In: Statistics and Probability
In the low alcohol group, 174 women developed head and neck cancer in 23,800 person-years of observation, while in the high alcohol group 126 women developed head and neck cancer in 4,200 person-years.
Breast cancer was diagnosed in 710 women with low alcohol intake who contributed 22,100 person-years of observation, while in the high alcohol intake group 290 women developed breast cancer in 3,900 person-years of observation.
Calculate the attributable risk due to high alcohol intake for head and neck cancers and breast cancers in this cohort of women.
For head and neck cancer
The 2x2 contingency table is defined as,
Head and neck cancer: Yes | Head and neck cancer: No | Total | |
High alcohol group | a=126 | b=4074 | a+b=4200 |
Low alcohol group | c=174 | d=23626 | c+d=23800 |
Total | a+c=300 | b+d=27700 | a+b+c+d=28000 |
The attributable risk is obtained using the following formula,
where p1 = proportion of head and neck cancer for high alcohol group, and
p2 = proportion of head and neck cancer for low alcohol group
For breast cancer
The 2x2 contingency table is defined as,
Breast cancer: Yes | Breast cancer: No | Total | |
High alcohol group | a=290 | b=3610 | a+b=3900 |
Low alcohol group | c=710 | d=21390 | c+d=22100 |
Total | a+c=300 | b+d=27700 | a+b+c+d=28000 |
The attributable risk is obtained using the following formula,
where p1 = proportion of breast cancer for high alcohol group, and
p2 = proportion of breast cancer for low alcohol group