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Unformatted text preview: ancer Group 7 55 489 475 293 38 Control Group Log(Odds) 61 129 570 431 154 12 log(Ωnone ) = log(7/61) = −2.165 log(Ω<5 ) = log(55/129) = −.852 log(Ω5−14 ) = log(489/570) = −.153 log(Ω15−24 ) = log(475/431) = .097 log(Ω25−49 ) = log(293/154) = .643 log(Ω50+ ) = log(38/12) = 1.15 STATISTICS 226, Winter 1997, Homework 1 4 As level of smoking increases, there is a increasing trend in the sample log odds. The odds that male smokers had lung cancer (rather than other diseases) increases as their daily average number of cigarettes increases. In addition to the increasing trend, there is a sign change at level 3. It indicates that there are more control patients than lung cancer patients among those who smoked fewer than 15 cigarettes; whereas there are more lung cancer patients than control patients among those who smoked at least 15 cigarettes per day. b. [3 points]
The 5 log local odds ratios for each pair of adjacent level of smoking are as follows. log(θ12 ) = log(...
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