User:Txikon/sandbox

The World Football Elo Ratings is a ranking system for men's national association football teams that is published by the website eloratings.net. It is based on the Elo rating system but includes modifications to take various football-specific variables into account, like the margin of victory, importance of a match, and home field advantage. Other implementations of the Elo rating system are possible and there is no single nor any official Elo ranking for football teams. The FIFA World Rankings, not based on the Elo method, but changing soon^[1], is the official national teams rating system used by the international governing body of football and is therefore more prevalent.

The ratings consider all official international matches for which results are available. Ratings tend to converge on a team's true strength relative to its competitors after about 30 matches.^[2] Ratings for teams with fewer than 30 matches are considered provisional.

The FIFA Women's World Rankings system uses a modified version of the Elo formula whereas the FIFA men's ranking system uses a non-Elo formula. A 2009 comparative study of eight methods found that the implementation of the Elo rating system described below had the highest predictive capability for football matches, while the men's FIFA ranking method performed poorly.^[3]

Top 100

The following table shows the top 100 teams in the World Football Elo Ratings as they were on 7 July 2018 (23:40 FET), using data from the World Football Elo Ratings web site.^[4]

Each national team's FIFA World Ranking is shown as per the latest release on 7 June 2018.^[5]

AFC	CAF	CONCACAF	CONIFA	CONMEBOL	OFC	UEFA

Elo Rank	1 Year Change	Team	Elo Rating	FIFA Rank
34	3	Paraguay	1728	32
34	12	Turkey	1728	38
36	8	Romania	1727	30
37	12	Costa Rica	1726	23
38	5	Russia	1721	70
39	21	Morocco	1720	41
40	5	Australia	1713	36
40	2	Czech Republic	1713	46
42	1	Scotland	1709	42
43	23	Iceland	1708	22
44	9	Nigeria	1702	48
45	16	Japan	1699	61
46	1	Northern Ireland	1676	29
47	19	Tunisia	1662	21
48	7	Bolivia	1661	59
49	3	Greece	1646	44
50	17	Ghana	1645	47
51	4	Cameroon	1644	49
52	17	Norway	1639	53
53	2	Slovenia	1626	56
54	1	Bulgaria	1614	49
55	13	Syria	1606	73
56	21	Finland	1605	63
57	8	Ivory Coast	1601	68
58	6	Uzbekistan	1599	95
59	1	Burkina Faso	1598	52
60	3	Montenegro	1597	43
61	11	Panama	1595	55
62	2	Honduras	1590	62
63	1	DR Congo	1589	38
64	7	Saudi Arabia	1588	67
65	17	Egypt	1576	45
65	11	Hungary	1576	51
67	18	Jamaica	1574	54

Elo Rank	1 Year Change	Team	Elo Rating	FIFA Rank
68	7	South Africa	1565	74
69	10	Albania	1560	58
70	9	Iraq	1550	89
71	25	Oman	1539	84
72	3	Canada	1534	79
72	1	China	1534	75
74	2	United Arab Emirates	1532	77
75	5	Israel	1527	93
76	11	Belarus	1522	78
77	1	Mali	1520	64
78	16	North Macedonia	1518	71
79	2	Guatemala	1511	146
80	25	Algeria	1509	66
81	4	New Zealand	1503	120
82	8	Georgia	1497	96
83	5	Haiti	1494	104
84	2	Estonia	1487	94
85	12	Qatar	1486	98
86	6	Libya	1476	101
87	3	Jordan	1471	110
88	11	El Salvador	1470	72
89		Zimbabwe	1469	118
90	18	Lebanon	1459	79
91	11	North Korea	1457	108
92	1	Northern Cyprus^[a]	1456	—
93	11	Armenia	1454	100
93	19	Guinea	1454	68
95	4	Zambia	1446	76
96	2	Gabon	1440	85
97	5	Martinique^[b]	1439	—
98	5	Cape Verde	1435	65
99	14	Kosovo	1431	141
100	13	Kuwait^[c]	1430	159

List of number one teams

The following is the list of nations who have achieved the number one position in the World Football Elo Ratings since 1872:^[6]

Start Date	Nation	# of days
10 Feb 1946	Argentina	455
11 May 1947	Argentina Italy	182
9 Nov 1947	Argentina	335
9 Oct 1948	England	182
9 Apr 1949	Argentina	442
25 Jun 1950	England	4
29 Jun 1950	Argentina	814
20 Sep 1952	Hungary	218
26 Apr 1953	Argentina	21
17 May 1953	Hungary	1,417
3 Apr 1957	Argentina	3
6 Apr 1957	Hungary	67
12 Jun 1957	Argentina	95
15 Sep 1957	Hungary	8
23 Sep 1957	Argentina	13
6 Oct 1957	Hungary	249
12 Jun 1958	Hungary Brazil	3
15 Jun 1958	Brazil	634
10 Mar 1960	Hungary	3
13 Mar 1960	Argentina	47
29 Apr 1960	Brazil	27
26 May 1960	Argentina	3
29 May 1960	Brazil	1,026
21 Mar 1963	Soviet Union	836
4 Jul 1965	Brazil	322
22 May 1966	Soviet Union	13
4 Jun 1966	Brazil	41
15 Jul 1966	Soviet Union	10
25 Jul 1966	West Germany	5
30 Jul 1966	England	1,408
7 Jun 1970	Brazil	742
18 Jun 1972	Brazil West Germany	10
28 Jun 1972	West Germany	11
9 Jul 1972	Brazil	129
15 Nov 1972	West Germany	91
14 Feb 1973	Brazil	484
13 Jun 1974	West Germany	9
22 Jun 1974	Brazil	11
3 Jul 1974	West Germany	1,429
1 Jun 1978	Netherlands	6
7 Jun 1978	West Germany	3
10 Jun 1978	Netherlands	1
11 Jun 1978	West Germany	3
14 Jun 1978	Brazil	504
31 Oct 1979	West Germany	434
7 Jan 1981	Brazil	3
10 Jan 1981	West Germany	71
22 Mar 1981	Brazil	10

Start Date	Nation	# of days
1 Apr 1981	West Germany	44
15 May 1981	Brazil	152
14 Oct 1981	West Germany	243
14 Jun 1982	Brazil	486
13 Oct 1983	Soviet Union	335
12 Sep 1984	France	232
2 May 1985	West Germany	41
12 Jun 1985	France	91
11 Sep 1985	Soviet Union	133
22 Jan 1986	France	154
25 Jun 1986	Brazil	3
28 Jun 1986	France	1
29 Jun 1986	Argentina	346
10 Jun 1987	Brazil	23
3 Jul 1987	England	57
29 Aug 1987	Soviet Union	74
11 Nov 1987	England	141
31 Mar 1988	England Soviet Union	2
2 Apr 1988	England	71
12 Jun 1988	Soviet Union	5
17 Jun 1988	West Germany	1
18 Jun 1988	Soviet Union	7
25 Jun 1988	Netherlands	715
10 Jun 1990	Netherlands West Germany	2
12 Jun 1990	West Germany	7
19 Jun 1990	Brazil	5
24 Jun 1990	West Germany	725
18 Jun 1992	Netherlands	3
21 Jun 1992	Germany	5
26 Jun 1992	Netherlands	75
9 Sep 1992	Germany	35
14 Oct 1992	Brazil	2
16 Oct 1992	Argentina	246
19 Jun 1993	Germany	370
24 Jun 1994	Brazil	3
27 Jun 1994	Germany	12
9 Jul 1994	Brazil	708
16 Jun 1996	Germany	3
19 Jun 1996	Germany Brazil	4
23 Jun 1996	Germany	352
10 Jun 1997	Brazil	380
25 Jun 1998	Germany	2
27 Jun 1998	Brazil	2
29 Jun 1998	Germany	4
3 Jul 1998	Brazil	9
12 Jul 1998	France	331
8 Jun 1999	Brazil	374
16 Jun 2000	France	5

Start Date	Nation	# of days
21 Jun 2000	Brazil	4
25 Jun 2000	France	711
6 Jun 2002	Argentina	1
7 Jun 2002	Italy	1
8 Jun 2002	France	3
11 Jun 2002	Netherlands	10
21 Jun 2002	Brazil	236
12 Feb 2003	Netherlands	210
10 Sep 2003	France	291
27 Jun 2004	Czech Republic	4
1 Jul 2004	France	65
4 Sep 2004	Argentina	273
4 Jun 2005	Czech Republic	4
8 Jun 2005	Argentina	21
29 Jun 2005	Brazil	102
9 Oct 2005	Netherlands	3
12 Oct 2005	Brazil	265
4 Jul 2006	Italy	43
16 Aug 2006	France	52
7 Oct 2006	Brazil	122
6 Feb 2007	France	1
7 Feb 2007	Brazil	119
6 Jun 2007	Brazil France	21
27 Jun 2007	France	14
11 Jul 2007	Argentina	4
15 Jul 2007	Brazil	334
13 Jun 2008	Netherlands	8
21 Jun 2008	Spain	368
24 Jun 2009	Brazil	339
29 May 2010	Brazil Spain	4
2 Jun 2010	Brazil	1
3 Jun 2010	Spain	4
7 Jun 2010	Spain Brazil	1
8 Jun 2010	Spain	7
15 Jun 2010	Spain Brazil	1
16 Jun 2010	Brazil	16
2 Jul 2010	Netherlands	5
7 Jul 2010	Spain	1,089
30 Jun 2013	Brazil	45
14 Aug 2013	Spain	59
12 Oct 2013	Brazil	260
29 Jun 2014	Netherlands	5
4 Jul 2014	Germany	695
29 May 2016	Argentina	165
10 Nov 2016	Brazil	329
5 Oct 2017	Germany	36
10 Nov 2017	Brazil	2,385

Ranking by days as leader

Nation	Days^[b]	First Date as Leader	Last Date as Leader
England	10,605	30 November 1872	11 June 1988
Argentina	9,044	29 July 1908	9 November 2016
Brazil	10,659	12 June 1958	Current
Scotland	6,059	4 March 1876	19 Oct 1926
Germany ^[c]	4,631	25 July 1966	9 November 2017
Spain	2,771	28 August 1920	11 October 2013
Italy	2,694	7 June 1934	15 August 2006
Hungary	1,964	20 September 1952	12 March 1960
France	1,951	12 September 1984	10 July 2007
Uruguay	1,775	29 August 1920	15 June 1929
Soviet Union ^[d]	1,414	21 March 1963	24 June 1988
Netherlands	1,042	1 June 1978	3 July 2014
Denmark	676	5 June 1914	7 Oct 1916
Austria	11	27 May 1934	6 June 1934
Czech Republic	8	27 June 2004	7 June 2005

Elo all-time records

All-time highest ratings

The following is a list of national football teams ranked by their highest Elo score ever reached.^[8] The team in each confederation that has achieved the highest rank is shown in color.

Rank	Nation	Points (rank)	Date
21	Sweden	2012 (3rd)	2 Jun 1949
22	Yugoslavia ^[b]	2009 (3rd)	10 Jun 1962
23	Croatia	2005 (5th)	11 Jul 1998
24	East Germany	1993 (5th)	22 Jun 1974
25	Mexico	1986 (6th)	9 Jun 2016
26	Paraguay	1954 (5th)	21 Feb 1954
27	Romania	1946 (6th)	9 Jun 1990
28	Greece	1931 (7th)	18 Aug 2004
29	Switzerland	1930 (9th)	22 Jun 2018
30	Norway	1929 (8th)	13 Jun 2000
31	Republic of Ireland	1920 (8th)	18 Jun 1994
32	Peru	1916 (10th)	3 Jun 2018
33	Ecuador	1915 (12th)	17 Nov 2015
34	Wales	1905 (13th)	20 May 1981
35	Turkey	1899 (12th)	19 Jun 2003
36	Bulgaria	1896 (9th)	15 Jun 1969
36	Japan	1896 (10th)	15 Aug 2001
38	United States	1891 (11th)	3 Sep 2005
38	Egypt	1891 (12th)	25 Mar 1965
40	Australia ^[c]	1880 (12th)	14 Dec 1997

Rank	Nation	Points (rank)	Date
41	Algeria ^[d]	1875 (12th)	4 Jan 1963
42	Ghana	1872 (10th)	30 Oct 1966
43	Costa Rica	1868 (15th)	13 Nov 2014
43	Ivory Coast	1868 (15th)	26 Jan 2013
45	Cameroon	1852 (14th)	26 Jun 2003
46	Northern Ireland	1850 (17th)	23 Apr 1986
47	Ukraine	1846 (17th)	15 Nov 2013
48	North Korea	1844 (15th)	19 Jul 1966
48	South Korea	1844 (17th)	22 Jun 2002
50	Iceland	1841 (19th)	9 Oct 2017
51	Iran	1836 (18th)	12 Apr 2005
52	Nigeria	1828 (18th)	5 Jun 2004
53	Morocco	1823 (21st)	11 Mar 1976
54	South Africa ^[e]	1817 (10th)	9 Jul 1906
55	Senegal	1812 (21st)	16 Jun 2002
56	Bosnia and Herzegovina	1807 (21st)	7 Jun 2013
57	Venezuela	1806 (19th)	20 Jul 2011
58	Guinea	1799 (24th)	5 Jun 1977
59	Bolivia	1793 (21st)	25 Jun 1997
60	Honduras	1790 (25th)	5 Sep 2001

All-time highest ranking

The following is a list of national football teams ranked by their highest Elo ranking ever reached.^[8]

Rank	Nation	Peak rank (first, last year)	Highest rating
21	Colombia	3rd (2016)	2035
22	Serbia ^[g]	3rd (1962)	2009
23	Wales ^[h]	3rd (1876, 1902)	1905
24	East Germany	4th (1974, 1977)	1993
25	Mexico	4th (2016)	1986
26	Republic of Ireland ^[i]	4th (1882, 1902)	1920
27	Croatia	5th (1998)	2005
28	Paraguay	5th (1954)	1954
29	Romania	5th (1990)	1946
30	Greece	7th (2004)	1931
31	Bulgaria	7th (1969)	1896
32	Switzerland	8th (2018)	1930
33	Norway	8th (2000)	1929
34	Japan	8th (2001)	1896
35	South Africa	8th (1907, 1908)	1817
36	United States	9th (2009)	1891
37	Costa Rica	9th (1932, 1934)	1868
38	Peru	10th (2018)	1916
39	Turkey	10th (2002, 2003)	1899
40	Egypt	10th (1965)	1891

Rank	Nation	Peak rank (first, last year)	Highest rating
41	Algeria	10th (1959, 1960)	1875
42	Ghana	10th (1966, 1967)	1872
43	North Korea	10th (1969, 1970)	1844
44	Australia	11th (2001)	1880
45	Trinidad and Tobago ^[j]	11th (1905, 1906)	1672
46	Ecuador	12th (2013)	1915
47	Cameroon	14th (2003)	1852
48	Northern Ireland ^[i]	14th (1986)	1850
49	Finland	14th (1912)	1747
50	Ivory Coast	15th (2013)	1868
51	Ukraine	15th (2010)	1846
52	South Korea	15th (1948, 1953)	1844
53	Taiwan	15th (1954)	1764
54	Guyana ^[k]	15th (1905, 1906)	1512
55	Nigeria	16th (2004)	1828
56	Slovakia	17th (1939, 1941)	1776
57	Iceland	18th (2017)	1841
58	Iran	18th (2005)	1836
59	Morocco	18th (1999)	1823
60	Venezuela	19th (2011)	1806
61	DR Congo ^[l]	19th (1969, 1970)	1789

The biggest point gap

The biggest point gap between 1st and 2nd national team was between 14 march and 21 March 1885, when Scotland (at 2094) led by 205 points over 2nd ranked England (at 1889).^[9]

Average ratings

Time averaged Elo or Elo-like scores are routinely used to compare chess player strengths.^[10]^[11]^[12] The following is a list of the national teams with the highest average Elo score from 1 January 1970 to 1 January 2018. Before this time intercontinental play was fairly limited and many nations in Africa, North America, and Asia had played too few games yet to create a representative Elo score.

0 0 0 0 0 0 0 0

Highest average ratings since 1970

Rank	Country	Avg Elo
14	Mexico	1817.4
15	Romania	1817.2
16	Uruguay	1807.5
17	Belgium	1807.0
18	Poland	1804.5
19	Denmark	1800.9
20	Scotland	1771.2
21	Chile	1762.2
22	Ireland	1760.1
23	Paraguay	1752.6
24	Bulgaria	1737.0
25	Switzerland	1733.8
26	Austria	1727.0

Rank	Country	Avg Elo
27	Colombia	1723.5
28	Hungary	1720.7
29	Australia	1712.9
30	Wales	1694.6
31	Greece	1693.7
32	South Korea	1690.0
33	Iran	1684.7
34	Turkey	1680.2
35	Peru	1676.8
36	Nigeria	1674.4
37	Egypt	1671.1
38	Norway	1669.2
39	Israel	1667.0

Rank	Country	Avg Elo
40	United States	1649.0
41	Cameroon	1647.7
42	Morocco	1643.4
43	Northern Ireland	1642.3
44	Ivory Coast	1638.5
45	Costa Rica	1636.1
46	Ghana	1626.0
47	Ecuador	1623.5
48	Japan	1614.3
49	Tunisia	1610.0
50	Iraq	1603.6
51	China	1600.9
52	Honduras	1584.6

Averages by decade

The table below shows the teams with the best average Elo score per decade (Jan 1 XXX0 - Dec 31 XXX9).

1930s
Argentina	2040
Italy	2030
England	1964
Uruguay	1959
Scotland	1949
Austria	1944
Spain	1939
Brazil	1902
Czechoslovakia	1874
Hungary	1867
Costa Rica	1835
Germany	1819
Wales	1763
Paraguay	1742
United States	1735

1940s ^[s]
Argentina	2083
Italy	2061
England	1976
Scotland	1945
Brazil	1928
Spain	1926
Germany	1891
Uruguay	1885
Hungary	1881
Austria	1871
Wales	1844
Czechoslovakia	1834
Mexico	1803
Sweden	1797
Switzerland	1759

1950s
Hungary	2060
Argentina	2060
Brazil	2027
England	1982
West Germany	1924
Yugoslavia	1903
Uruguay	1881
Austria	1880
Italy	1871
Scotland	1869
Spain	1859
Sweden	1848
Paraguay	1822
France	1808
Czechoslovakia	1772

1960s
Brazil	2007
Soviet Union	1988
England	1975
Hungary	1971
Argentina	1955
West Germany	1934
Czechoslovakia	1911
Italy	1899
Spain	1890
Uruguay	1879
Yugoslavia	1867
Scotland	1853
Sweden	1835
Mexico	1819
Austria	1783

1980s
Brazil	2009
West Germany	2005
Soviet Union	1986
England	1967
Italy	1931
Argentina	1931
France	1928
Netherlands	1925
Spain	1888
Poland	1871
Belgium	1864
Czechoslovakia	1862
East Germany	1861
Yugoslavia	1860
Scotland	1824
Romania	1822
Denmark	1822
Austria	1817
Wales	1815
Sweden	1815

1990s
Brazil	2032
Germany	2026
Italy	1990
France	1969
Netherlands	1957
Spain	1941
FR Yugoslavia^[t]	1939
England	1937
Denmark	1911
Argentina	1896
Croatia	1890
Czechia ^[u]	1881
Russia ^[v]	1873
Sweden	1870
Romania	1858
Mexico	1853
Portugal	1843
Republic of Ireland	1819
Colombia	1813
Belgium	1808

2000s
Brazil	2021
France	2013
Netherlands	1999
Argentina	1988
Spain	1986
Italy	1971
England	1947
Germany	1920
Portugal	1917
Czechia	1908
Denmark	1870
Croatia	1868
Mexico	1845
Romania	1835
Sweden	1834
Republic of Ireland	1818
Turkey	1817
United States	1815
Uruguay	1804
Russia	1801

2010s ^[w]
Brazil	2071
Germany	2069
Spain	2063
Argentina	2005
Netherlands	1999
England	1940
Chile	1918
Portugal	1912
France	1905
Uruguay	1901
Italy	1900
Colombia	1892
Mexico	1876
Croatia	1859
Sweden	1817
Ecuador	1809
Switzerland	1807
Belgium	1798
Russia	1797
Ukraine	1786

Highest rated matches

A list of the 25 matches between teams with the highest combined Elo ratings (the nations' points before the matches are given).

Rank	Combined points	Nation 1	Elo 1	Nation 2	Elo 2	Score	Date	Occasion	Location
1	4287	Germany	2203	Argentina	2084	1–0 ^aet	2014-07-13	World Cup Final	Rio de Janeiro
1	4287	Germany	2223	Argentina	2064	2–4	2014-09-03	Friendly	Düsseldorf
3	4278	Hungary	2230	West Germany	2048	2–3	1954-07-04	World Cup Final	Bern
4	4263	Spain	2136	Netherlands	2127	1–0 ^aet	2010-07-11	World Cup Final	Johannesburg
5	4245	England	2184	Denmark	2061	4–2	1912-07-04	Olympic Games Final	Stockholm
6	4242	Brazil	2120	Germany	2122	1–7	2014-07-08	World Cup SF	Belo Horizonte
7	4238	West Germany	2114	Brazil	2124	0–1	1973-06-16	Friendly	Berlin
8	4236	Brazil	2086	Spain	2150	3–0	2013-06-30	Confederations Cup Final	Rio de Janeiro
9	4224	Hungary	2208	Uruguay	2016	4–2	1954-06-30	World Cup SF	Lausanne
10	4223	Germany	2104	Brazil	2119	0–1	2018-03-27	Friendly	Berlin
11	4218	Hungary	2180	Brazil	2038	4–2	1954-06-27	World Cup QF	Bern
12	4207	Netherlands	2077	Brazil	2130	2–1	2010-07-02	World Cup QF	Port Elizabeth
13	4200	Brazil	2083	Netherlands	2117	0–0	2011-06-04	Friendly	Goiânia
14	4199	Brazil	2088	West Germany	2111	1–0	1982-03-21	Friendly	Rio de Janeiro
15	4198	Brazil	2060	West Germany	2138	1–1	1977-06-12	Friendly	Rio de Janeiro
16	4197	West Germany	2123	Netherlands	2074	2–1	1974-07-07	World Cup Final	Munich
17	4191	Brazil	2166	Czechoslovakia	2025	3–1	1962-06-17	World Cup Final	Santiago
17	4191	West Germany	2135	Brazil	2056	0–1	1978-04-05	Friendly	Hamburg
19	4187	Brazil	2132	Italy	2055	4–1	1970-06-21	World Cup Final	Mexico City
20	4179	Spain	2110	Germany	2069	1–0	2010-07-07	World Cup SF	Durban
20	4179	Netherlands	2096	Argentina	2083	0–0	2014-07-09	World Cup SF	São Paulo
22	4177	Germany	2076	Brazil	2101	1–2	1998-03-25	Friendly	Stuttgart
23	4173	West Germany	2097	Netherlands	2076	1–1	1975-05-17	Friendly	Frankfurt
24	4172	West Germany	2104	Poland	2068	1–0	1974-07-03	World Cup 2nd round	Frankfurt
25	4168	England	2141	Denmark	2017	3–0	1911-10-21	Friendly	London

Biggest upsets

This is a list of matches with the biggest point exchange.^[13] Since the importance of the match, the goal differential and the perceived home team advantage are factored in the exchange, these are not necessarily the most surprising wins as expressed by the difference in Elo rating.^[x]
The nations' points before the matches are given.

Rank	Point exchange	Nation 1	Elo 1	Nation 2	Elo 2	Score	Date	Occasion	Location
1	98	Sweden	1676	Belgium	1845	8–1	1924-05-29	Olympic Games	Paris
2	92	Italy	1824	Spain	1991	7–1	1928-06-04	Olympic Games	Amsterdam
2	92	Turkey	1397	China *	1655	4–0	1948-08-02	Olympic Games	Walthamstow
4	87	Norway	1478	Great Britain	2041	3–1	1920-08-28	Olympic Games	Antwerp
5	84	Egypt *	1677	Hungary	1919	3–0	1924-05-29	Olympic Games	Paris
5	84	Czechoslovakia	1855	Argentina	2003	6–1	1958-06-15	World Cup	Helsingborg
7	83	Fiji	1171	New Zealand	1523	4–0	1980-02-23	OFC Nations Cup	Nouméa
8	82	Ghana	1606	Czech Republic	2005	2–0	2006-06-17	World Cup	Cologne
9	81	Brazil	2120	Germany	2122	1–7	2014-07-08	World Cup	Belo Horizonte
10	80	Germany	1642	Russia *	1567	16–0	1912-07-01	Olympic Games	Solna
		Turkey	1604	South Korea *	1668	7–0	1954-06-20	World Cup	Geneva
		Trinidad and Tobago	1481	Mexico	1783	4–0	1973-12-14	CONCACAF Championship	Port-au-Prince
		South Korea	1677	Germany	2044	2–0	2018-06-28	World Cup	Kazan
14	78	Paraguay	1685	Uruguay	2054	3–0	1929-11-01	Copa América	Buenos Aires
14	78	Chile	1587	Uruguay	1957	3–0	1937-01-10	Copa América	Buenos Aires
16	77	Uruguay	1813	Brazil	2162	3–0	1959-12-12	Copa América	Guayaquil
16	77	Croatia	1912	Germany	2090	3–0	1998-07-04	World Cup	Lyon
18	76	Germany	1906	Norway	1714	0–2	1936-08-07	Olympic Games	Berlin
		Costa Rica	1717	Guatemala	1491	1–4	1946-03-10	CCCF Championship	San José
		United States	1888	Mexico	1788	0–5	2009-07-26	CONCACAF Gold Cup	East Rutherford
21	75	Denmark	1759	Italy	2044	5–3	1948-08-05	Olympic Games	London
		Venezuela	1336	Bolivia	1646	3–0	1967-01-28	Copa América	Montevideo
		Netherlands	1986	Spain	2109	5–1	2014-06-13	World Cup	Salvador
24	74	Chile	1800	Brazil	2032	4–0	1987-07-03	Copa América	Córdoba
25	73	Montserrat	511	British Virgin Islands	758	7–0	2012-09-09	Caribbean Cup qualifier	Fort-de-France

*The initial ratings may be partially responsible for the high point exchange. The national teams of China, Egypt, Russia, and South Korea had played only 18, 3, 2, and 18 international matches before their respective upsets. China had only yet played against East Asian teams.

Elo Ratings before each World Championship

1908 Summer Olympics
Team	Ranking (18 Oct 1908)
England ^[14]	1 (2102)
~~Argentina~~	2 (2006)
~~Hungary~~	3 (1886)
Netherlands	4 (1883)}
~~Uruguay~~	5 (1877)
~~Austria~~	6 (1875)
~~Bohemia~~	7 (1867)
~~Scotland~~	8 (1835)
~~South Africa~~	9 (1817)
~~Belgium~~	10 (1775)
Sweden	11 (1698)
France	13 (1590)
Denmark	debut

1912 Summer Olympics
Team	Ranking (28 Jun 1912)
England ^[14]	1 (2155)
Denmark	2 (2009)
~~Argentina~~	3 (1962)
Netherlands	4 (1932)
~~Uruguay~~	5 (1929)
Hungary	6 (1886)
~~Scotland~~	7 (1873)
~~Bohemia~~	8 (1867)
Austria	9 (1855)
~~South Africa~~	10 (1794)
Sweden	12 (1707)
Germany	13 (1671)
Italy	14 (1649)
Russia	15 (1596)
Finland	17 (1571)
Norway	24 (1372)

1920 Summer Olympics
Team	Ranking (27 Aug 1920)
England ^[14]	1 (2041)
~~Uruguay~~	2 (2009)
~~Hungary~~	3 (1984)
Denmark	4 (1954)
~~Argentina~~	5 (1919)
Netherlands	6 (1910)
~~Brazil~~	7 (1906)
~~Scotland~~	8 (1874)
Czechoslovakia	9 (1867)
~~Austria~~	10 (1804)
Belgium	11 (1772)
Sweden	15 (1670)
Italy	18 (1624)
France	21 (1582)
Norway	25 (1484)
Luxembourg	29 (1298)
Spain	debut
Yugoslavia	debut
Egypt	debut
Greece	debut
~~Poland~~	debut

1924 Summer Olympics
Team	Ranking (24 May 1924)
Spain	1 (2017)
Uruguay	2 (2008)
~~Scotland~~	3 (1917)
~~Argentina~~	4 (1913)
Czechoslovakia	5 (1911)
Hungary	6 (1901)
~~England~~	7 (1882)
~~Brazil~~	8 (1871)
~~Denmark~~	9 (1851)
Belgium	10 (1845)
Netherlands	13 (1813)
United States	17 (1705)
Ireland	21 (1678)
Italy	21 (1678)
Sweden	23 (1680)
Egypt	24 (1675)
Switzerland	25 (1655)
Poland	30 (1594)
Romania	31 (1583)
Yugoslavia	32 (1577)
France	35 (1555)
Turkey	39 (1500)
Latvia	44 (1400)
Bulgaria	45 (1398)
Estonia	49 (1372)
Luxembourg	50 (1295)
Lithuania	51 (1090)

1928 Summer Olympics
Team	Ranking (26 May 1928)
Uruguay	1 (2017)
Argentina	2 (2006)
Spain	3 (1985)
~~Scotland~~	4 (1984)
~~Brazil~~	5 (1930)
~~Czechoslovakia~~	6 (1924)
~~Austria~~	7 (1883)
~~Denmark~~	8 (1860)
~~Hungary~~	9 (1852)
~~Sweden~~	10 (1828)
Italy	13 (1796)
Germany	16 (1737)
Netherlands	16 (1737)
United States	19 (1715)
Portugal	20 (1708)
Mexico	21 (1701)
Egypt	22 (1690)
Belgium	23 (1678)
Switzerland	24 (1677)
Yugoslavia	30 (1589)
France	34 (1550)
Chile	40 (1512)
Turkey	46 (1475)
Luxembourg	55 (1286)

1930 FIFA World Cup
Team	Ranking^[15] (12 July 1930)
Argentina	1 (2076)
~~Scotland~~	2 (2010)
Uruguay	3 (1972)
~~England~~	4 (1969)
~~Italy~~	5 (1965)
~~Austria~~	6 (1944)
Brazil	7 (1930)
~~Spain~~	8 (1925)
~~Czechoslovakia~~	9 (1898)
~~Denmark~~	10 (1848)
Paraguay	15 (1780)
United States	20 (1685)
Belgium	26 (1645)
Mexico	30 (1613)
Chile	32 (1577)
Yugoslavia	33 (1575)
Romania	35 (1566)
Peru	36 (1542)
France	40 (1523)
Bolivia	61 (1259)

1934 FIFA World Cup
Team	Ranking^[16] (26 May 1934)
Argentina	1 (2064)
Austria	2 (2047)
~~England~~	3 (1980)
~~Uruguay~~	4 (1976)
Italy	5 (1973)
Brazil	6 (1939)
Spain	7 (1934)
~~Scotland~~	8 (1869)
Czechoslovakia	9 (1845)
~~Costa Rica~~	10 (1843)
Hungary	11 (1829)
Germany	12 (1800)
United States	14 (1784)
Sweden	17 (1731)
Egypt	19 (1715)
Netherlands	21 (1701)
Romania	26 (1643)
France	30 (1615)
Switzerland	31 (1611)
Belgium	38 (1545)

1938 FIFA World Cup
Team	Ranking^[17] (3 June 1938)
~~Argentina~~	1 (2054)
Italy	2 (2051)
~~Scotland~~	3 (1978)
~~England~~	4 (1961)
~~Spain~~	5 (1945)
Hungary	6 (1920)
Brazil	7 (1908)
Austria	8 (1897)
~~Uruguay~~	9 (1862)
~~Wales~~	10 (1840)
Germany	11 (1836)
Czechoslovakia	13 (1802)
Norway	17 (1731)
Netherlands	19 (1708)
Switzerland	24 (1667)
Sweden	27 (1652)
Poland	30 (1633)
France	32 (1624)
Belgium	37 (1566)
Romania	38 (1559)
Cuba	41 (1546)
Dutch East Indies	46 (1467)

1950 FIFA World Cup
Team	Ranking^[18] (23 June 1950)
~~Argentina~~	1 (2078)
England	2 (2076)
Sweden	3 (1972)
Brazil	4 (1969)
Italy	5 (1965)
~~Scotland~~	6 (1941)
~~Hungary~~	7 (1933)
~~West Germany~~	8 (1907)
Spain	9 (1897)
Paraguay	10 (1877)
Mexico	12 (1825)
Yugoslavia	13 (1818)
Uruguay	18 (1736)
Switzerland	21 (1710)
France	24 (1693)
Chile	33 (1600)
India	37 (1587)
United States	40 (1580)
Bolivia	63 (1445)

1954 FIFA World Cup
Team	Ranking^[19] (15 June 1954)
Hungary	1 (2141)
~~Argentina~~	2 (2087)
Brazil	3 (2031)
England	4 (2017)
West Germany	5 (1938)
Yugoslavia	6 (1932)
~~Paraguay~~	7 (1928)
Scotland	8 (1891)
Italy	9 (1890)
Uruguay	10 (1875)
Austria	11 (1863)
Belgium	14 (1774)
France	15 (1766)
Czechoslovakia	17 (1748)
Mexico	24 (1693)
South Korea	26 (1678)
Switzerland	27 (1677)
Turkey	34 (1618)

1958 FIFA World Cup
Team	Ranking^[20] (7 June 1958)
Hungary	1 (2077)
Argentina	2 (2043)
England	3 (2010)
Brazil	4 (1974)
West Germany	5 (1913)
~~Uruguay~~	6 (1912)
Austria	7 (1900)
Yugoslavia	8 (1896)
Czechoslovakia	9 (1888)
Soviet Union	10 (1883)
France	13 (1835)
Scotland	14 (1824)
Sweden	17 (1800)
Mexico	20 (1778)
Paraguay	21 (1750)
Northern Ireland	26 (1731)
Wales	28 (1713)
~~South Korea~~	31 (1687)
~~United Arab Republic~~	39 (1623)

1962 FIFA World Cup
Team	Ranking^[21] (29 May 1962)
Brazil	1 (2102)
Soviet Union	2 (2036)
Argentina	3 (1979)
Czechoslovakia	4 (1975)
Yugoslavia	5 (1971)
Spain	6 (1961)
Hungary	7 (1951)
England	8 (1935)
Uruguay	9 (1904)
West Germany	10 (1894)
Italy	15 (1853)
Mexico	16 (1809)
Bulgaria	21 (1763)
Chile	23 (1739)
Switzerland	26 (1715)
~~South Korea~~	28 (1699)
~~Egypt~~	36 (1667)
Colombia	85 (1441)

1966 FIFA World Cup
Team	Ranking^[22] (10 July 1966)
Brazil	1 (2018)
Soviet Union	2 (2001)
England	3 (1991)
Italy	4 (1967)
Argentina	5 (1964)
Hungary	6 (1959)
West Germany	7 (1947)
~~Czechoslovakia~~	8 (1897)
Spain	9 (1892)
Mexico	10 (1866)
~~Ghana~~	11 (1864)
Uruguay	13 (1846)
North Korea	15 (1838)
Portugal	16 (1829)
Bulgaria	17 (1797)
France	23 (1754)
Chile	24 (1750)
~~Costa Rica~~	25 (1747)
~~Bolivia~~	32 (1694)
Switzerland	39 (1641)
~~Israel~~	57 (1537)

1970 FIFA World Cup
Team	Ranking^[23] (30 May 1970)
England	1 (2067)
Brazil	2 (2012)
Italy	3 (2005)
West Germany	4 (1991)
Soviet Union	5 (1977)
Czechoslovakia	6 (1959)
~~Hungary~~	7 (1914)
~~East Germany~~	8 (1889)
Uruguay	9 (1848)
Sweden	10 (1842)
Bulgaria	16 (1810)
Romania	19 (1793)
Belgium	22 (1772)
Peru	30 (1711)
Mexico	32 (1696)
Morocco	36 (1687)
~~Sudan~~	37 (1679)
Israel	39 (1671)
~~Iran~~	44 (1635)
El Salvador	66 (1535)

1974 FIFA World Cup
Team	Ranking^[24] (12 June 1974)
Brazil	1 (2116)
West Germany	2 (2109)
Italy	3 (1999)
~~England~~	4 (1967)
Poland	5 (1959)
East Germany	6 (1940)
Yugoslavia	7 (1934)
~~Hungary~~	8 (1905)
Argentina	9 (1894)
~~Soviet Union~~	10 (1891)
Sweden	11 (1883)
Netherlands	16 (1839)
Scotland	17 (1821)
Bulgaria	18 (1819)
Zaire	21 (1787)
Chile	23 (1780)
Uruguay	27 (1754)
Australia	32 (1693)
Haiti	46 (1609)
~~Iran~~	52 (1596)
~~New Zealand~~	80 (1447)

1978 FIFA World Cup
Team	Ranking^[25] (31 May 1978)
West Germany	1 (2096)
Netherlands	2 (2092)
Brazil	3 (2078)
~~England~~	4 (1996)
Spain	5 (1959)
~~East Germany~~	6 (1953)
Scotland	7 (1944)
Italy	8 (1935)
Poland	9 (1929)
Argentina	10 (1925)
Hungary	12 (1921)
~~Czechoslovakia~~	13 (1897)
France	14 (1881)
Austria	15 (1860)
Mexico	21 (1793)
Sweden	22 (1792)
Iran	24 (1773)
Peru	25 (1755)
~~Ghana~~	32 (1715)
Tunisia	34 (1680)
~~New Zealand~~	69 (1516)

1982 FIFA World Cup
Team	Ranking^[26] (12 June 1982)
West Germany	1 (2108)
Brazil	2 (2092)
Soviet Union	3 (2010)
Argentina	4 (2003)
England	5 (1963)
Poland	6 (1959)
Austria	7 (1917)
Yugoslavia	8 (1916)
Belgium	9 (1913)
~~East Germany~~	10 (1910)
Czechoslovakia	11 (1898)
Italy	13 (1892)
Spain	14 (1888)
France	15 (1879)
Scotland	17 (1837)
Hungary	18 (1799)
Peru	22 (1775)
Chile	23 (1771)
Northern Ireland	27 (1740)
~~Ghana~~	31 (1714)
~~Paraguay~~	34 (1688)
Cameroon	37 (1665)
Algeria	40 (1645)
Kuwait	42 (1632)
El Salvador	46 (1610)
Honduras	48 (1600)
New Zealand	48 (1600)

1986 FIFA World Cup
Team	Ranking^[27] (30 May 1986)
France	1 (1994)
England	2 (1990)
Soviet Union	3 (1941)
West Germany	4 (1939)
Brazil	5 (1914)
Spain	6 (1900)
Denmark	7 (1891)
Hungary	8 (1890)
Italy	9 (1883)
Scotland	10 (1874)
Argentina	12 (1872)
Northern Ireland	15 (1850)
Mexico	16 (1843)
Bulgaria	17 (1841)
Uruguay	19 (1831)
Belgium	21 (1823)
Paraguay	22 (1811)
Portugal	23 (1807)
Poland	24 (1805)
Canada	35 (1653)
~~Australia~~	36 (1646)
Morocco	37 (1645)
~~Egypt~~	41 (1640)
South Korea	44 (1624)
Iraq	47 (1616)
Algeria	48 (1615)
~~Saudi Arabia~~	72 (1528)

1990 FIFA World Cup
Team	Ranking^[28] (7 June 1990)
Netherlands	1 (2032)
West Germany	2 (1994)
Brazil	3 (1991)
Italy	4 (1965)
Sweden	5 (1954)
England	6 (1944)
Soviet Union	6 (1944)
Spain	8 (1926)
~~France~~	9 (1911)
Romania	10 (1895)
Yugoslavia	12 (1893)
Republic of Ireland	14 (1891)
Uruguay	15 (1890)
Czechoslovakia	18 (1855)
Belgium	19 (1845)
Colombia	20 (1799)
Argentina	21 (1794)
~~Algeria~~	23 (1781)
Austria	26 (1765)
South Korea	27 (1749)
Scotland	29 (1739)
~~Australia~~	36 (1678)
Egypt	40 (1642)
Cameroon	43 (1635)
Costa Rica	49 (1611)
United States	51 (1586)
United Arab Emirates	76 (1461)

1994 FIFA World Cup
Team	Ranking^[29] (16 June 1994)
Germany	1 (2009)
Netherlands	2 (1992)
Italy	3 (1986)
Brazil	4 (1963)
Colombia	5 (1942)
~~Yugoslavia~~	6 (1932)
~~France~~	7 (1930)
~~Denmark~~	8 (1923)
Argentina	9 (1915)
Sweden	10 (1907)
Spain	11 (1893)
Republic of Ireland	13 (1881)
Switzerland	14 (1873)
Russia	15 (1866)
Mexico	18 (1853)
Norway	19 (1852)
Romania	21 (1837)
Belgium	22 (1824)
Bulgaria	25 (1771)
Nigeria	28 (1742)
~~Australia~~	29 (1724)
Bolivia	31 (1701)
Greece	33 (1689)
Cameroon	35 (1684)
Morocco	37 (1672)
South Korea	41 (1665)
Saudi Arabia	45 (1640)
~~Japan~~	49 (1632)
United States	56 (1605)

1998 FIFA World Cup
Team	Ranking^[30] (9 June 1998)
Brazil	1 (2095)
Germany	2 (2060)
Spain	3 (2040)
France	4 (2003)
England	5 (1973)
Italy	6 (1970)
Yugoslavia	6 (1970)
Netherlands	8 (1961)
Norway	9 (1904)
Argentina	10 (1890)
Denmark	12 (1880)
Romania	13 (1877)
Croatia	15 (1871)
Mexico	17 (1846)
Belgium	19 (1820)
Bulgaria	20 (1806)
~~Australia~~	21 (1800)
Chile	22 (1779)
Scotland	23 (1777)
South Korea	24 (1767)
Colombia	25 (1762)
United States	26 (1760)
Paraguay	29 (1739)
Japan	30 (1737)
Morocco	32 (1729)
Austria	35 (1717)
~~Egypt~~	36 (1709)
Nigeria	37 (1707)
Jamaica	47 (1649)
Saudi Arabia	47 (1649)
Iran	49 (1647)
South Africa	50 (1643)
Tunisia	52 (1638)
Cameroon	59 (1598)

2002 FIFA World Cup
Team	Ranking^[31] (30 May 2002)
France	1 (2096)
Argentina	2 (2015)
~~Netherlands~~	3 (2010)
Italy	4 (2009)
Portugal	5 (1980)
Spain	6 (1963)
England	7 (1924)
Denmark	8 (1885)
Croatia	9 (1880)
Republic of Ireland	10 (1874)
Germany	12 (1870)
Brazil	13 (1867)
Sweden	14 (1864)
Japan	15 (1853)
Belgium	17 (1838)
Mexico	18 (1832)
~~Australia~~	19 (1829)
Uruguay	21 (1812)
United States	22 (1809)
Cameroon	23 (1808)
Russia	24 (1801)
Nigeria	26 (1769)
Costa Rica	28 (1757)
Turkey	28 (1757)
Slovenia	32 (1743)
South Korea	33 (1734)
Poland	35 (1733)
Paraguay	36 (1729)
Ecuador	37 (1726)
Saudi Arabia	38 (1706)
Senegal	40 (1702)
China	41 (1700)
South Africa	50 (1645)
Tunisia	52 (1626)

2006 FIFA World Cup
Team	Ranking^[32] (8 June 2006)
Brazil	1 (2034)
Netherlands	2 (1995)
England	3 (1973)
France	3 (1973)
Czech Republic	5 (1972)
Spain	6 (1964)
Italy	7 (1944)
Argentina	8 (1922)
Portugal	9 (1915)
Germany	10 (1897)
Sweden	12 (1861)
Croatia	15 (1838)
Mexico
United States
Poland	19 (1822)
Iran	20 (1813)
~~Greece~~	22 (1804)
Australia	23 (1802)
Serbia and Montenegro	24 (1799)
Switzerland	25 (1798)
Ukraine	26 (1790)
Japan	27 (1789)
Paraguay	30 (1779)
Ivory Coast	32 (1768)
~~Egypt~~	35 (1747)
South Korea	36 (1731)
Costa Rica	38 (1724)
Tunisia	43 (1708)
Ecuador	45 (1699)
Ghana	55 (1618)
Saudi Arabia	63 (1584)
Trinidad and Tobago	66 (1568)
Angola	68 (1565)
Togo	88 (1491)

2010 FIFA World Cup
Team	Ranking^[33] (10 June 2010)
Spain	1 (2112)
Brazil	2 (2110)
Netherlands	3 (2043)
England	4 (2001)
Germany	5 (1958)
Italy	6 (1937)
Argentina	7 (1920)
Mexico	8 (1900)
~~Croatia~~	9 (1894)
Chile	10 (1887)
Portugal	11 (1876)
France	12 (1861)
Uruguay	14 (1844)
Serbia	15 (1842)
~~Egypt~~	16 (1833)
United States	20 (1786)
Denmark	21 (1779)
Australia	22 (1777)
South Korea	24 (1766)
Paraguay	25 (1765)
Switzerland	26 (1761)
Ivory Coast	31 (1740)
Greece	32 (1737)
Honduras	36 (1716)
Nigeria	36 (1716)
Cameroon	40 (1697)
Ghana	41 (1688)
Slovenia	43 (1686)
Japan	44 (1681)
Slovakia	47 (1671)
South Africa	63 (1594)
~~Iraq~~	75 (1558)
Algeria	79 (1542)
North Korea	80 (1539)
New Zealand	82 (1531)

2014 FIFA World Cup
Team	Ranking ^[34] (11 June 2014)
Brazil	1 (2138)
Spain	2 (2109)
Germany	3 (2073)
Argentina	4 (2019)
Netherlands	5 (1986)
Portugal	6 (1943)
England	7 (1932)
Colombia	8 (1922)
Chile	9 (1920)
Uruguay	10 (1919)
France	11 (1897)
Italy	12 (1888)
United States	13 (1858)
Switzerland	14 (1856)
Belgium	15 (1853)
Russia	16 (1849)
Ecuador	18 (1837)
Greece	19 (1824)
Croatia	20 (1819)
Mexico	21 (1814)
Bosnia and Herzegovina	23 (1787)
Japan	24 (1786)
Ivory Coast	25 (1776)
Nigeria	30 (1724)
Iran	32 (1714)
Costa Rica	33 (1712)
Ghana	34 (1710)
Australia	37 (1709)
Honduras	46 (1670)
South Korea	47 (1668)
Algeria	54 (1628)
Cameroon	57 (1617)
~~Tahiti~~	153 (1226)

2018 FIFA World Cup
Team	Ranking (13 June 2018)
Brazil	1 (2142)
Germany	2 (2077)
Spain	3 (2044)
France	4 (1987)
Argentina	5 (1986)
Portugal	6 (1970)
England	7 (1948)
Belgium	8 (1939)
Colombia	9 (1928)
Peru	10 (1915)
Uruguay	12 (1894)
Switzerland	14 (1890)
~~Chile~~	15 (1869)
Denmark	16 (1856)
Croatia	17 (1853)
Mexico	18 (1850)
Poland	19 (1831)
Sweden	20 (1795)
Iran	21 (1789)
Serbia	22 (1777)
Iceland	24 (1764)
~~United States~~	24 (1764)
Senegal	27 (1750)
Costa Rica	32 (1744)
Australia	33 (1742)
Morocco	36 (1733)
South Korea	40 (1714)
Japan	43 (1684)
Nigeria	44 (1681)
Russia	45 (1678)
Panama	48 (1659)
Tunisia	49 (1657)
Egypt	50 (1646)
~~Cameroon~~	52 (1645)
Saudi Arabia	63 (1591)
~~New Zealand~~	81 (1503)

History

The Elo system, developed by Hungarian-American mathematician Dr. Árpád Élő, is used by FIDE, the international chess federation, to rate chess players, and by the European Go Federation, to rate Go players. In 1997 Bob Runyan adapted the Elo rating system to international football and posted the results on the Internet. He was also the first maintainer of the World Football Elo Ratings web site, now maintained by Kirill Bulygin.

Overview

The Elo system was adapted for football by adding a weighting for the kind of match, an adjustment for the home team advantage, and an adjustment for goal difference in the match result.

The factors taken into consideration when calculating a team's new rating are:

The team's old rating
The considered weight of the tournament
The goal difference of the match
The result of the match
The expected result of the match

The different weights of competitions in descending order are:

World Cup Finals
Continental championships finals and Intercontinental tournaments
World Cup and Continental championship qualifiers
All other tournaments
Friendly matches

These ratings take into account all international "A" matches for which results could be found. Ratings tend to converge on a team's true strength relative to its competitors after about 30 matches. Ratings for teams with fewer than 30 matches should be considered provisional.

Basic calculation principles

The basic principle behind the Elo ratings is only in its simplest form similar to that of a league; unlike the FIFA rankings, who effectively run their table as a normal league table but with weightings to take into account the other factors, the Elo system has its one formula which takes into account the factors mentioned above. There is no first step as in the FIFA system where a team immediately receives points for the result, there is just one calculation in the Elo system.

The ratings are based on the following formulae:

$R_{n}=R_{o}+KG(W-W_{e})$

or

$P=KG(W-W_{e})$

Where;


$R_{n}$	= The new team rating
$R_{o}$	= 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
$W_{e}$	= The expected result
$P$	= Points Change

The number of 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 given in the table below:

Tournament or Match type	Index (K)
World Cup, Olympic Games (1908-1980)	60
Continental Championship and Intercontinental Tournaments	50
World Cup and Continental qualifiers and major tournaments	40
All other tournaments	30
Friendly matches	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={\frac {3}{2}}

If the game is won by three or more goals

Where N is the goal difference

G={\frac {11+N}{8}}

Table of examples:

Goal Difference	Coefficient of K (G)
0	1
+1	1
+2	1.5
+3	1.75
+4	1.875
+5	2
+6	2.125
+7	2.25
+8	2.375
+9	2.5
+10	2.625

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

W_e is the expected result (win expectancy with a draw counting as 0.5) from the following formula:

W_{e}={\frac {1}{10^{-dr/400}+1}}

where dr equals the difference in ratings (add 100 points for the home team). 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.

Examples

The same examples have been used on the FIFA World Rankings for a fair comparison. Some actual examples should help to make the methods of calculation clear. In this instance it is assumed that three teams of different strengths are involved in a small friendly tournament on neutral territory.

Before the tournament the three teams have the following point totals.

Team	Points
A	630
B	500
C	480

Thus, team A is by some distance the highest ranked of the three:The following table shows the points allocations based on three possible outcomes of the match between the strongest team A, and the somewhat weaker team B:

Example 1

Team A versus Team B (Team A stronger than Team B)

	Team A	Team B	Team A	Team B	Team A	Team B
Score	3 : 1		1 : 3		2 : 2
$K$	20	20	20	20	20	20
$G$	1.5	1.5	1.5	1.5	1	1
$W$	1	0	0	1	0.5	0.5
$W_{e}$	0.679	0.321	0.679	0.321	0.679	0.321
Total (P)	+9.63	-9.63	-20.37	+20.37	-3.58	+3.58

Example 2

Team B versus Team C (both teams approximately the same strength)

When the difference in strength between the two teams is less, so also will be the difference in points allocation. The following table illustrates how the points would be divided following the same results as above, but with two roughly equally ranked teams, B and C, being involved:

	Team B	Team C	Team B	Team C	Team B	Team C
Score	3–1		1–3		2–2
$K$	20	20	20	20	20	20
$G$	1.5	1.5	1.5	1.5	1	1
$W$	1	0	0	1	0.5	0.5
$W_{e}$	0.529	0.471	0.529	0.471	0.529	0.471
Total (P)	+14.13	-14.13	-15.87	+15.87	-0.58	+0.58

Note that Team B drops more ranking points by losing to Team C, which is approximately the same strength, than by losing to Team A, which is considerably better than Team B.

Elo ratings in unaffiliated football teams

American national teams not affiliated to FIFA
Nation	Points	highest rating
Aymará
Cascadia
Falkland Islands
Greenland	946	1035
Guadeloupe	1243	1532
Martinique	1439	1565
Quebec
Saint Barthélemy	730	730
Saint Martin	842	1066
Sint Maarten	868	973
Saint Pierre and Miquelon	677	698

Asian national teams not affiliated to FIFA
Nation	Points	highest rating
Arameans Suryoye
Artsakh
Chagos Islands
Kurdistan Region
Northern Cyprus	1456	1486
Panjab
South Ossetia
Tamil Eelam
Tibet	630	691
United Koreans of Japan
Western Armenia

European national teams not affiliated to FIFA
Nation	Points	highest rating
Abkhazia
Åland
Aromanians
Basque Country	1880	1892
Brittany
Carinthia
Catalonia	1856	1885
Corsica
County of Nice
Donetsk PR
Délvidék
Felvidék
Frøya
Galicia	1709	1715
Gotland
Guernsey
Hitra
Isle of Man
Isle of Wight
Jersey
Kárpátalja
Luhansk PR
Menorca
Monaco	903	909
North Frisians
Occitania
Padania
Provence
Raetia
Romani people
Saare County
Sápmi
Sardinia
Schleswig-Holstein
Sealand
Shetland
Silesia	1512	1520
Sorbs
Székely Land
South Tyrol
Vatican City	692	705
Western Isles
Ynys Môn
Estimated Elo is marked in italic

Oceanian national teams not affiliated to FIFA
Nation	Points	highest rating
Kiribati	545	599
Nauru
Niue	594	600
Wallis and Futuna	701	734

Notes

References

External links

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