Cell Phone Use and Brain Cancer
The association between cellular telephone use and the risk of brain cancer was investigated in a case-control study. The study included 475 cases and 400 controls and the following results were seen:
Cases Controls
Cellular Yes 270 200
Phone
User No 205 200
Total 475 400
Calculate the odds ratio based on these data. 7 points.
Calculate the 95% confidence interval for the OR you just calculated. 7 points.
Interpret the 95% confidence interval. 7 points.
Answer:
Cell Phone Use and Brain Cancer
The association between cellular telephone use and the risk of brain cancer was investigated in a case-control study. The study included 475 cases and 400 controls and the following results were seen:
Cases Controls
Cellular Yes 270 200
Phone
User No 205 200
Total 475 400
Calculate the odds ratio based on these data. 7 points.
Odds ratio =ad/bc
= (270*200)/(205*200)
=1.3171
Calculate the 95% confidence interval for the OR you just calculated. 7 points.
se( log(OR)) = sqrt( 1/270+1/200+1/205+1/200) =0.1363
95% CI for log(OR) = (log(OR)-1.96* se( log(OR)), log(OR)+1.96* se( log(OR)))
= (0.2754-1.96*0.1363, 0.2754-1.96*0.1363)
=(0.0083, 0.5425)
95% CI for OR = ( exp(0.0083), exp(0.5425) )
= (1.0083, 1.7203)
Interpret the 95% confidence interval. 7 points.
We are 95% confident that true OR falls in the interval (1.0083, 1.7203).
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