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For those people with a particular type of cancer, the odds ratio between age (1=younger, 0=older) and recovery (1=remission, 0=no remission) was 2.1. Why is
For those people with a particular type of cancer, the odds ratio between age (1=younger, 0=older) and recovery (1=remission, 0=no remission) was 2.1.
- Why is it incorrect to say: "The probability of remission for younger subjects is 2.1 times the probability of remission for older subjects"? Give the correct interpretation of the number 2.1.
- Suppose that the odds of remission for older subjects are 1.5.What are the odds of remission for younger subjects?
- For each age group, find the proportion of subjects who went into remission.
- Find the value of R in the interpretation: "The probability of remission for younger subjects is R percentage points higher than that of older subjects."
- Find the value of R in the interpretation: "The probability of remission for older subjects is R times that of younger subjects."
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