate the effects of age and sex.
- All times are first adjusted by multiplying competitors actual times by handicap factors based on the competitors age class.
- This often changes who the course winner is!
- Based on the adjusted times the scores are calculated as above, using the
**handicap table**.

## How league points are calculated

### The Stats method

The system that we use is called the Stats method. This system is basically used to calculate the BOF national rankings, and has been successfully employed in multi-day leagues such as the Scottish 6 Days. The proposal is to start using this system in the autumn, and QO members are invited to express their opinions.

On each course the average time for the top 90% of the qualifying competitors is worth 1000 points. Each score is based on 100pts for each standard deviation quicker or slower than the average time. 90% is used to reduce the effect of outliers on the calculations, but all will receive a score.

On the courses with 10 or less qualifying runners the standard deviation is 20% of the mean (Small Course formula), and courses with 11 to 19 runners have a weighted mean of both formulae.

### Points calculation

Points are calculated as follows:

• Runner's points, RP = MP+ [SP x (MT - RT)] / ST

(MT - RT )/ ST gives number of standard deviations of runner’s time RT above

or below race mean time MT ( ST is the standard deviation of the runners' times)

• Multiplying by SP , the standard deviation of the runners’ points, converts this to points

• This difference is added to MP , the average points for the runners in the race and this gives the runner's points RP

• a modified formula is used for small courses:- Substitute ( 0.2 x MT) for ST

• If there are between 11 and 19 runners, a weighted mean of the scores given by the above two formulae is used, e.g. with 17 runners, the points are

• 0.7 x Main formula + 0.3 x Small course formula

#### Example

• Suppose X comes 4th on a course in a time of 88 minutes ( RT ); the average time for the runners in the race is 100 minutes ( MT ) and the standard deviation of their times is 10 minutes ( ST )

• Thus ( MT - RT )/ ST = 12/10, or 1.2 standard deviations above the average time for the runners in the race

• Mean points (MP) = 1000 and standard deviation points ( SP ) = 100

• So X gets more points than the average runner, this given by 1.2 x 100 = 120

• Thus final points = 1000 + 120 = 1120

### Enquiries

If you have any comments or questions, please contact me using the details on the contacts page.

- Brian Pearson, July 2010

QO results secretary

## Justification for the scoring method

For quite a few years now we have had a forest league, and it has provided a good competition for local orienteers from ours and neighbouring clubs. An excellent article by David Rosen in CompassSport magazine comparing multi-day scoring systems provided the inspiration to look at our league in more detail. The club goes to great effort to ensure the maps are accurate, the control points are fair, and the timing is correct. All of those aspects are intended to provide a valid result so using the best scoring system makes sense, especially when a spreadsheet can do a lot of the work.

To my mind the aim of the league should be to provide a valid result for consistent performances over a whole season. There have been times however when our scoring system based on 1000 points for the winner has caused a negative effect on the outcome for the rest of the field, and also not adequately rewarded outstanding performances.

Various examples of this can be seen in the final tables when an occasional appearance made by an elite runner on the blue course has resulted in lower scores for regular runners even though they have orienteered to their usual abilities. This has often resulted in scores being dropped by chance.

Elite runners should score more points for winning by 10 minutes than for winning by 10 seconds as this is obviously a better achievement. Furthermore if a 1 minute time difference on the day is worth a consistent number of points then this is fairer than the current system that compresses the scores further down the table.

*Brian Pearson, **July 2010*