Association-2

# Association-2 - Odds Ratio For 2 X 2 tables mostly Ratio of...

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1 Association 2 4/15/2011 Odds Ratio For 2 X 2 tables mostly Ratio of one odds to another Example Female legislative candidates, 2010 general election X = Party Y = Won or Lost Female State Legislative Candidates 2010 General Election Party Republican Democratic Total Won 561 Lost 347 Total 908 Female State Legislative Candidates 2010 General Election Party Republican Democratic Total Won 561 892 561 Lost 347 724 347 Total 908 1616 908 Female State Legislative Candidates 2010 General Election Party Republican Democratic Total Won 62% 55% 62% 561 892 561 Lost 38% 45% 38% 347 724 347 Total 100% 100% 100% 908 1616 908

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2 Odds Ratio What are the odds of a Republican woman winning? 561/347= 1.62 What are the odds of a Democratic woman winning? 892/724= 1.23 Odds Ratio Odds Ratio = Odds Democratic Woman Wins Odds Republican Woman Wins 1.23 1.62 = 1.32 Interpretation The odds of a Republican female candidate winning are 1.32 times that of a Democratic female candidate. Could flip it around… 1.23/1.62 = .76 The odds of a Democratic female candidate winning are .76 times that of a Republican female candidate.
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