Part II. Consider the following two hypothetical case-control studies (Fake data), each studying the relationship between eating bacon and stomach cancer stratified by nationality.

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Part II. Consider the following two hypothetical case-control studies (Fake data), each studying the relationship between eating bacon and stomach cancer stratified by nationality. Complete questions after presentation of studies. (each question is worth 8 points)

STUDY 1

JAPANESEAMERICAN
Stomach CancerNo CancerStomach CancerNoCancer
Eats Bacon200100300Eats Bacon115265380
No Bacon100200300No Bacon20200220
300300600135465600

STUDY 2

JAPANESEAMERICAN
Stomach CancerNo CancerStomach CancerNoCancer
Eats Bacon200100300Eats Bacon115265380
No Bacon100200300No Bacon53530583
300300600168795963

For each study, complete the following:

1. Is nationality a risk factor for stomach cancer? You may use 2-by-2 tables and calculation of odds ratio to make your assessment. You must show your work.

2. Is nationality associated with eating bacon? You may use 2-by-2 tables and calculation of odds ratio to make your assessment. You must show your work.

3. Fill in the strata-specific (strata by nationality), and crude OR’s for both studies. You must show your work.

4. Calculate the M-H (Mantel-Haenszel) OR’s for each study. You must show your work.

5. In study 1, is nationality a confounder of the relationship between eating bacon and stomach cancer? Explain your answer. In study 2, is nationality a confounder of the relationship between eating bacon and stomach cancer? Explain your answer.

6. How was the data “fixed” in Study 2 relative to Study 1, so that nationality would no longer be a confounder? Specifically, what association between two things was removed in Study 2 as compared to Study 1? Show that this association was, in fact, removed. Hint: calculate an OR between these two things.     

 
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