12.07.2015 Views

Course Notes - Department of Mathematics and Statistics

Course Notes - Department of Mathematics and Statistics

Course Notes - Department of Mathematics and Statistics

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• Given the s.e.(OR) = 0.751. This has a 95% confidence intervalfor the OR <strong>of</strong> (1.45,27.45). Suggesting that we have significantresult• The interpretation <strong>of</strong> this result is that the odds <strong>of</strong> having higherlevels <strong>of</strong> Dieldrin in your breastmilk are 630% higher if you livein a house that has been treated in the last 3 years.• Alternatively we can fit a logistic regression model.• Y = Dieldrin > 0.009ppm ; 1 = Yes 0 = No• x 1 = House treated in the last 3 years; 1 = Yes 0 = No.• Regression model is;Ln( p1−p ) = β 0 + β 1 x 1 + ɛ• Where p is the probability that a person has elevated Dieldrinlevels.• To run this in Rexcel we select:<strong>Statistics</strong> > Fit models > Generalized linear model• We need to make sure the Family is set to binomial <strong>and</strong> the Linkfunction is logitLogistic Regression output256

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