“Draft:World Ice Hockey Elo Ratings”的意思、由来-开放百科全书

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Draft:World Ice Hockey Elo Ratings

释义

Ratings
List of number one teams
Ranking by days as leader
Elo all-time records
All-time highest ratings All-time highest ranking
History and overview
Basic calculation principles
Status of match Number of goals Result of match Expected result of match Examples for clarification Example 1 Example 2
References

{{AFC submission|t||ts=20180821213115|u=AaronWikia|ns=118|demo=}}{{Incomplete list|date=November 2018}}{{For|the association football ranking system|World Football Elo Ratings}}

The World Ice Hockey Elo Ratings is a ranking system for men's national ice hockey teams that is published by the website eloratings.net. It is based on the Elo rating system but includes modifications to take various ice hockey-specific variables into account, like the margin of victory, importance of a match, and home ice advantage. Other implementations of the Elo rating system are possible and there is no single nor any official Elo ranking for ice hockey teams. The IIHF World Ranking, not based on the Elo method, is the official national teams rating system used by the international governing body of ice hockey and is therefore more prevalent.

Ratings

The following table shows the teams in the World Ice Hockey Elo Ratings as they were on 6 April 2019, using data from the World Ice Hockey Elo Ratings web site.^[1]

Each national team's IIHF World Ranking is shown as per the latest release on 24 May 2018.^[2]

Championship	Division I A	Division I B	Division II A	Division II B	Division III	Division III Qualification

Elo Rank	1 Year Change	Team	Elo Rating	IIHF Rank
1	{{steady}}	{{ih\|RUS}}	2544	3
2	{{increase}} 1	{{ih\|SWE}}	2503	2
3	{{decrease}} 1	{{ih\|CAN}}	2488	1
4	{{increase}} 1	{{ih\|FIN}}	2483	5
5	{{decrease}} 1	{{ih\|CZE\|name=Czechia}}	2467	6
6	{{steady}}	{{ih\|USA}}	2450	4
7	{{increase}} 1	{{ih\|SUI}}	2393	7
8	{{increase}} 1	{{ih\|SVK}}	2238	10
9	{{decrease}} 2	{{ih\|GER}}	2187	8
10	{{increase}} 1	{{ih\|LAT}}	2156	11
11	{{increase}} 2	{{ih\|DEN}}	2108	12
12	{{steady}}	{{ih\|NOR}}	2090	9
13	{{increase}} 2	{{ih\|KAZ}}	2056	18
14	{{decrease}} 4	{{ih\|BLR}}	1992	14
15	{{increase}} 2	{{ih\|AUT}}	1984	17
16	{{steady}}	{{ih\|FRA}}	1970	13
17	{{decrease}} 3	{{ih\|SLO}}	1941	15
18	{{increase}} 4	{{ih\|ITA}}	1804	19
19	{{increase}} 2	{{ih\|GBR}}	1772	22
20	{{decrease}} 2	{{ih\|HUN}}	1749	20
21	{{decrease}} 2	{{ih\|KOR}}	1713	16
22	{{decrease}} 2	{{ih\|POL}}	1682	21
23	{{steady}}	{{ih\|JPN}}	1618	23
24	{{increase}} 1	{{ih\|LTU}}	1595	25
25	{{decrease}} 1	{{ih\|UKR}}	1430	24
26	{{steady}}	{{ih\|EST}}	1397	26
27	{{increase}} 2	{{ih\|ROM}}	1348	29

Elo Rank	1 Year Change	Team	Elo Rating	IIHF Rank
28	{{steady}}	{{ih\|NED}}	1335	28
29	{{decrease}} 2	{{ih\|CRO}}	1278	27
30	{{steady}}	{{ih\|AUS}}	1165	36
31	{{steady}}	{{ih\|SRB}}	1155	30
32	{{increase}} 2	{{ih\|ESP}}	1118	31
33	{{decrease}} 1	{{ih\|TKM}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	1093	49
34	{{increase}} 5	{{ih\|COL}}{{efn\|Colombia is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only 22 matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	1076	—
35	{{increase}} 5	{{ih\|NZL}}	1069	39
36	{{decrease}} 1	{{ih\|KGZ}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	1039	—
37	{{decrease}} 1	{{ih\|CHN}}	1014	33
38	{{decrease}} 5	{{ih\|BEL}}	969	37
39	{{increase}} 3	{{ih\|ISR}}	965	34
40	{{increase}} 7	{{flaglink\|Mongolia\|national ice hockey team}}	920	—
41	{{increase}} 4	{{ih\|PHI}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	900	—
42	{{increase}} 4	{{ih\|LIB}}{{efn\|Lebanon is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only four matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	868	—
43	{{decrease}} 5	{{ih\|ISL}}	862	32
44	{{increase}} 8	{{ih\|GEO}}	854	40
45	{{increase}} 10	{{ih\|BUL}}	844	38
46	{{decrease}} 9	{{ih\|MEX}}	817	35
46	{{increase}} 2	{{ih\|MAR}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	817	—
48	{{decrease}} 7	{{ih\|LUX}}	802	42
49	{{increase}} 1	{{ih\|IRI}}{{efn\|Iran is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only four matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	787	—
50	{{increase}} 4	{{ih\|TUR}}	785	43
51	{{increase}} 7	{{ih\|MKD\|name=North Macedonia}}{{efn\|Officially known as the Republic of Macedonia until 12 February 2019, Macedonia change its name to the Republic of North Macedonia.}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	770	—
52	{{decrease}} 9	{{ih\|THA}}	767	—
53	{{decrease}} 9	{{ih\|TPE}}{{efn\|Commonly known as Taiwan.}}	764	46
54	{{decrease}} 5	{{ih\|PRK}}	750	41

Elo Rank	1 Year Change	Team	Elo Rating	IIHF Rank
55	{{increase}} 6	{{ih\|ARG}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	747	—
56	{{steady}}	{{flaglink\|Egypt\|national ice hockey team}}{{efn\|Egypt is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only two matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	698	—
57	{{increase}} 3	{{ih\|POR}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	695	—
58	{{decrease}} 1	{{flaglink\|Haiti\|national ice hockey team}}{{efn\|Haiti is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only one match against other Elo-ranked team, so their Elo Rating is provisional.}}	689	—
59	{{decrease}} 8	{{ih\|RSA}}	685	44
60	{{increase}} 6	{{ih\|UAE}}	675	47
61	{{decrease}} 2	{{ih\|KSA}}{{efn\|Saudi Arabia is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only three matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	673	—
62	{{increase}} 1	{{ih\|LIE}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	653	—
63	New	{{ih\|VEN}}{{efn\|Venezuela is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only five matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	643	—
64	{{decrease}} 11	{{ih\|BRA}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	623	—
65	{{decrease}} 1	{{ih\|ALG}}{{efn\|Algeria is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only eight matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	611	—
66	{{increase}} 1	{{ih\|ARM}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|Armenia was suspended by the IIHF in April 2010, for use of ineligible players on their national team that participate in the 2010 IIHF World Championship Division III Group B. Also, they have played only 19 matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	585	—
67	{{increase}} 3	{{ih\|HKG}}	563	45
68	{{decrease}} 7	{{ih\|MAS}}{{efn\|name=associate-member\|IIHF associate member.}}	562	—
69	{{decrease}} 1	{{ih\|IRL}}	558	—
70	{{increase}} 1	{{ih\|CHI}}{{efn\|Chile is an IIHF affiliate member that only participate in the IIHF Inline Hockey World Championship.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	524	—
71	{{increase}} 1	{{ih\|SGP}}{{efn\|name=associate-member\|IIHF associate member.}}	523	—
72	{{decrease}} 8	{{ih\|AND}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	522	—
73	{{increase}} 1	{{ih\|QAT}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	454	—
74	{{increase}} 2	{{ih\|BIH\|name=Bosnia & Herzegovina}}{{efn\|Bosnia & Herzegovina is ranked much lower in the IIHF Ranking because they were inactive from 2012 to 2014 due to their inactivity in any IIHF World Championships from 2009 to 2014. While this caused their IIHF Ranking to fall dramatically under the former system, their Elo Rating remained the same.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	453	48
75	{{decrease}} 2	{{ih\|INA}}{{efn\|name=associate-member\|IIHF associate member.}}{{efn\|name=fewer-than-30\|Haven't played 30 matches against other Elo-ranked teams, so Elo Rating is provisional.}}	448	—
76	{{decrease}} 1	{{ih\|GRE}}{{efn\|name=associate-member\|IIHF associate member.}}	444	—
77	{{decrease}} 7	{{ih\|MAC}}{{efn\|name=associate-member\|IIHF associate member.}}	422	—
78	{{decrease}} 9	{{ih\|KUW}}	408	50
79	{{decrease}} 2	{{ih\|OMA}}{{efn\|name=associate-member\|IIHF associate member.}}	390	—
80	{{decrease}} 2	{{ih\|BHR}}{{efn\|Bahrain is not a member of the IIHF and is not included in the IIHF Rankings. Also, they have played only 16 matches against other Elo-ranked teams, so their Elo Rating is provisional.}}	330	—
81	{{decrease}} 2	{{ih\|IND}}	277	—

List of number one teams

The following is the list of nations who have achieved the number one position in the World Ice Hockey Elo Ratings since 1910.^[3]

Start date	Nation	# of days
10 Jan 1910	ENG}} {{efn\|name=match\|Number one position reached at / after first match.}}	401
15 Feb 1911	Bohemia}} Bohemia {{efn\|name=match\|Number one position reached at / after first match.}}	402
23 Mar 1912	GER\|1866}}	309
26 Jan 1913	Bohemia}} Bohemia	2,645
24 Apr 1920	CAN\|1868}} {{efn\|name=match\|Number one position reached at / after first match.}}	13,069
4 Feb 1956	URS\|1955}}	395
5 Mar 1957	CAN\|1921}} {{ih\|URS\|1955}}	262
22 Nov 1957	CAN\|1957}}	65
26 Jan 1958	URS\|1955}}	18
13 Feb 1958	CAN\|1957}}	1,858
17 Mar 1963	URS\|1955}}	3,481
26 Sep 1972	TCH}}	83
18 Dec 1972	TCH}} {{ih\|URS\|1955}}	3
21 Dec 1972	URS\|1955}}	820
21 Mar 1975	TCH}}	18
8 Apr 1975	URS\|1955}}	379
21 Apr 1976	TCH}}	147
15 Sep 1976	CAN}}	207
10 Apr 1977	URS\|1955}}	252
18 Dec 1977	TCH}}	125
22 Apr 1978	URS\|1955}}	14
6 May 1978	TCH}}	4
10 May 1978	URS\|1955}}	4,875
14 Sep 1991	CAN}} {{ih\|URS}}	2
16 Sep 1991	CAN}}	58
13 Nov 1991	CAN}} {{ih\|URS}}	2
15 Nov 1991	URS}}	81
4 Feb 1992	CAN}}	14
18 Feb 1992	CIS}} CIS {{efn\|The CIS competed at the 1992 Winter Olympics as part of the Unified Team.}}	417
10 Apr 1993	CZE\|name=Czechia}} {{ih\|RUS\|1991}}	1
11 Apr 1993	RUS\|1991}}	7
18 Apr 1993	CZE\|name=Czechia}}	200
4 Nov 1993	RUS\|1991}}	42
16 Dec 1993	CZE\|name=Czechia}}	1
17 Dec 1993	RUS\|1991}}	2
19 Dec 1993	CZE\|name=Czechia}}	1
20 Dec 1993	RUS\|1991}}	45
3 Feb 1994	CZE\|name=Czechia}}	9
12 Feb 1994	RUS}}	2
14 Feb 1994	CZE\|name=Czechia}}	9
23 Feb 1994	FIN}}	2
25 Feb 1994	SWE}}	1
26 Feb 1994	FIN}}	64
21 Apr 1994	SWE}}	6
27 Apr 1994	FIN}}	193
6 Nov 1994	SWE}}	180
5 May 1995	FIN}}	332

Start date	Nation	# of days
1 Apr 1996	SWE}}	15
16 Apr 1996	FIN}}	7
23 Apr 1996	CZE\|name=Czechia}}	1
24 Apr 1996	FIN}}	6
30 Apr 1996	CZE\|name=Czechia}}	119
27 Aug 1996	FIN}}	2
29 Aug 1996	SWE}}	16
14 Sep 1996	USA}}	96
19 Dec 1996	SWE}}	47
4 Feb 1997	USA}}	2
6 Feb 1997	SWE}}	1
7 Feb 1997	FIN}}	79
27 Apr 1997	SWE}}	123
28 Aug 1997	FIN}}	3
31 Aug 1997	CZE\|name=Czechia}}	67
6 Nov 1997	FIN}}	3
9 Nov 1997	SWE}}	32
11 Dec 1997	CZE\|name=Czechia}}	1
12 Dec 1997	SWE}}	9
21 Dec 1997	CZE\|name=Czechia}}	140
10 May 1998	SWE}}	367
12 May 1999	CZE\|name=Czechia}}	3
15 May 1999	SWE}}	110
2 Sep 1999	FIN}}	3
5 Sep 1999	CZE\|name=Czechia}}	67
11 Nov 1999	FIN}}	89
8 Feb 2000	CZE\|name=Czechia}}	1
9 Feb 2000	FIN}}	2
11 Feb 2000	CZE\|name=Czechia}}	2
13 Feb 2000	FIN}}	79
2 May 2000	CZE\|name=Czechia}}	194
12 Nov 2000	FIN}}	364
11 Nov 2001	SWE}}	39
20 Dec 2001	CZE\|name=Czechia}}	69
17 Feb 2002	SWE}}	74
2 May 2002	CAN}}	5
7 May 2002	SWE}}	187
10 Nov 2002	FIN}}	91
9 Feb 2003	RUS}}	55
5 Apr 2003	FIN}}	24
29 Apr 2003	CAN}}	6
5 May 2003	CZE\|name=Czechia}}	3
8 May 2003	CAN}}	738
15 May 2005	CZE\|name=Czechia}}	122
4 Sep 2005	RUS}}	65
8 Nov 2005	CAN}}	39
17 Dec 2005	RUS}}	69
24 Feb 2006	FIN}}	41
6 Apr 2006	SWE}}	24
29 Apr 2006	FIN}}	10
9 May 2006	RUS}}	12
21 May 2006	SWE}}	102
31 Aug 2006	RUS}} {{ih\|SWE}}	2
2 Sep 2006	SWE}}	1
3 Sep 2006	RUS}}	230
21 Apr 2007	SWE}}	16
7 May 2007	RUS}}	1,091

Start date	Nation	# of days
2 May 2010	CAN}} {{ih\|RUS}}	7
9 May 2010	RUS}}	336
10 Apr 2011	SWE}}	5
15 Apr 2011	RUS}}	1
16 Apr 2011	SWE}}	5
21 Apr 2011	RUS}}	8
29 Apr 2011	SWE}}	1
30 Apr 2011	RUS}}	4
4 May 2011	SWE}}	1
5 May 2011	RUS}}	1
6 May 2011	SWE}}	3
9 May 2011	CZE\|name=Czechia}}	4
13 May 2011	SWE}}	2
15 May 2011	FIN}}	179
10 Nov 2011	CZE\|name=Czechia}}	2
12 Nov 2011	FIN}}	33
15 Dec 2011	RUS}}	2
17 Dec 2011	SWE}}	1
18 Dec 2011	CZE\|name=Czechia}}	55
11 Feb 2012	SWE}}	67
18 Apr 2012	CZE\|name=Czechia}}	10
28 Apr 2012	FIN}}	13
11 May 2012	CAN}}	2
13 May 2012	RUS}}	362
10 May 2013	CAN}}	114
1 Sep 2013	FIN}}	70
10 Nov 2013	CAN}}	42
22 Dec 2013	FIN}}	53
13 Feb 2014	CAN}}	1
14 Feb 2014	FIN}}	5
19 Feb 2014	CAN}}	263
9 Nov 2014	RUS}}	90
7 Feb 2015	RUS}} {{ih\|SWE}}	1
8 Feb 2015	RUS}}	57
6 Apr 2015	CAN}}	4
10 Apr 2015	RUS}}	6
16 Apr 2015	CAN}}	975
16 Dec 2017	RUS}}	58
12 Feb 2018	CAN}}	11
23 Feb 2018	IOC}} OAR {{efn\|The Russian Olympic Committee was disqualified by the International Olympic Committee (IOC) for doping, but they were allowed to participate at the 2018 Winter Olympics as the Olympic Athletes from Russia (OAR).}}	43
7 Apr 2018	CAN}} {{ih\|RUS}}	7
14 Apr 2018	RUS}}	5
19 Apr 2018	CAN}}	23
12 May 2018	FIN}}	1
13 May 2018	CAN}}	2
15 May 2018	SWE}}	2
17 May 2018	CAN}}	2
19 May 2018	SWE}}	209
15 Dec 2018	RUS}}	112

Ranking by days as leader

Nation	Days spent as co-leaders are counted as a ½ day.	First date as leader	Last date as leader
CAN}}	17,778	24 April 1920	18 May 2018
RUS}} {{efn\|Combined record of the Soviet Union (1951–1991), the CIS (1992), and Russia (1993–present) national ice hockey teams.}}	13,736	4 February 1956	current
CZE\|name=Czechia}} {{efn\|Combined record of Bohemia (1910–1914), Czechoslovakia (1920–1992), and the Czech Republic (1993–present) national ice hockey teams.}}	4,508	15 February 1911	27 April 2012
FIN}}	1,748	23 February 1994	12 May 2018
SWE}}	1,649	25 February 1994	14 December 2018
GBR}} {{efn\|So far, only England (1910–1911) has reached the number one position, but any future efforts by Great Britain (1912–present) will be included.^[4]}}	401	10 January 1910	14 February 1911
GER}}	309	23 March 1912	25 January 1913
USA}}	98	14 September 1996	5 February 1997

Elo all-time records

All-time highest ratings

The following is a list of national ice hockey teams ranked by their highest Elo score ever reached.^[5] The team in each division that has achieved the highest rank is shown in color.

Rank	Nation	Points (rank)	Date
1	URS}} {{efn\|at present as Russia}}	3009 (1st)	10 Apr 1984
2	TCH}} {{efn\|at present as Czechia}}	2795 (2nd)	12 May 1978
3	CAN\|1957}}	2774 (1st)	14 Mar 1959
4	SWE}}	2665 (1st)	10 Feb 1999
5	FIN}}	2637 (2nd)	21 May 2016
6	USA}}	2577 (3rd)	15 Feb 1992
7	SVK}}	2504 (3rd)	21 Feb 2006
8	SUI}}	2485 (2nd)	18 May 2013
9	GER}}	2349 (5th)	25 Apr 1993
10	NOR}}	2325 (8th)	5 May 2013
11	GBR}}	2319 (2nd)	5 Feb 1939
12	LAT}}	2293 (6th)	17 Apr 1999
13	BLR}}	2258 (8th)	8 Apr 2011
14	ITA\|1946}}	2182 (8th)	3 Apr 1997
15	{{ih\|DEN}}	2155 (10th)	12 May 2018
15	{{ih\|SLO}}	2155 (10th)	6 May 2017
17	POL\|1928}}	2146 (8th)	13 Mar 1974
18	KAZ}}	2121 (9th)	10 Feb 1998
19	FRA}}	2106 (9th)	28 Apr 1995
20	UKR}}	2093 (11th)	7 Nov 1998
21	AUT}}	2085 (13th)	14 Nov 2010
22	BEL}}	2035 (2nd)	26 Jan 1913
23	ROM\|1965}}	1948 (8th)	12 Nov 1967
24	HUN}}	1906 (17th)	5 Nov 2016
25	EST}}	1890 (8th)	17 Feb 1938

All-time highest ranking

The following is a list of national ice hockey teams ranked by their highest Elo ranking ever reached.^[5]

Rank	Nation	Peak rank (first, last year)	Highest rating
1	RUS}} {{efn\|as the Soviet Union}}	1st (1956, 2018)	3009
2	CZE\|name=Czechia}} {{efn\|as Czechoslovakia}}	1st (1911, 2012)	2795
3	CAN}}	1st (1920, 2018)	2774
4	SWE}}	1st (1994, 2018)	2665
5	FIN}}	1st (1994, 2018)	2637
6	USA}}	1st (1996, 1997)	2577
7	GER}}	1st (1912, 1913)	2349
8	GBR}} {{efn\|as England}}	1st (1910, 1911)	2319
9	SUI}}	2nd (2013)	2485
10	BEL}}	2nd (1913, 1914)	2035
11	SVK}}	3rd (2003, 2006)	2504
12	FRA}}	4th (1912, 1913)	2106
13	AUT}}	4th (1932, 1934)	2085
14	POL}}	5th (1929)	2146
15	NOR}}	6th (1962)	2325
16	LAT}}	6th (1998, 1999)	2293
17	BLR}}	7th (2010, 2011)	2258
18	ITA}}	7th (1957, 1958)	2182
19	ROM}}	8th (1967)	1948
20	EST}}	8th (1938)	1890
21	DEN}}	9th (2010)	2155
22	KAZ}}	9th (1992, 1993)	2121
23	UKR}}	9th (1993)	2093
24	HUN}}	9th (1936)	1906
25	SLO}}	10th (2017)	2155

History and overview

The Elo system, developed by Hungarian-American mathematician 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 ice hockey and posted the results on the Internet. He was also the first maintainer of the World Ice Hockey Elo Ratings web site, currently maintained by Kirill Bulygin. Other implementations of the Elo rating system are possible but the Runyan system is the best known.

The Elo system was adapted for ice hockey 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:

Olympic finals
World and Continental Championship finals and major Intercontinental tournaments
Olympic, World Championship, and Continental qualifiers and major tournaments
All other tournaments
Friendly matches

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.^[6] Ratings for teams with fewer than 30 matches are 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 IIHF 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 IIHF 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:

Where;


	= The new team rating
	= The old team rating
	= Weight index regarding the tournament of the match
	= A number from the index of goal differences
	= The result of the match
	= The expected result
	= 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)
Olympic finals	60
World and Continental Championship finals and major Intercontinental tournaments	50
Olympic, World Championship, 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

If the game is won by two goals

If the game is won by three or more goals

Where N is the goal difference

Table of examples:

|1
Goal Difference	Coefficient of K (G)
0	1

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:

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 for clarification

The same examples have been used on the IIHF World Ranking 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
	20	20	20	20	20	20
	1.5	1.5	1.5	1.5	1	1
	1	0	0	1	0.5	0.5
	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
	20	20	20	20	20	20
	1.5	1.5	1.5	1.5	1	1
	1	0	0	1	0.5	0.5
	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.

References

1. ^{{cite web|url=http://www.eloratings.net/icehockey/|title=World Ice Hockey Elo Ratings|publisher=Eloratings.net|accessdate=15 July 2018}}
2. ^{{cite web|url=http://www.iihf.com/home-of-hockey/championships/world-ranking/mens-world-ranking/2018-ranking-may/|title=IIHF World Ranking|accessdate=24 May 2018|publisher=International Ice Hockey Federation|archive-url=https://web.archive.org/web/20180521094002/http://www.iihf.com/home-of-hockey/championships/world-ranking/mens-world-ranking/2018-ranking-may/|archive-date=21 May 2018|dead-url=yes}}
3. ^Graph of rankings at eloratings.net. Yearly graphs, like this one for 2019, give enough resolution.
4. ^{{cite web|url=https://www.icehockeyuk.co.uk/about-ice-hockey/|title=ABOUT ICE HOCKEY|accessdate=13 November 2018|publisher=IceHockeyUK.co.uk}}
5. ^¹World Ice Hockey Elo Ratings; under the columns tab choose "Highest Rank / Rating"
6. ^{{cite web|url=http://www.eloratings.net/icehockey/about|title=The World Ice Hockey Elo Rating System|publisher=Eloratings.net|accessdate=15 July 2018}}

{{IIHF}}{{Sport world rankings}}Category:Ice hockey-related listsCategory:Rating systems

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