FIFA Rankings & World Cup Seeding (2022 Edition)

Discussion in 'FIFA and Tournaments' started by Robert Borden, Nov 17, 2017.

  1. Thezzaruz

    Thezzaruz Member+

    Jun 20, 2011
    Club:
    Arsenal FC
    Nat'l Team:
    Sweden
  2. Thezzaruz

    Thezzaruz Member+

    Jun 20, 2011
    Club:
    Arsenal FC
    Nat'l Team:
    Sweden
    #27 Thezzaruz, Jun 11, 2018
    Last edited: Jun 11, 2018
    If you don't understand ELO systems or its associated math well enough to understand that the issue that tweet pointed to isn't a methodological or substantive one (like the ones we have been discussing here) but purely one of poor writing of the PR departement then I'm not sure it's any use to continue this discussion.
     
  3. BocaFan

    BocaFan Member+

    Aug 18, 2003
    Queens, NY
    I don't think that's wrong though, is it? Teams that qualified for the WC must have gotten better results playing the same opponents as teams from their qualifying group that didn't qualify. So they earned the higher ranking.

    There is a bit of a snowball effect where teams that do better, get higher seeds and easier groups, who then therefore are likely to continue doing better. But that will happen whenever you have seeding. Its not the method of seeding that causes that (see for e.g. the UEFA Champions League which ranks teams purely based on results).
     
  4. thewitness

    thewitness Member

    Melbourne Victory, Derby County
    Australia
    Jul 10, 2013
    Club:
    Derby County FC
    Nat'l Team:
    Australia
    #29 thewitness, Jun 11, 2018
    Last edited: Jun 11, 2018
    If FIFA are keeping the current Rankings points as the starting points (probably so that historical numbers have meaning) we will soon end up with teams on negative rankings points.
    eg.
    If Tonga lose an OFC Nations Cup qualifier to PNG they will then be on -10 points.

    Not that its a big issue stats wise, it just looks bad for the countries involved. Teams that rarely ever get positive results will find themselves permanently in the negative. If they gave all nations a base starting point of 200 points at least the ultra weak nations would stay on the positive side of things for many years.

    The match importance weightings also seem too low, changes in the ranks will take too long to match reality.
     
  5. Timanfaya

    Timanfaya Member+

    May 31, 2005
    Southampton
    You are right, in that my alarm at the new system was purely down to the extreme swings that the published formula would have effected. I was assuming that was by design - one of the stated aims is to emphasise more important matches.

    It turns out just to be an error in the formula. Seems pretty substantive to me. Luckily somebody spotted it.

    As I said at the outset, I'm not an expert on ranking systems. So I was having to do the calculations to find out what the outcome would actually look like.

    What's the basis of the 600 in the formula?
     
  6. JLSA

    JLSA Member

    Nov 11, 2003
    "The current FIFA / Coca-Cola World Ranking will be replaced seamlessly by the new SUM formula without gain or loss of member association rank positions"

    It's not ranking points here - it's positions.

    J
     
    NaBUru38 and thewitness repped this.
  7. JLSA

    JLSA Member

    Nov 11, 2003
    Given that the formula looked very similar to the one used in elorankings.net I don't think many people would have been confused by what is a problem with formatting from word to pdf.

    The 600 is just a number that they probably chose from a list of options - I'm not sure why elo use 400 in their version. The most likely reason is that the multiple for matches are on average less, so the "die off" in this function needs to be lowered to balance - but that's just a guess.

    J
     
  8. Thezzaruz

    Thezzaruz Member+

    Jun 20, 2011
    Club:
    Arsenal FC
    Nat'l Team:
    Sweden
    It was just an error by the PR departement, I might not have much faith in FIFA but this I'm sure they would have gotten right where it mattered. FIFA have used an ELO rating for the Women's game for years and they have a similar term that is correctly used.



    Why they picked 600 I have no idea, I expect they had some good reason.
    What the factor does I'm not sure I can explain that well but it has to do with how much the starting ratings difference between the teams affect the final rating. A term of 600 at FIFA should mean that there are smaller point swings than if the term was 400 (as it is on eloratings.net). But I'm not 100% I got that right. :D
     
  9. Thezzaruz

    Thezzaruz Member+

    Jun 20, 2011
    Club:
    Arsenal FC
    Nat'l Team:
    Sweden
    Yea but you won't have a raking position if you don't have ranking points to sort/differentiate teams. And the Elo system needs starting points to work. So either way you are going to have some built in methodological issues with the rankings.
     
  10. JLSA

    JLSA Member

    Nov 11, 2003
    But not the zero point problem noted in the quoted post.

    J
     
  11. thewitness

    thewitness Member

    Melbourne Victory, Derby County
    Australia
    Jul 10, 2013
    Club:
    Derby County FC
    Nat'l Team:
    Australia
    I just fed the data in as if this new ranking formula had started after the June 2014 FIFA Ranking. I had to make some assumptions so I used the actual FIFA Ranking points (June 2014) as the starting values for the new ranking (which probably isn't going to be correct) and the not losing points in the knockout stages of a tournament (Penalty shoot-outs I considered draws, so the team that progressed sometimes should have lost points, this may also be wrong, maybe shoot-outs are just considered wins and losses).

    Anyway this is what the current ranking would look like if the formula had started June 6th 2014. (Apologies for the names of some countries, it's just how I had the records at hand)

    Position Team Points
    1 Spain 1343
    2 Germany 1308
    3 Brazil 1264
    4 Argentina 1204
    5 Portugal 1164
    6 Belgium 1121
    7 Colombia 1113
    8 England 1093
    9 Switzerland 1076
    10 France 1071
    11 Italy 1062
    12 Uruguay 1044
    13 Chile 1038
    14 Mexico 1012
    15 Netherlands 990
    16 United States 959
    17 Croatia 922
    18 Greece 846
    19 Costa Rica 840
    20 Ukraine 836
    21 Peru 831
    22 Denmark 814
    23 Ecuador 798
    24 Bosnia and Herzegovina 788
    25 Russia 782
    26 Sweden 777
    27 Scotland 760
    28 Serbia 746
    29 Romania 745
    30 Turkey 743
    31 Wales 742
    32 Panama 731
    33 Slovenia 726
    34 Poland 720
    35 Iran 714
    36 Czech Rep. 714
    37 Venezuela 711
    38 Iceland 710
    39 Ghana 706
    40 Slovakia 705
    41 Egypt 703
    42 Austria 699
    43 Algeria 699
    44 Tunisia 690
    45 Paraguay 690
    46 Ivory Coast 678
    47 Japan 665
    48 Nigeria 655
    49 Honduras 645
    50 Australia 639
    51 Senegal 637
    52 Ireland 634
    53 Hungary 630
    54 Cameroon 627
    55 South Korea 624
    56 Morocco 608
    57 Bolivia 573
    58 Norway 569
    59 Dem. Rep. of Congo 563
    60 Burkina Faso 562
    61 Cape Verde 562
    62 Northern Ireland 560
    63 Montenegro 560
    64 Armenia 559
    65 Albania 557
    66 Mali 536
    67 Jamaica 530
    68 South Africa 521
    69 Finland 519
    70 Uzbekistan 517
    71 Guinea 516
    72 Sierra Leone 496
    73 Trinidad and Tobago 493
    74 Bulgaria 475
    75 Zambia 471
    76 United Arab Emirates 470
    77 Haiti 470
    78 Libya 468
    79 Saudi Arabia 466
    80 Uganda 459
    81 El Salvador 451
    82 Israel 446
    83 Jordan 445
    84 China 426
    85 Belarus 426
    86 Congo 418
    87 Oman 415
    88 Macedonia 411
    89 Canada 396
    90 Gabon 390
    91 Benin 390
    92 Iraq 389
    93 Estonia 382
    94 New Zealand 372
    95 Zimbabwe 368
    96 Azerbaijan 362
    97 Qatar 358
    98 Georgia 353
    99 Togo 350
    100 Palestine 349
    101 Equatorial Guinea 342
    102 Syria 329
    103 Cuba 327
    104 Lithuania 326
    105 Central African Republic 325
    106 Botswana 316
    107 Guatemala 312
    108 Kenya 305
    109 Angola 299
    110 Mozambique 299
    111 Lebanon 298
    112 Bahrain 298
    113 Ethiopia 292
    114 Luxembourg 291
    115 Niger 284
    116 Tanzania 283
    117 Namibia 276
    118 Liberia 276
    119 Rwanda 274
    120 Malawi 271
    121 Latvia 269
    122 Kuwait 269
    123 Vietnam 266
    124 Kazakhstan 258
    125 Moldova 253
    126 Cyprus 247
    127 North Korea 243
    128 Mauritania 238
    129 Burundi 235
    130 Madagascar 234
    131 Sudan 230
    132 Kyrgyzstan 230
    133 Philippines 230
    134 Thailand 227
    135 Chad 214
    136 Guinea-Bissau 212
    137 Turkmenistan 207
    138 Antigua and Barbuda 202
    139 Saint Kitts and Nevis 201
    140 Tajikistan 198
    141 Aruba 196
    142 Dominican Republic 189
    143 Surinam 186
    144 Afghanistan 184
    145 India 182
    146 New Caledonia 180
    147 Nicaragua 176
    148 Saint Lucia 172
    149 Lesotho 158
    150 St. Vincent & Grenadines 156
    151 Curacao 155
    152 Swaziland 152
    153 Malta 151
    154 Gambia 151
    155 Hong Kong 148
    156 Indonesia 148
    157 Faroe Islands 144
    158 Grenada 138
    159 Belize 136
    160 Tahiti 133
    161 Guyana 131
    162 Myanmar 128
    163 Barbados 128
    164 Comoros 110
    165 Yemen 104
    166 Puerto Rico 104
    167 Maldives 91
    168 Liechtenstein 89
    169 Singapore 89
    170 Pakistan 87
    171 Montserrat 85
    172 Dominica 82
    173 Bermuda 82
    174 Malaysia 80
    175 Solomon Islands 79
    176 Sao Tome e Principe 74
    177 Taiwan 65
    178 Mauritius 63
    179 Guam 61
    180 Nepal 53
    181 Papua New Guinea 48
    182 Vanuatu 41
    183 South Sudan 39
    184 Kosovo 31
    185 American Samoa 29
    186 Cayman Islands 26
    187 Bangladesh 22
    188 Sri Lanka 22
    189 Cook Islands 18
    190 Seychelles 18
    191 Bahamas 17
    192 Fiji 17
    193 Laos 16
    194 Brunei 2
    195 Eritrea 1
    196 Western Samoa -2
    197 US Virgin Islands -5
    198 British Virgin Islands -7
    199 Mongolia -7
    200 Andorra -8
    201 Somalia -13
    202 Gibraltar -20
    203 Turks and Caicos -21
    204 Cambodia -22
    205 Tonga -22
    206 East Timor -34
    207 San Marino -44
    208 Djibouti -45
    209 Macao -49
    210 Bhutan -58
    211 Anguilla -59
     
  12. amirbachar

    amirbachar Member

    Nov 22, 2007
    The base of 600 in the formula doesn't mean anything mathematically, it is just a scaling factor.
    It does mean that K factor of 60 is equal to 40 on the original Elo ratings (since the scaling factor of it is 400).
     
  13. amirbachar

    amirbachar Member

    Nov 22, 2007
    You are half right...
    The base of 600 in the formula doesn't mean anything mathematically, it is just a scaling factor. So a difference of 400 on the original Elo is equal to a difference of 600 here.
    It does mean that K factor of 60 is equal to 40 on the original Elo ratings (since the scaling factor of it is 400).
     
  14. amirbachar

    amirbachar Member

    Nov 22, 2007
    Th starting values doesn't mean anything after enough matches, Elo converges to specific rankings given the K values no matter what are the initial points.
     
  15. Thezzaruz

    Thezzaruz Member+

    Jun 20, 2011
    Club:
    Arsenal FC
    Nat'l Team:
    Sweden
    There are ways of dealing with the zero point problem (ratings floor is one). There is however no way to use an ELO system with just a ranking list, so there will be a points list too.
     
  16. Thezzaruz

    Thezzaruz Member+

    Jun 20, 2011
    Club:
    Arsenal FC
    Nat'l Team:
    Sweden
    So looking at the old weighting of 4-3-2.5-1 and the new weighting of 60-35-25-10 (just comparing like for like, the new rating have more levels) that means that most every match outside the WC got a somewhat lower weighting, relatively speaking. :thumbsup:


    Takes about 30+ games for the ratings stop being provisional usually right? (is that just a leftover from when it was considered a normal distribution???)

    So any issues should be gone in 3-5 years then. Just in time for them to tinker a bit more before the next WC. :p
     
  17. JLSA

    JLSA Member

    Nov 11, 2003
    It really doesn't - one side is related to exponentials, the other is linear.

    For a initial ranking difference of +5 - a win under 400/40 gains you 19.7 points, under 600/60 you gain 29.7. Even if you changed the 40 and 60 so the +5 case gave the same result, the impact wouldn't be equal for any other starting difference (and you would have to drop from 40 to 39.8ish to do that).

    That is not all contributing to a general lowering in K values. Remember that K is either the same as before or lower for a one goal victory, but in Elo the K factor is boosted for wins by more than one goal - so in the FIFA system the K factors is always less than or equal to Elo - often significantly less.

    The higher scaling factor (600>400) makes the We factor closer to 0.5 -> (1-We) (based win score point gain) is more for the higher ranked team - but less for a win by a lower ranked team. So both changes to the scaling actually downplay the impact of surprise victories (while only the K change limits the impact on expected wins), and means draws will see less change in numbers

    J
     
  18. amirbachar

    amirbachar Member

    Nov 22, 2007
    #43 amirbachar, Jun 12, 2018
    Last edited: Jun 12, 2018
    Trust me on this, I'm a mathematician...
    For a initial ranking difference of +5 - a win under 400/40 gains you 19.7 points, under 600/60 you gain 19.7*1.5 for an initial difference of 1.5*19.7.
    That means that if you take an Elo rating under 400/40, and multiple each rating by 1.5 and then apply N matches under 600/60, it is the same as applying these matches under 400/40 and then multiplying each rating by 1.5.

    In simplified terms, 600/60 is equivalent to 400/40 since you would get exactly the same order if you start all teams from the same ratings, no matter if you do it under 400/40 or under 600/60. This is not necessary the case for 400/60 for example.

    The reason for that is that it is true that the scaling is on the component, but it is re-scaling the difference between the teams inside the formula.
     
  19. Blondo

    Blondo Member+

    Sep 21, 2013
    "The ranking system is set to be updated following the 2018 World Cup as announced by FIFA on 10 June 2018. The calculation method to be adopted will be closely modeled after the Elo rating system and rankings of its member associations will be updated on a game-by-game basis. The weighting designated for each confederation for ranking purposes will be abolished."

    So will the new method already be used for results from Russia 2018 games, the June ranking being the final one based on the old formula, or will they start after, the July ranking being the final one based on the old formula. I'd say the latter one would be better. Brazil 2014 results have depreciated in the June ranking while in the July ranking those results would have been replaced by Russia 2018. Seeing Russia have been in a freefall in the rankings because as hosts they could only play friendlies it would be very harsh to not give them a chance to improve their ranking first. The new method isn't very responsive and it would take them a long time to recover.
     
  20. JLSA

    JLSA Member

    Nov 11, 2003
    Makes we wonder why you are on a message board and not out solving crimes. But then whenever I see a post starting with "trust me on this, I'm a ..." I am reminded of the responses to Marilyn vos Savant's article on the Monty Hall problem - where literally (wait ... yes ... literally) hundreds of [...]s told her she was wrong (based mainly on their being so wonderfully qualified)

    Took a while to work out what you were trying to say here - but then I saw that you had made a mistake (highlighted) that meant it did make literally no sense.

    This is, of course, a fairly drastic simplification of the change that is possible. Indeed, given the whole ranking system relies on differences rather than levels, any linear translation of old ranking to new rankings via a functional form of R' = k + 1.5 x R shares these properties.

    But, of course, I'm not a mathematician.

    J
     
  21. amirbachar

    amirbachar Member

    Nov 22, 2007
    You right, there is no inherit reason for you to trust me.
    Eventually we seem to agree that 600/60 is a linear translation of 400/40, and given initial values that went through the same linear translation, the rankings are the same.
    That's what I meant earlier.

    I do work as an engineer, but I like football, and ranking systems in general. I'm allowed to have hobbies, right?
    BTW, I meant above 1.5*5, which is 7.5.
     
  22. EvanJ

    EvanJ Member+

    Manchester United
    United States
    Mar 30, 2004
    Club:
    Manchester United FC
    Nat'l Team:
    United States
    I would expect the July Rankings to use the new formula. Wouldn't it be strange to announce the new formula before the World Cup and then have World Cup games use the old formula? The host is seeded, so why would it matter to Russia when the formula changes? The draw was done last year, so when the formula changes doesn't matter unless one of the confederations is about to do seeding for something.

    World Cup 2006 ended on July 9. Rankings were released on July 12 using the old formula. I don't know how many World Cup games started counting then and how many started counting in August. Sometimes FIFA skips a month and does not making rankings during a World Cup. In August 2006, the first month after the last formula change, Brazil remained Number 1, and their points almost doubled from 827 to 1,630.

    In the Women's FIFA Rankings, every team has at least 358 points. I think FIFA will do something so that teams never have negative ratings.
     
  23. Blondo

    Blondo Member+

    Sep 21, 2013
    The next ranking is scheduled for 19 July, after the end of Russia 2018, and fifa.com's ranking tool still allows you to calculate your July ranking (minus results from KO stages of course). That doesn't have to mean anything, it probably doesn't, but neither does the date when it was decided that the ranking will be overhauled. FIFA could have stipulated from which day onwards the new formula will be used. I'd like more clarity but for me it's also fine to assume the new method will already be in use. However that means the new method will be used retroactively, as games were played before the decision was taken, on 10 June, and that weren't included in the June ranking (from 4 June onwards).

    There's a big difference between the old and the new method. In case the old method were used you'd see lots of movement in the ranking as soon as the World Cup was decided. When the new method is used your ranking will move more like a continental shelf (these are World Cup matches, not low-yield friendlies, and they wouldn't have a massive impact on your ranking any longer):

    http://www.football-rankings.info/2018/06/fifa-ranking-july-2018-probable-ranking_11.html

    The Qatar 2022 Preliminary Draw is next year in July. Not much time to improve your ranking and many teams can only play low-yield games. Russia picked an awful time to host (their ranking plummeted to an all-time low after playing friendlies), France as well, to a lesser extent, having had the honour of hosting the EUROs. OTOH the likes of Wales, Romania, Poland, Switzerland, ... gamed the rankings and now stand to profit again. FIFA's overhaul of their rankings came about because of reports that teams were gaming the rankings and now FIFA will reward those teams (their inflated points total doesn't reflect their comparative strength and due to the new method it will take a lot of time before it erodes). At least FIFA could allow the likes of Russia to recover from their all-time low ranking and start with the new method once World Cup results are well-represented (which they aren't in the June ranking).
     
  24. EvanJ

    EvanJ Member+

    Manchester United
    United States
    Mar 30, 2004
    Club:
    Manchester United FC
    Nat'l Team:
    United States
    Why does it matter if games from June 4 to June 9 are going to count using the old method once or not at all? I'm assuming that regardless of what method the July rankings use, that they won't be used for a qualifying draw by any confederation. I disagree with http://www.football-rankings.info/ about the weighting for friendlies. Even if FIFA doesn't call it a "window," I'm assuming that all clubs must have released their players for those games. Obviously none of the top clubs play this month. I thought the purpose of weighting friendlies 5 or 10 is to weight them 5 when clubs do not have to release players, but I could be wrong.
     
  25. nfitz

    nfitz Member

    Aug 20, 2007
    Toronto
    These calculations seem to be based on K values of 5 to 60.

    But on the FIFA website, the document that is now linked, uses K values of 0.5 to 6! The internal PDF date is now June 14, 2018 instead of June 10, 2018.

    See https://resources.fifa.com/image/up...orld-ranking.pdf?cloudid=fzltr4s8tz3v3vy0aqo1 referenced in the June 10 FIFA announcement at https://www.fifa.com/about-fifa/new...nates-bids-for-final-voting-by-the-fifa-.html

    I'd assume the newer is wrong, or else it would take 30-40 years to stabilize, rather than 3-4 years!

    (Or perhaps that's in someone's benefit! :) )
     

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