Question: The data below is from a hypothetical case-control study examining the relationship between throat cancer (outcome) and smoking history (exposure), categorized as never vs. ever

The data below is from a hypothetical case-control study examining the relationship between throat cancer (outcome) and smoking history (exposure), categorized as never vs. ever smoking.

Throat Cancer

(Case)

No Throat Cancer (Control)
Ever smoked

A

40

B

20

Never smoked

C

100

D

300

  1. What is the odds ratio of ever smoking comparing individuals with versus without throat cancer?

  1. The data given in the table above is the "true" data (i.e., no misclassification). Suppose 20% of exposed persons (ever smokers) were misclassified as being non-exposed (never smokers) and 10% of non-exposed persons (never smokers) were misclassified as being exposed (ever smokers). Create a new 2x2 table for this scenario of misclassification.

Throat Cancer

(Case)

No Throat Cancer (Control)
Ever smoker
Never smoker

  1. Using the new 2x2 table created under the scenario of misclassification,what is the odds ratio of ever smoking comparing individuals with versus without throat cancer?

  1. Is this an example of differential or non-differential misclassification? Explain briefly.

  1. Does the difference between the true OR and the OR under the scenario of misclassification match what you would expect based on your answer to (d)?

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