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

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