# inclass_nov8 - Stat 296 Fall 2007 Comparing Two Ranking...

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Stat 296 Fall 2007 Comparing Two Ranking Systems Consider Problem #5 on Assignment #4 concerning the ranking of countries at the Olympics. The “oﬃcial” ranking as done by the IOC is to rank countries by the colour of the medals won. That is, countries are ﬁrst ranked by gold medals, then by silver medals, and ﬁnally by bronze medals. In contrast, the CBC chose to rank countries on the basis of total medals won. Although the CBC ranking system is “unoﬃcial,” it has the advantage that Canada places third overall in comparison to its ﬁfth place ﬁnish in the IOC rankings. Based on the data for the 2006 Winter Olympics in Turin, can we decide statistically which of two proposed ranking systems (the CBC rank or the IOC rank) more fairly determines the winner? Ranking By Total Medals Won (CBC Rank) Country Gold Silver Bronze TOTAL Rank Germany 11 12 6 29 1 United States 9 9 7 25 2 Canada 7 10 7 24 3 Austria 9 7 7 23 4 Russia 8 6 8 22 5 Norway 2 8 9 19 6 Sweden 7 2 5 14 7.5 Switzerland 5 4 5 14 7.5 China 2 4 5 11 10 Italy 5 0 6 11 10 South Korea 6 3 2 11 10 Finland 0 6 3 9 13 France 3 2 4 9 13 Netherlands 3 2 4 9 13 Czech Republic 1 2 1 4 15 Croatia

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## This note was uploaded on 11/20/2011 for the course STATISTICS ST3241 taught by Professor Manwai's during the Spring '11 term at National University of Singapore.

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inclass_nov8 - Stat 296 Fall 2007 Comparing Two Ranking...

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