Editing ICC Men's Test Team Rankings (section)

== Calculations ==

===Qualifying matches===
Matches that qualify are those played as part of a series consisting of at least two Tests.

===Time period===
{{ICC rankings time period}}

===Find the points earned from a series===
Each time two teams complete another series, the rankings tables is updated as described below, based on the ratings of the teams immediately before they played.<ref>{{cite web|url=http://www.espncricinfo.com/ci-icc/content/story/874363.html |title=Understanding the ICC rankings system |publisher=[[ESPNcricinfo]]|date=12 May 2015 |access-date=5 January 2016}}</ref><ref>{{cite web|url=http://www.cimt.plymouth.ac.uk/resources/topical/test_championship/test_championship.htm|title=World Championship for Test Cricket|access-date=5 January 2016|url-status=dead|archive-url=https://web.archive.org/web/20141027060001/http://www.cimt.plymouth.ac.uk/resources/topical/test_championship/test_championship.htm|archive-date=27 October 2014}}</ref>

====Step 1. Find the series points for each team====

* Award 1 point to a team for each match won.
* Award {{sfrac|1|2}} point to a team for each match drawn or tied.
* Award 1 bonus point to the team winning the series.
* Award {{sfrac|1|2}} bonus point to each team if the series is drawn.

====Step 2. Convert these series points to actual ratings points====

'''If the gap between the ratings of the two teams before the series was less than 40 points'''

The ratings points for each team equals:

<!--<div style="background: white; border: 1px solid rgb(153, 153, 153); padding: 2px;">-->
<div style="background: white; border: 2px solid rgb(0, 255, 0); padding: 2px;">
{|
|-
|''(The team's own series points) x (The opponent's rating + 50) <math>+</math> (The opponent's series points) x (The opponent's rating − 50)''
|}
</div>

As each match won earns a team 1 series point and their opponent 0, losing earns them 0 series points and their opponent 1, and drawing earns both teams {{sfrac|1|2}} series point, each match played therefore earns teams ratings points as follows:
{| class="wikitable"
|-
! style="background: #BFB6A3;"| Single match result
! style="background: #BFB6A3;"| Ratings points earned
|-
| Win || Opponent's rating + 50
|-
| Draw or tie || Opponent's rating 
|-
| Lose || Opponent's rating − 50
|}

As this formula only applies when the gap between the ratings of the two teams at the start of the series was less than 40 points, winning a match will always earn a team more rating points than the rating they already had, and losing a match will always earn a team fewer rating points than the rating they already had. Drawing a match will earn the weaker team more rating points than the rating they already had, and the stronger team fewer.

The difference between winning and losing a single match is therefore 100 points. Also, whether the outcome of a match is a win & lose or a draw, the total rating points earned by the two teams from that match will be the sum of the two teams' ratings before the series began. The total rating points earned from a series will therefore equal the sum of the two teams' ratings before the series began multiplied by (the number of matches + 1).

'''If the gap between the ratings of the two teams before the series was at least 40 points'''

The ratings points for the stronger team equals:

<!--<div style="background: white; border: 1px solid rgb(153, 153, 153); padding: 2px;">-->
<div style="background: white; border: 2px solid rgb(0, 255, 0); padding: 2px;">
{|
|-
|''(The team's own series points) x (The team's own rating + 10) <math>+</math> (The opponent's series points) x (The team's own rating − 90)''
|}
</div>

and the ratings points for the weaker team equals:

<!--<div style="background: white; border: 1px solid rgb(153, 153, 153); padding: 2px;">-->
<div style="background: white; border: 2px solid rgb(0, 255, 0); padding: 2px;">
{|
|-
|''(The team's own series points) x (The team's own rating + 90) <math>+</math> (The opponent's series points) x (The team's own rating − 10).''
|}
</div>

As above, each match played therefore earns teams ratings points as follows:
{| class="wikitable"
|-
! style="background: #BFB6A3;"| Single match result
! style="background: #BFB6A3;"| Ratings points earned
|-
| Stronger team wins || Own rating + 10
|-
| Weaker team loses || Own rating − 10
|-
| style="border-width:4px 1px 1px 1px;border-style:solid;border-color:pale grey" | Stronger team draws or ties || style="border-width:4px 1px 1px 1px;border-style:solid;border-color:pale grey" | Own rating − 40
|-
| Weaker team draws or ties || Own rating + 40
|-
| style="border-width:4px 1px 1px 1px;border-style:solid;border-color:pale grey" | Stronger team loses || style="border-width:4px 1px 1px 1px;border-style:solid;border-color:pale grey" | Own rating − 90
|-
| Weaker team wins || Own rating + 90
|}

Therefore, again, winning a match will always earn a team more rating points than the rating they already had, and losing a match will always earn a team fewer rating points than the rating they already had. Drawing a match will earn the weaker team more points than the rating they already had, and the stronger team fewer.

For both teams, the difference between winning and losing a single match is still 100 points. Also, whichever of the three outcomes happens, the total rating points earned by the two teams from that match will be the sum of the two teams' ratings before the series began.

===Update the ranking table===

For each team:
*Add the ratings points scored to their total ratings points already scored (in previous matches).
*Update the number of matches played by adding the number of Series points available. This is one more than the number of games in the series, as there is an additional point available for the series winner (a two Test match series will result in the match count getting incremented by three).
*Divide the new rating points total by the updated number of matches to get the updated Rating.

===Example===

Suppose two teams, initially with ratings of 120 and 90, play a 3-match series, and the team with the higher initial rating wins 2–1:

{| class="wikitable" style="float: center; margin: 1em 1em 1em 1em; text-align:center;"
|-
! width="50" style="background: #ffdead;" rowspan="2" | Team
! colspan="3" style="background: #ffdead;" | Ratings before the series
! colspan="4" style="background: #ffdead;" | The series
! colspan="3" style="background: #ffdead;" | Ratings after the series
|-
| width="60" | '''Matches''' || width="60" | '''Points''' || width="60" | '''Rating''' || width="60" | '''Matches won''' || width="60" | '''Matches drawn''' || width="60" | '''Series points''' || width="200" | '''Ratings points''' || width="60" | '''Matches''' || width="60" | '''Points''' || width="60" | '''Rating'''
|-
| A || 30 || 3600 || style="background: #ACE1AF;" | 120 || 2 || 0 || 3 || 3x(90+50) + 1x(90–50) = 460 || 30+3+1=34 || 3600+460=4060 || style="background: #ACE1AF;" | 119.4
|-
| B || 36 || 3240 || style="background: #ACE1AF;" | 90 || 1 || 0 || 1 || 1x(120+50) + 3x(120–50) = 380 || 36+3+1=40 || 3240+380=3620 || style="background: #ACE1AF;" | 90.5
|}

*The total Ratings points available from the series (460+380=840) is the same as the initial ratings of the teams multiplied by the number of Series points available ((120+90)x4=840).
*The two teams' total ratings is almost exactly the same after the series (119.4+90.5=209.9) as before the series (120+90=210). The series has therefore not generated any extra ratings, but has just redistributed the ratings the two teams already had. When these ratings are published in the official table in their [[rounding|rounded]] form (119 and 91), the total ratings after the series will be exactly the same as before the series. There is therefore no points 'inflation' in this system, which means that comparisons of ratings over time are meaningful.<ref>{{cite web |url=http://www.icc-cricket.com/team-rankings/test |title=FAQs on ICC Test Team Rankings |publisher=Qn2, ICC |access-date=18 January 2016 |archive-date=29 October 2016 |archive-url=https://web.archive.org/web/20161029160858/http://www.icc-cricket.com/team-rankings/test |url-status=dead }}</ref>
*Despite winning the series, Team A's rating has reduced, and despite losing the series, Team B's rating has increased. If Team A had won the series 3–0 then its rating would have increased to 122.4.