FMFF World Rankings
The FMFF World Rankings are the official ranking system used by the FMFF. Introduced in 2022, the ratings show the relative strength of the various national women's football teams of Micras. The rating system is inspired by and based on the FMF Elo Micras Rankings.
Calculation principles
The ratings are based on the following formulae:
- Rn = Ro + P
where
- P = KG(W – We)
where
| Rn | = The new team rating |
| Ro | = The old team rating |
| K | = Weight index regarding the tournament of the match |
| G | = A number from the index of goal differences |
| W | = The result of the match |
| We | = The expected result |
| P | = Points Change |
"Points Change" is rounded to the nearest integer before updating the team rating.
Status of match
The status of the match is incorporated by the use of a weight constant. The constant reflects the importance of a match, which, in turn, is determined entirely by which tournament the match is in; the weight constant for each major tournament is:
| Tournament or Match type | K |
|---|---|
| FMFF World Championships | 60 |
| FMFF Regions Cup | 50 |
| Qualification | 40 |
| All other tournaments | 30 |
| Friendlies | 20 |
Number of goals
The number of goals is taken into account by use of a goal difference index.
If the game is a draw or is won by one goal
- G = 1
If the game is won by two goals
- G = 1.5
If the game is won by three or more goals
- Where N is the goal difference
- G = (11 + N)/8
Table of examples:
| Goal Difference | G |
|---|---|
| 0 | 1 |
| +1 | 1 |
| +2 | 1.5 |
| +3 | 1.75 |
| +4 | 1.875 |
| +5 | 2 |
| +6 | 2.125 |
Result of match
W is the result of the game (1 for a win, 0.5 for a draw, and 0 for a loss). This also holds when a game is won or lost on extra time. If the match is decided on penalties, however, the result of the game is considered a draw (W = 0.5).
Expected result of match
We is the expected result (win expectancy with a draw counting as 0.5) from the following formula:
- We = 1/(10–dr/400 +1)
where dr equals the difference in ratings. So dr of 0 gives 0.5, of 120 gives 0.666 to the higher-ranked team and 0.334 to the lower, and of 800 gives 0.99 to the higher-ranked team and 0.01 to the lower.
Standings
Current standings
- Last updated: 25 September 2022
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Historical standings
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List of ratings-leading teams
The following lists all nations who have achieved the number one position in the ratings since February 2015.
† – Ranking-leading team left the FMFF.
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