Syndicate content  gender power doesn't come cheap  Markus
Goldstein's picture  coauthored with Alaka Holla   Some of these
interactions will not be statistically significant (i.e.
different from zero) simply because there aren’t enough
observations to detect meaningful differences.   Say you find a
difference between men and women of 30 percentage points, with a
standard error of 20 percentage points.   Would you be
comfortable saying there is no difference?   Statistically, this
is not different from zero at a standard level of confidence. At
this point, though, you may want to ask what was the smallest
difference I could have detected, given the variance in the
data?   The answer to this question is pretty easy to calculate
(with just standard errors) – this paper by Don Andrews (ungated
version here) shows you how.   If the smallest detectable
difference is quite high (i.e. this would have been a result
worthy of publication had it been statistically significant),
then this is a zero that doesn’t tell us