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It is also very difficult to determine if a very small effect is not a very small bias, and this is a problem with some meta-analyses. An obvious solution is always to look at the size of the effect not just the p value.


When you have a mismeasured regressor, even a binary one, isn't the coefficient going to be attenuated (i.e., too low) rather than too high? Or do you have some sort of activity bias story in mind, where active users who buy a lot are exposed to more treatments?

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