Reverse regression
From Machinelearning
Reverse regression refers to a problem in statistical inference where a conclusion is reversed depending on the variable being adjusted.
The example given by Pearl is that of salary discrimination: comparing the salaries of equally qualified men and women, we see that men earned a higher salary, but comparing the qualifications of equally paid men and women, we see that men are more qualified (p. 426).[1]
There is some discussion of this on LessWrong.[2]
Relation to Simpson's paradox is discussed in http://ect.bell-labs.com/who/tkh/publications/papers/reg.paradox.TAS.pdf
History
Judea Pearl says the "controversy" "occupied the social science literature in the 1970s".[1]
References
- ↑ 1.0 1.1 Judea Pearl. "Epilogue: The Art and Science of Cause and Effect" in Causality: Models, Reasoning, and Inference. 2nd ed. Cambridge University Press. 2009.
- ↑ https://www.greaterwrong.com/posts/FGsoajyYJRczieqh5/understanding-simpson-s-paradox/comment/JyrGhmYj8xSHgPqst