Table 3. Comparing different ranking methods for the 2010 Vancouver Winter Olympics.
| Medal Count | Rankings** | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Country | Gold | Silver | Bronze | FPC | IC | GF | TOTAL | MEAN | SA |
| Canada | 14 | 7 | 5 | 3 | 1 | 1 | 3 | 2 | 2 |
| Germany | 10 | 13 | 7 | 2 | 3 | 2 | 2 | 3 | 3 |
| United States | 9 | 15 | 13 | 1 | 2 | 3 | 1 | 1 | 1 |
| Norway | 9 | 8 | 6 | 4 | 4 | 4 | 4 | 4 | 4 |
| South Korea | 6 | 6 | 2 | 7 | 5 | 5 | 7 | 5 | 5 |
| Switzerland | 6 | 0 | 3 | 11 | 7 | 6 | 11 | 9 | 8 |
| China | 5 | 2 | 4 | 9 | 8 | 7 | 8 | 7 | 9 |
| Sweden | 5 | 2 | 4 | 9 | 8 | 7 | 8 | 7 | 9 |
| Austria | 4 | 6 | 6 | 5 | 6 | 9 | 5 | 6 | 6 |
| Netherlands | 4 | 1 | 3 | 12 | 11 | 10 | 12 | 11 | 11 |
| Russia | 3 | 5 | 7 | 6 | 10 | 11 | 6 | 9 | 7 |
| France | 2 | 3 | 6 | 8 | 12 | 12 | 8 | 12 | 12 |
| Australia | 2 | 1 | 0 | 22 | 15 | 13 | 18 | 15 | 15 |
| Czech Republic* | 2 | 0 | 4 | 14 | 13 | 14 | 13 | 13 | 13 |
| Poland | 1 | 3 | 2 | 13 | 14 | 15 | 13 | 13 | 14 |
| Italy | 1 | 1 | 3 | 17 | 16 | 16 | 15 | 16 | 16 |
| Belarus | 1 | 1 | 1 | 20 | 17 | 17 | 18 | 18 | 18 |
| Slovakia* | 1 | 1 | 1 | 20 | 17 | 17 | 18 | 18 | 18 |
| Great Britain | 1 | 0 | 0 | 26 | 20 | 19 | 24 | 23 | 23 |
| Japan | 0 | 3 | 2 | 15 | 19 | 20 | 15 | 17 | 17 |
| Croatia* | 0 | 2 | 1 | 18 | 22 | 21 | 18 | 21 | 21 |
| Slovenia* | 0 | 2 | 1 | 18 | 22 | 21 | 18 | 21 | 21 |
| Latvia | 0 | 2 | 0 | 23 | 24 | 23 | 23 | 24 | 24 |
| Finland | 0 | 1 | 4 | 16 | 21 | 24 | 15 | 20 | 20 |
| Estonia | 0 | 1 | 0 | 24 | 25 | 25 | 24 | 25 | 25 |
| Kazakhstan | 0 | 1 | 0 | 24 | 25 | 25 | 24 | 25 | 25 |
*Czechoslovakia became two independent states in 1993, Czech Republic and Slovakia, which competed in the 2010 Vancouver Winter Olympics as two independent countries. Yugoslavia was dissolved in 1992 and broke off into seven different countries, including Croatia and Slovenia, which competed in the 2010 Vancouver Winter Olympics as independent countries.
**FPC is our principal components ranking as developed in this paper using Equation (2); IC is the ranking based on the so-called in-center scores as developed by Sitarz [16]; GF is the lexicographic ranking based on the gold first principle; TOTAL is the ranking based on the total number of medals won; MEAN is the ranking of weighted mean value as proposed by Sitarz [15]; and SA is the ranking based on volume-based sensitivity analysis as proposed by Sitarz [15] as well.