Originally posted by Giannotti
...so maybe the answer is a more dynamic equation, including the five year high, as well as the yearly high, and the current average
...very good point
Actual site formula utilised to project ratings. Thanks to moonbus.
Hypothetical scenario.
Clan A v Clan B
1) robbie 1798 v mghrn55 1810: result 1/2 - 1/2
2) tomeasyrider 1600 v hetrz van rental 1610: result 0-1
3) settl 930 v suzzianne 1000: result 1-0
The following formulas were copy-pasted from the RHP FAQ:
New Rating = Old Rating + K * (Score - Win Expectancy).
K is a constant (32 for 0-2099, 24 for 2100-2399, 16 for 2400 and above).
Score is 1 for a win, 0.5 for a draw and 0 for a loss.
The Win Expectancy is calculated using the following formula:
Win Expectancy = 1 / (10^((OpponentRating-YourRating)/400)+1)
Note: ^ = "to the power of", e.g. 2^3=8.
The following calculations were executed according the above formulas and the hypothetical challenge results above:
1) new rating robbie = 1798 + 32 * (0.5 - X).
where X = 1 / (10^((1810-1798)/400)+1).
solving for X first = 0.48273747.
now solving the new rating equation = 1798 + 32 * (0.5 - 0.4827) = 1799.
2) new rating tomeasyrider = 1600 + 32 * (0.0 - X).
where X = 1 / (10^((1610-1600)/400)+1).
solving first for X = 0.4856.
now solving the new rating equation for tomeasyrider = 1600 + 32 * (0.0 - 0.4856) = 1584.
3) new rating settl = 930 + 32 * (1.0 - X).
Where X = 1 / (10^((1000-930)/400)+1).
solving first for X = 0.400.
now solving the new rating equation for settl = 930 + 32 * (1.0 - 0.400) = 949.
Based on these individual ratings changes, the collective net rating change for this challenge is calculated as follows: +1 for game one, -16 for game two, + 19 for game three = +4 points for Clan A. (Do the math for Clan B.)
Hope this helps.