The IIHF World Ranking is a ranking of the performance of the national ice hockey teams of member countries of the International Ice Hockey Federation (IIHF). It is based on a formula giving points for each team's placings at IIHF-sanctioned tournaments over the previous four years. The ranking is used to determine seedings and qualification requirements for future IIHF tournaments. As of 2015, the current leader in rankings is Canada in both men's and women's play.
The system was approved at the IIHF congress of September 2003. According to IIHF President René Fasel, the system was designed to be simple to understand and "reflect the long-term quality of all national hockey programs and their commitment to international hockey."
The world ranking is based on the final positions of the last four Ice Hockey World Championships and last Olympic ice hockey tournament. Points are assigned according to a team's final placement in the World Championship or the Olympic tournament. The world champion receives 1200 points and then a 20-point interval is used between teams. However, a 40-point interval is used between gold and silver, silver and bronze, fourth and fifth, and eighth and ninth. This is used as a bonus for the teams who reach the quarter-finals, the semi-finals, the final and for winning the gold medal.
A ranking is a relationship between a set of items such that, for any two items, the first is either 'ranked higher than', 'ranked lower than' or 'ranked equal to' the second. In mathematics, this is known as a weak order or total preorder of objects. It is not necessarily a total order of objects because two different objects can have the same ranking. The rankings themselves are totally ordered. For example, materials are totally preordered by hardness, while degrees of hardness are totally ordered.
By reducing detailed measures to a sequence of ordinal numbers, rankings make it possible to evaluate complex information according to certain criteria. Thus, for example, an Internet search engine may rank the pages it finds according to an estimation of their relevance, making it possible for the user quickly to select the pages they are likely to want to see.
Analysis of data obtained by ranking commonly requires non-parametric statistics.
It is not always possible to assign rankings uniquely. For example, in a race or competition two (or more) entrants might tie for a place in the ranking. When computing an ordinal measurement, two (or more) of the quantities being ranked might measure equal. In these cases, one of the strategies shown below for assigning the rankings may be adopted.