Let’s take a world with 10 people and 4 jobs:
Engineer (high-education, high-pay): 2 men and 1 woman
Teacher (high-education, low-pay): 1 man and 1 woman
Plumber (low-education, high-pay): 1 man and 1 woman
Cleaner (low-education, low-pay): 1 man and 2 women
If you control for education:
50% of uneducated men have high-paying jobs, versus 33% of uneducated women
66% of educated men have high-paying jobs, versus 50% of educated women
… and if you control for pay:
66% of high-salary men are educated, versus 50% of high-salary women
50% of low-salary men are educated, versus 33% of low-salary women
You can also check that for both men and women, income and education are correlated.
Small numbers that illustrate the case. Perfect!
Let’s take a world with 10 people and 4 jobs:
Engineer (high-education, high-pay): 2 men and 1 woman
Teacher (high-education, low-pay): 1 man and 1 woman
Plumber (low-education, high-pay): 1 man and 1 woman
Cleaner (low-education, low-pay): 1 man and 2 women
If you control for education:
50% of uneducated men have high-paying jobs, versus 33% of uneducated women
66% of educated men have high-paying jobs, versus 50% of educated women
… and if you control for pay:
66% of high-salary men are educated, versus 50% of high-salary women
50% of low-salary men are educated, versus 33% of low-salary women
You can also check that for both men and women, income and education are correlated.
Small numbers that illustrate the case. Perfect!