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What's the deal with Chetty et al?

Can someone explain why we are looking at teachers who exit?

There are actually two Chetty et al. papers:

https://www.aeaweb.org/articles?id=10.1257/aer.104.9.2633

https://www.aeaweb.org/articles?id=10.1257/aer.104.9.2633

The first paper is about bias in teacher value-added. We could imagine that students and teachers are nonrandomly matched to each other in ways that would lead value-added to systematically under- or over-state effectiveness for particular teachers. Chetty et al. explore this by looking at teacher separations as an exogenous shock to the normal student-teacher matching in schools.

The second paper is about whether teacher value-added is associated with long-run student outcomes: college going, earnings, etc.

Hope this helps!