Assess whether there is a difference between the incidence rate of breast cancer for premenopausal vs. postmenopausal women, controlling for age. Write out all 4 steps of the hypothesis test including a two-tailed -value. Problem 2 Provide a point estimate of the incidence rate ratio for postmenopausal vs. premenopausal women after controlling for age. Support your estimate with a 95% confidence interval for the rate ratio.
The data in the following table provide the relationship between breast-cancer incidence rate and menopausal status by age, based on Nurses’ Health Study (NHS) data from 1976-1990.
The incidence rate for each group is given in two ways - first as cases/person-years and then as (cases per 100,000 person-years).
|
Age |
Premenopausal |
Postmenopausal |
|
35-39 |
124/131,704 (94) |
15/14,795 (101) |
|
40-44 |
264/179,132 (147) |
47/43,583 (108) |
|
45-49 |
304/151,548 (201) |
163/90,965 (179) |
|
50-54 |
159/61,215 (260) |
401/184,597 (217) |
|
55-59 |
25/6133 (408) |
490/180,458 (272) |
Problem 1
Assess whether there is a difference between the incidence rate of breast cancer for premenopausal vs. postmenopausal women, controlling for age. Write out all 4 steps of the hypothesis test including a two-tailed -value.
Problem 2
Provide a point estimate of the incidence rate ratio for postmenopausal vs. premenopausal women after controlling for age. Support your estimate with a 95% confidence interval for the rate ratio.
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