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Emile comments on Understanding Simpson's Paradox - Less Wrong Discussion

11 Post author: Vaniver 18 September 2013 07:07PM

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Tags: pearl simpson's_paradox statistics causality

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Comment author: Emile 20 September 2013 08:24:55AM *  13 points [-]

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.

Comment author: Viliam_Bur 20 September 2013 08:42:49AM 6 points [-]

Small numbers that illustrate the case. Perfect!

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