# Consider each of the following scenarios

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Consider each of the following scenarios
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• Consider each of the following scenarios and explain whether the variable in question is a confounder:
•
1. A study of the relationship between exercise and heart attacks that is conducted among women who do not smoke. Explain whether gender is a confounder.
2. A case-control study of the relationship between liver cirrhosis and alcohol use. In this study, smoking is associated with drinking alcohol and is a risk factor for liver cirrhosis among both non-alcoholics and alcoholics. Explain whether smoking is a confounder.

• Interpret the results of the following studies
•
1. An odds ratio of 1.2 (95% confidence interval: 0.8-1.5) is found for the association of low socioeconomic status and occurrence of obesity.
2. A relative risk of 3.0 is reported for the association between consumption of red meat and the occurrence of colon cancer. The p-value of the association is 0.15.
3. An odds ratio of 7 (95% confidence interval: 3.0 – 11.4) is found for the association of smoking and lung cancer.

• The relationship between cigarette smoking and lung cancer was conducted in a case-control study with 700 cases and 425 controls. Using the results below, calculate the crude odds ratio and explain what the ratio means:
• Heavy Smoking—Cases: 450; Controls: 200
• Not Heavy Smoking—Cases: 250; Controls: 225
• A case-control study looked at the association of alcohol use with the occurrence of coronary heart disease (CHD). There were 300 participants in the study (150 cases and 150 controls). Of the cases, 90 participants drank alcohol; of the controls, 60 participants drank alcohol.

Design the appropriate 2×2 table, calculate and interpret the appropriate measure of association.

You suspect that the association between alcohol use and CHD might be confounded by smoking. You collect the following data:

 Smokers Non-Smokers CHD No CHD CHD No CHD Alcohol Use 80 40 10 20 No Alcohol Use 20 10 40 80

• Calculate the appropriate measure of association between alcohol use and CHD in both smokers and non-smokers. Discuss whether smoking was a confounder of the association. What is the relationship of alcohol use to CHD after controlling for confounding?
• A study was conducted in young adults to look at the association between taking a driver’s education class and the risk of being in an automobile accident. 450 participants were included in the study, 150 cases who had been in an accident and 300 controls who had not. Of the 150 cases, 70 reported having taken a driver’s education class. Of the 300 controls, 170 reported having taken a driver’s education class.

Calculate and interpret the appropriate measure of association between driver’s education and accidents.

The question arose as to whether gender might be an effect modifier of this association. When gender was assessed, the data looked like the following:

 Women Men Accident No Accident Accident No Accident Driver’s Ed 10 50 60 120 No Driver’s Ed 40 50 40 80

Perform the appropriate calculations to test for effect modification. Interpret your results.

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