Question

In: Statistics and Probability

In the low alcohol group, 174 women developed head and neck cancer in 23,800 person-years of...

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.

Solutions

Expert Solution

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


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