# HW7_Sol - STAT 426 HW7 1(5.24 logit π = α β 1 A β 2 S...

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Unformatted text preview: STAT 426 HW7. 1. (5.24) logit( π ) = α + β 1 A + β 2 S + β 3 R + β 4 R * S, where A =average number of alcoholic drink drinks consumed per day. S = braceleftBigg 1 , at least one pack per day , o.w. R = braceleftBigg 1 , black , white Y = braceleftBigg 1 , yes , no a. Prediction equation: when R = 1 , logit(ˆ π ) = (ˆ α + ˆ β 3 ) + ˆ β 1 A + ( ˆ β 2 + ˆ β 4 ) S =- 6 . 7 + 0 . 1 A + 1 . 4 S when R = 0 , logit(ˆ π ) = ˆ α + ˆ β 1 A + ˆ β 2 S =- 7 + 0 . 1 A + 1 . 2 S Y-S conditional odds ratio: When R = 1 : log(odds( S = 1)) = (ˆ α + ˆ β 2 + ˆ β 3 + ˆ β 3 + ˆ β 4 ) + ˆ β 1 A ——(1) log(odds( S = 0)) = (ˆ α + ˆ β 3 ) + ˆ β 1 A ——(2) (1)-(2): log(OR(S))= ˆ β 2 + ˆ β 4 = 1 . 4 ⇒ OR(S) = exp(1 . 4) = 4 . 06 When R = 0 : log(odds( S = 1)) = (ˆ α + ˆ β 2 ) + ˆ β 1 A ——(3) log(odds( S = 0)) = ˆ α + ˆ β 1 A ——(4) (3)-(4): log(OR(S))= ˆ β 2 = 1 . 2 ⇒ OR(S) = exp(1 . 2) = 3 . 32 Prediction equation: when S = 1 , logit(ˆ...
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## This note was uploaded on 04/29/2010 for the course STAT stat 426 taught by Professor Xe during the Spring '10 term at University of Illinois at Urbana–Champaign.

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HW7_Sol - STAT 426 HW7 1(5.24 logit π = α β 1 A β 2 S...

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