In: Statistics and Probability
Epidemiology
4.5. Cole and MacMahon (1971) present the data given below from a case-control study of bladder cancer:
| 
 High-risk Occupation?  | 
 High cigarette Consumption?  | 
 No. of cases  | 
 No. of controls  | 
| 
 No  | 
 No  | 
 43  | 
 94  | 
| 
 No  | 
 Yes  | 
 173  | 
 189  | 
| 
 Yes  | 
 No  | 
 26  | 
 20  | 
| 
 Yes  | 
 Yes  | 
 111  | 
 72  | 
(i) Calculate the odds ratio for bladder cancer comparing high-risk to other occupations (ignoring cigarette consumption).
(ii) Test the null hypothesis that the odds ratio is the same for those who work in high-risk and in other occupations.
(iii) Calculate the Mantel-Haenszel odds ratio for high-risk versus other occupations,adjusted for cigarette consumption.
(iv) Test the null hypothesis that the smoking-adjusted odds ratio is one.
(v) Interpret the results.