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3 votes

control "for post-treatment" variables vs omitted variable bias

The term 'bias' in 'omitted variable bias' is a bit unhelpful. In the models $$E[Y|X]=\alpha_0+\alpha_X X$$ and $$E[Y|X,Z]=\beta_0+\beta_X X+\beta_Z Z$$ you will not in general have $\alpha_X=\beta_X$....
Thomas Lumley's user avatar

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