Logistisk regression

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u n i v e r s i t y o f c o p e n h a g e n d e p a r t m e n t o f b i o s t a t i s t i c s <strong>Logistisk</strong> <strong>regression</strong> med to kategoriske variable Spørgsmål: Hvorledes afhænger sandsynligheden for CHD af køn og aldersgruppe ln ( pi 1−p i ) = a + b 1 mand i + b 2 ryger ⎧ i a K ikke-ryger ⎪⎨ a + b = 1 M ikke-ryger a + b 2 K ryger ⎪⎩ a + b 1 + b 2 M ryger. Bemærk: b 1 = (a + b 1 ) − a = (a + b 1 + b 2 ) − (a + b 2 ) = ln OR (mænd vs. kvinder for givet rygestatus), b 2 = (a + b 2 ) − a = (a + b 1 + b 2 ) − (a + b 1 ) = ln OR (rygere vs. ikke-rygere for givet køn) NB: Dette er en additiv model / ingen interaktion. Jævnfør tosidet variansanalyse 28 / 42
u n i v e r s i t y o f c o p e n h a g e n To kategoriske variable i R Estimation > ryger=1,1,0)) > table(ryger) ryger 0 1 748 614 > glm5 summary(glm5) d e p a r t m e n t o f b i o s t a t i s t i c s Call: glm(formula = chdI ~ mand + ryger, family = binomial) Deviance Residuals: Min 1Q Median 3Q Max -0.7716 -0.7607 -0.5564 -0.5564 1.9708 Coefficients: Estimate Std. Error z value Pr(>|z|) (Intercept) -1.78735 0.11508 -15.531 < 2e-16 *** mand 0.69521 0.14635 4.750 2.03e-06 *** ryger1 0.03296 0.14457 0.228 0.82 - (Dispersion parameter for binomial family taken to be 1) Null deviance: 1350.8 on 1361 degrees of freedom Residual deviance: 1324.5 on 1359 degrees of freedom (1 observation deleted due to missingness) AIC: 1330.5 Number of Fisher Scoring iterations: 4 29 / 42
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Logistisk regression

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