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World Rugby Rankings

  • 29-11-2014 5:16pm
    #1
    Registered Users, Registered Users 2 Posts: 610 ✭✭✭


    I'm trying to replicate the calculations for the World Rugby rankings. However, the formulae are not exactly readily available.

    The IRB's (sorry, World Rugby) website does not really give a good idea of how the rankings work, and doesn't give any formulae. I did find a formula in the French Wikipedia article about the subject, but it is not really satisfactory either.

    From what I can gather, the formula is:
    • If a higher ranked team wins it gets C x (1 - D / 10); the lower ranked team loses the same amount.
    • If a lower ranked team wins, it get C x (1 + D / 10); the higher ranked team loses the same.
    Where:
    • C = 1, 1.5, 2 or 3 depending on whether the the team wins by more or less than 15 points, and whether the match is a World Cup match or not.
    • D = Team's world rankings - team's opponent's world rankings + 0/3 points based on whether the team is away or home, with a max/min of 10/-10

    This all seems reasonably straight forward. However, I can't work out what happens if the teams are tied in points before starting the match. Who does the system view as being the higher ranked team?


Comments

  • Registered Users, Registered Users 2 Posts: 4,792 ✭✭✭cython


    Clauric wrote: »
    I'm trying to replicate the calculations for the World Rugby rankings. However, the formulae are not exactly readily available.

    The IRB's (sorry, World Rugby) website does not really give a good idea of how the rankings work, and doesn't give any formulae. I did find a formula in the French Wikipedia article about the subject, but it is not really satisfactory either.

    From what I can gather, the formula is:
    • If a higher ranked team wins it gets C x (1 - D / 10); the lower ranked team loses the same amount.
    • If a lower ranked team wins, it get C x (1 + D / 10); the higher ranked team loses the same.
    Where:
    • C = 1, 1.5, 2 or 3 depending on whether the the team wins by more or less than 15 points, and whether the match is a World Cup match or not.
    • D = Team's world rankings - team's opponent's world rankings + 0/3 points based on whether the team is away or home, with a max/min of 10/-10

    This all seems reasonably straight forward. However, I can't work out what happens if the teams are tied in points before starting the match. Who does the system view as being the higher ranked team?

    I'd say it's probably a remote enough possibility for teams to be on the exact same points to 2 decimal places to be joint in the rankings, but I would guess they would cancel each other out in the section below in that the bolded would be 0:
    D = Team's world rankings - team's opponent's world rankings + 0/3 points based on whether the team is away or home, with a max/min of 10/-10
    So it doesn't matter if D is added or subtracted since it's 0? In essence, a 3rd point to yours above
    • If the teams are equally ranked wins, the winning team gets C ; the losing team loses the same.


  • Registered Users, Registered Users 2 Posts: 610 ✭✭✭Clauric


    cython wrote: »
    So it doesn't matter if D is added or subtracted since it's 0?

    If 2 teams are on 30 points, the home team is playing for 1+/- 0.3 points, while the away team is playing for 1 point, assuming that neither teams wins by more than 15 points, and it is not a World Cup match


  • Registered Users, Registered Users 2 Posts: 4,792 ✭✭✭cython


    Clauric wrote: »
    If 2 teams are on 30 points, the home team is playing for 1+/- 0.3 points, while the away team is playing for 1 point, assuming that neither teams wins by more than 15 points, and it is not a World Cup match

    Ah, sorry, misread that piece in my one. I'm not sure so, but you could try some experimentation in this calculator to see how he handles it? I think this is a long standing one, and has been tested quite a bit. Again though, this might be a sufficiently unlikely scenario not to have been tested there either.


  • Registered Users, Registered Users 2 Posts: 610 ✭✭✭Clauric


    cython wrote: »
    Ah, sorry, misread that piece in my one. I'm not sure so, but you could try some experimentation in this calculator to see how he handles it? I think this is a long standing one, and has been tested quite a bit. Again though, this might be a sufficiently unlikely scenario not to have been tested there either.

    Interesting website, where I originally found the French wikipedia article.

    His website seems to assign the 1 + 0.3 points to both teams depending if they win or lose, even in a neutral ground, which I don't think is right.


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