Transcription of Simple Logistic Regression.notes - mc.vanderbilt.edu
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Simple Logistic Regression.notes - mc.vanderbilt.edu
1 III. INTRODUCTION TO Logistic REGRESSION1. Simple Logistic Regressiona) Example: APACHE II Score and Mortality in SepsisThe following figure shows 30 day mortality in a sample of septic patients as a function of their baseline APACHE II Score. Patients are coded as 1 or 0 depending on whether they are dead or alive in 30 days, II Score at BaselineDiedSurvived30 Day Mortality in Patients with SepsisWe wish to predict death from baseline APACHE II score in these (x) be the probability that a patient with score xwill that linear regression would not work well here since it could produce probabilities less than zero or greater than II Score at BaselineDiedSurvived30 Day Mortality in Patients with Sepsis2b) Sigmoidal family of Logistic regression curvesLogistic regressionfits probability functions of the following form:pab ab() exp()/( exp())xxx=+ ++1 This equation describes a family of sigmoidal curves, three examples of which are given below.
1 III. INTRODUCTION TO LOGISTIC REGRESSION 1. Simple Logistic Regression a) Example: APACHE II Score and Mortality in Sepsis The following figure shows 30 day mortality in a sample of septic
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