You may use OpenEpi for all statistical calculations.
1. Suppose a case-control study of the was performed to assess the relationship between alcohol consumption (ALC) and oral cancer (OCa) among non-smokers. Results of this study, stratified on age, are displayed below:
Age 40-49 |
ALC |
No ALC |
OCa |
4 |
25 |
No OCa |
22 |
309 |
Age 50-59 |
ALC |
No ALC |
OCa |
12 |
10 |
No OCa |
37 |
67 |
Age 60+ |
ALC |
No ALC |
OCa |
11 |
12 |
No OCa |
31 |
67 |
a. What is the crude odds ratio for these data?
b. What are the stratum-specific ORs. Is there evidence of effect modification by age? Justify your answer.
c. What is the value of the mOR and 95% CI? Based on this summary estimate, is there evidence of data-based confounding by age in these data? Justify your answer.
d. Based on the results above, which do you think it is better to present: the crude OR, the stratum-specific ORs or the mOR?
e. Carry out the appropriate test to determine whether the observed overall association between ALC and OCa, stratified on age, is statistically significant. Report the results of the appropriate chi-square test.
2. A case-control study was conducted to assess the potential relationship between alcohol consumption and bladder cancer. Data from the study are summarized below, stratified on three race categories.
White |
ALC |
No ALC |
Case |
72 |
41 |
Control |
106 |
105 |
Black |
ALC |
No ALC |
Case |
93 |
54 |
Control |
113 |
113 |
Asian |
ALC |
No ALC |
Case |
68 |
33 |
Control |
78 |
142 |
a. What is the crude OR for these data?
b. Calculate the stratum-specific ORs. Is there evidence of effect modification by race? Justify your answer.
c. Should you estimate an overall adjusted odds ratio that controls for race using all three strata? Justify your answer.
d. What do you conclude about the ALC, bladder cancer relationship?