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FIVB Senior World Rankings - Wikipedia

️Sun Dec 18 2022

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The FIVB Senior World Rankings is a ranking system for men's and women's national teams in volleyball. The teams of the member nations of Fédération Internationale de Volleyball (FIVB), volleyball's world governing body, are ranked based on their game results with the most successful teams being ranked highest. A points system is used, with points being awarded based on the results of all FIVB-recognised full international matches. The rankings are used in international competitions to define the seeded teams and arrange them in pools. Specific procedures for seeding and pooling are established by the FIVB in each competition's formula, but the method usually employed is the serpentine system.

The ranking system has been revamped in 2020, responding to criticism that the preceding calculation method did not effectively reflect the relative strengths of the national teams. The old version of the ranking system was finally used on 31 January 2020.

As of 23 July 2023, the highest ranked team in the men's category is Poland, while in the women's category is Turkey.

Previous calculation method

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The system of point attribution for the selected FIVB World and Official Competitions below is as follows:^[1]

Olympic Games and qualifying tournaments: included for 4 years and points are also granted for the qualification matches, to the best non-qualified teams.
World Championship and qualifying tournaments: included for 4 years and points are also granted for the qualification matches, to the best non-qualified teams.
World Cup: included for 4 years
World Grand Prix: included for 1 year
World League: included for 1 year

Current calculation method

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In 2019, FIVB collaborated with Hypercube Business Innovation of the Netherlands to design a new world ranking platform. The previous calculation method had a problem of circularity in the international volleyball calendar: only countries who participate in the major volleyball events can earn ranking points, whilst the number of ranking points of countries also determines seeding and access of teams for major events. This unfair principle does not contribute to the sporting and commercial quality of volleyball.^[2]

On 1 February 2020, the new ranking system will be implemented and will take into account all results from 1 January 2019.^[3] The system will be consistently updated to reflect the latest results and performances. The new World Ranking considers the match results from all official competitions:

Olympic Games and qualifying tournaments
FIVB World Championship
FIVB World Cup
FIVB Nations League and Challenger Cup
Confederations' Championship and qualifying tournaments
Other annual official events organized by Continental Confederations.

The rankings outcome of each match depends on two main factors:

The playing strength of the teams competing
The actual match performance or final result of the match

It is based on the zero-sum system, like CONCACAF Ranking Index or FIFA World ranking, where, after each game, points will be added to or subtracted from a team's rating according to the formula:^[4]

$S_{\text{after}}=S_{\text{before}}+{K(R-E) \over 8}$

where:

Expected match result

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The expected results is then calculated as $E=R_{1}P_{1}+R_{2}P_{2}+R_{3}P_{3}+R_{4}P_{4}+R_{5}P_{5}+R_{6}P_{6}$ where $P_{n}$ is the probability of the outcome $R_{n}$ obtained using the following model (known as Ordered probit):

Team A win 3–0

$P_{\text{1}}=\Phi (C_{\text{1}}+\Delta )$

Team A win 3–1

$P_{\text{2}}=\Phi (C_{\text{2}}+\Delta )-\Phi (C_{\text{1}}+\Delta )$

Team A win 3–2

$P_{\text{3}}=\Phi (C_{\text{3}}+\Delta )-\Phi (C_{\text{2}}+\Delta )$

Team A lose 2–3

$P_{\text{4}}=\Phi (C_{\text{4}}+\Delta )-\Phi (C_{\text{3}}+\Delta )$

Team A lose 1–3

$P_{\text{5}}=\Phi (C_{\text{5}}+\Delta )-\Phi (C_{\text{4}}+\Delta )$

Team A lose 0–3

$P_{\text{6}}=1-\Phi (C_{\text{5}}+\Delta )$

where $\Phi (z)$ is the Cumulative distribution function of the Normal distribution, and $C_{1},\ldots ,C_{5}$ are the cut-points

$C_{1}=-1.06$
$C_{2}=-0.394$
$C_{3}=0$
$C_{4}=0.394$
$C_{5}=1.06$

set so that $P_{n}$ is the probability of the outcome $n$ between two equal strength opponents (that is when $\Delta =0$ ), which is derived from the actual match results of the past decade.

The cut-points in the normal distribution based on head-to-head between two equal strength teams, i.e $\Delta =0$ .

{\displaystyle \Delta =0} — The cut-points in the normal distribution based on head-to-head between two equal strength teams, i.e $\Delta =0$ .

The cut-points in the normal distribution based on head-to-head between two teams after considering a strength difference, i.e $\Delta >0$ .

The parameter $\Delta$ represents the scaled difference of the teams rankings

$\Delta ={8(S_{\text{teamA}}-S_{\text{teamB}}) \over 1000}$

where:

Before the match at the FIVB Volleyball World Championship (K = 45), Brazil (Team A) is ranked number 1 with a 415 WR score and Japan (Team B) is ranked number 11 with a 192 WR score.

Strength difference between Brazil and Japan

$\Delta ={8(415-192) \over 1000}=1.784$

Expected match result

$P_{1}=\Phi (-1.060+1.784)$
$P_{2}=\Phi (-0.364+1.784)-\Phi (-1.060+1.784)$
$P_{3}=\Phi (0.000+1.784)-\Phi (-0.364+1.784)$
$P_{4}=\Phi (0.364+1.784)-\Phi (0.000+1.784)$
$P_{5}=\Phi (1.060+1.784)-\Phi (0.364+1.784)$
$P_{6}=1-\Phi (1.060+1.784)$

Expected match result for Brazil:

$E=76.5\%(+2)+15.2\%(+1.5)+4.5\%(+1)+2.2\%(-1)+1.2\%(-1.5)+0.2\%(-2)=+1.76$

Expected match result for Japan:

$E=0.2\%(+2)+1.2\%(+1.5)+2.2\%(+1)+4.5\%(-1)+15.2\%(-1.5)+76.5\%(-2)=-1.76$

World Ranking scores after Brazil win 3–0

World Ranking scores for Brazil:

$S_{\text{after}}={\text{415}}+{45(2-1.76) \over 8}=416.35$

World Ranking scores for Japan:

$S_{\text{after}}={\text{192}}+{45(-2+1.76) \over 8}=190.65$

World Ranking scores after Brazil win 3–1

World Ranking scores for Brazil:

$S_{\text{after}}={\text{415}}+{45(1.5-1.76) \over 8}=413.54$

World Ranking scores for Japan:

$S_{\text{after}}={\text{192}}+{45(-1.5+1.76) \over 8}=193.46$

World Ranking scores after Brazil win 3–2

World Ranking scores for Brazil:

$S_{\text{after}}={\text{415}}+{45(1-1.76) \over 8}=410.73$

World Ranking scores for Japan:

$S_{\text{after}}={\text{192}}+{45(-1+1.76) \over 8}=196.27$

World Ranking scores after Brazil lose 0–3

World Ranking scores for Brazil:

$S_{\text{after}}={\text{415}}+{45(-2-1.76) \over 8}=393.85$

World Ranking scores for Japan:

$S_{\text{after}}={\text{192}}+{45(2+1.76) \over 8}=213.15$

World Ranking scores after Brazil lose 1–3

World Ranking scores for Brazil:

$S_{\text{after}}={\text{415}}+{45(-1.5-1.76) \over 8}=396.66$

World Ranking scores for Japan:

$S_{\text{after}}={\text{192}}+{45(1.5+1.76) \over 8}=210.34$

World Ranking scores after Brazil lose 2–3

World Ranking scores for Brazil:

$S_{\text{after}}={\text{415}}+{45(-1-1.76) \over 8}=399.48$

World Ranking scores for Japan:

$S_{\text{after}}={\text{192}}+{45(1+1.76) \over 8}=207.52$

World and Continental Rankings

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The five Continental Rankings filter the World Ranking points won and lost in matches played between teams from the same Continental Confederation.

Intercontinental Tournaments – calculated in World Rankings, but some matches can be calculated in Continental Rankings
- Olympic Games final and intercontinental qualification tournaments
- FIVB World Championship final and intercontinental qualification tournaments
- FIVB World Cup
- FIVB Volleyball Nations League and Challenger Cup
- some Continental Cups: Pan-America
- some FIVB recognised international events, e.g. Pan American Games, Montreux Volley Masters

Continental Tournaments – calculated in World and Continental Rankings
- Olympic Games continental qualification tournaments
- FIVB World Championship continental qualification tournaments
- FIVB Challenger Cup qualification tournaments
- Continental Championships: Asia (AVC), Africa (CAVB), Europe (CEV), North America (NORCECA), and South America (CSV)
- some Continental Cups: Asia (both AVC Cup and Challenge Cup)
- Zonal Championships, e.g. Eastern Asia, ASEAN, Central America
- some FIVB recognised international events, e.g. African Games, Asian Games, European Games

Examples

Japan (Asian Volleyball Confederation) vs Italy (Confédération Européenne de Volleyball)
The points calculated in FIVB World Rankings.

Japan (Asian Volleyball Confederation) vs South Korea (Asian Volleyball Confederation)
The points calculated in FIVB World Rankings, and AVC Continental Rankings.

FIVB World Rankings

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Historic men's leaders

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For historical men's FIVB rankings from October 2005 to present.^[7]

Historic women's leaders

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For historical women's FIVB rankings from September 2005 to present.^[8]

Notes and references

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^ "FIVB World Ranking system". FIVB. Retrieved 21 December 2019.
^ "Ranking FIVB (2019)". Hypercube. Retrieved 1 February 2020.
^ "FIVB to introduce new World Ranking system for 2020". FIVB. Retrieved 21 December 2019.
^ "HOW IT WORKS" (PDF). FIVB. Retrieved 14 January 2021.
^ "The FIVB World Ranking". FIVB. 8 January 2025. Retrieved 8 January 2025.
^ "The FIVB Women's World Ranking". FIVB. 8 January 2025. Retrieved 8 January 2025.
^ "Tableau Public". public.tableau.com.
^ "Tableau Public". public.tableau.com.

Fédération Internationale de Volleyball (FIVB). "FIVB World Rankings". Retrieved 2022-12-18.