Question

1. Let Int Ply=1) , pſy=1) = ßo + B1X1 + B2X2 + BX, X Parameter Estimate SE Bo -2.8 1.2 B1 0.706 0.311 0.0004 0.0001 0.0006 0.0003 B2 Let X1 = Smoking status ( 1 =smoking, 0 = not smoking), let X2 = SBP (Systolic Blood Pres! Estimate the Odds Ratio of a 50 year old smoking person with SBP = 138 versus a non shu person with SBP = 120 Let X A = (1, 138, 138) XB = (0, 120,0)

Answer 1

Note that we can find the odds ratio (OR) in the following way:

(p(Y = 1XA)/p(Y = 0XA) In(OR) = ln ( p(Y = 1|XB)/p(Y = 0XB) 3 (X4 - XB) = 8. (1,18,138) = 0.706 + 180.0004 + 138 0.0006 = 0.796 → OR = 0.796 2.22

The estimated Odds ratio between the two given condition would be 2.22.