# जागतिक फुटबॉल एलो गुणांकन

गुणवत्ता क्रमांक The World Football Elo Ratings (Elo is pronounced E-L-O despite not being an acronym) is a ranking system for men's national teams in football. The method used to rank teams is based upon the Elo rating system method but modified to take various football-specific variables into account. Elo should not be confused with the more prevalent FIFA World Rankings, which is the rating system used by FIFA, the international governing body of football.

The 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.

The FIFA Women's World Rankings uses a simplified version of the Elo formula. The FIFA men's ranking, however, uses a non-Elo formula.

## Top 40 ranking

Current table, as of September 12, 2007, of the World Football Elo rankings, compiled by the World Football Elo Ratings web site based on data provided by Advanced Satellite Consulting.

Legend:      AFC (Asia)      CAF (Africa)      CONCACAF (North America)      CONMEBOL (South America)      OFC (Oceania)      UEFA (Europe)

Elo rank Nation Points FIFA rank
ब्राझिल २०७१
फ्रान्स २००२
आर्जेन्टिना १९९७
जर्मनी १९९२
इटली १९८८
नेदरलँड्स १९६७
इंग्लंड १९२९
स्पेन १८९०
मेक्सिको १८८७ १३
१०  क्रोएशिया १८७९ १०
११  रोमेनिया १८७७ १२
१२  पोर्तुगाल १८५५
१३  चेक प्रजासत्ताक १८४४ ११
१४  डेन्मार्क १८३२ २८
१५  स्वित्झर्लंड १८०६ ४२
१६  उरुग्वे १७९६ १९
१७  स्वीडन १७९५ २०
१८  तुर्कस्तान १७९४ २१
१९  कोलंबिया १७७८ २४
२०  स्कॉटलंड १७६७ १४
Elo rank Nation Points FIFA rank
२०  इराण १७६७ ४०
२२  कोत द'ईवोआर १७६५ २८
२३  ग्रीस १७६१ १५
२४  युक्रेन १७५६ १७
२५  रशिया १७५४ २६
२६  आयर्लंडचे प्रजासत्ताक १७५३ ३२
२७  पोलंड १७५० १६
२८  पेराग्वे १७४८ ३१
२९  घाना १७४७ ४५
३०  नॉर्वे १७४१ २९
३१  जपान १७३७ ३४
३२  नायजेरिया १७३६ २३
३३  कामेरून १७२८ २५
३३  अमेरिका १७२८ १८
३३  चिली १७२८ ४७
३६  बल्गेरिया १७१९ ३५
३७  सर्बिया १७१८ २२
३८  ऑस्ट्रेलिया १७०३ ४८
३९  इजिप्त १६९८ ४३
४०  सौदी अरेबिया १६९४ ५१

## Top 10 since 1970

The following is a list of the national teams with the highest average Elo score from Jan 1, 1970 to Oct 1, 2007. For a top 50, and top 20 lists per decade since the 1950s, see Strongest Football Nations by Elo Ratings

Rank Country Average Elo rating
ब्राझिल २००४.३
जर्मनी[१] १९७२.३
इटली १९२६.१
इंग्लंड १९२१.९
नेदरलँड्स १९०९.४
आर्जेन्टिना १८९३.२
फ्रान्स १८८६.५
स्पेन १८८०.४
सोव्हियेत संघ[२] १८५७.६
१०  चेकोस्लोव्हाकिया[३] १८४४.७

1. Germany was also called "West Germany" from १९४९-१९९०
2. Includes the record of Russia
3. Includes the record of the Czech Republic

## List of number one teams

Start Date Nation # of days
जानेवारी १, २०००  ब्राझिल १७८
जून २८, २०००  फ्रान्स ७०८
जून ०६, २००२  आर्जेन्टिना
जून ०७, २००२  फ्रान्स
जून ११, २००२  नेदरलँड्स
जून १२, २००२  स्पेन
जून १६, २००२  नेदरलँड्स
जून २१, २००२  ब्राझिल ३५१
जून ०७, २००३  नेदरलँड्स
जून ११, २००३  ब्राझिल
जून १९, २००३  नेदरलँड्स ८३
सप्टेंबर १०, २००३  फ्रान्स २९१
जून २७, २००४  चेक प्रजासत्ताक
जुलै ०१, २००४  फ्रान्स १०
जुलै ११, २००४  ब्राझिल
जुलै १४, २००४  फ्रान्स ३५
ऑगस्ट १८, २००४  आर्जेन्टिना २९०
जून ०४, २००५  चेक प्रजासत्ताक
जून ०८, २००५  आर्जेन्टिना २१
जून २९, २००५  ब्राझिल १०२
ऑक्टोबर ०९, २००५  नेदरलँड्स
ऑक्टोबर १२, २००५  ब्राझिल २६५
जुलै ०४, २००६  इटली ४३
ऑगस्ट १६, २००६  फ्रान्स ५२
ऑक्टोबर ०७, २००६  ब्राझिल १२२
फेब्रुवारी ०६, २००७  फ्रान्स
फेब्रुवारी ०७, २००७  ब्राझिल १४०
जून २७, २००७  फ्रान्स १४
जुलै ११, २००७  आर्जेन्टिना
जुलै १५, २००७  ब्राझिल -

Complete list since 1872: see World Football Elo Ratings leaders.

## Ranking by Days as Leader since जानेवारी १, २०००

Nation # of days Last Date as Leader
ब्राझिल ११६९ [१] Current
फ्रान्स १११५ १० जुलै २००७
आर्जेन्टिना ३१६ १४ जुलै २००७
नेदरलँड्स ९६ ९ ऑक्टोबर २००५
इटली ४३ १५ ऑगस्ट २००६
चेक प्रजासत्ताक ७ जून २००५
स्पेन १५ जून २००२
1. Does not include current period as rankings leader

## History

This system, developed by Hungarian mathematician Dr. Árpád Élő, is used by FIDE, the international chess federation, to rate chess players. In 1997 Bob Runyan adapted the Elo rating system to international football and posted the results on the महाजाल. He was also the first maintainer of the World Football Elo Ratings web site.

## 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;

A large difference here is that FIFA ranks the Confederations Cup third highest while the Elo system ranks it fifth (treating Continental and World Cup qualifiers separately for the purposes of comparison, because FIFA does)

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. Match data are primarily from International Football 1872 - Present web site.

## 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 tables 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 formulas:

$R_n = R_o + K G (W - W_e)$

or

$P = K G (W - W_e)$

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

### Status of match

The status of the match is incorporated by the use of a weight constant. The weight is a constant regarding the "weight" or importance of a match, defined by which tournament the match is in, they are as follows;

Tournament or Match type Index (K)
World Cup Finals 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. G is increased by half if a game is won by two goals, and if the game is won by three or more goals by a number decided through the appropriate calculation shown below;

If the game 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).

### Expected result of match

We 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 plus 100 points for a team playing at home. 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)

 Score $K$ $G$ $W$ $W_e$ Total (P) Team A Team B Team A Team B Team A Team B 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 +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:

 Score $K$ $G$ $W$ $W_e$ Total (P) Team B Team C Team B Team C Team B Team C 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 +14.13 -14.13 -15.87 +15.87 -0.58 +0.58

Note that Team B loses more ranking points by losing to Team C than by losing to Team A.