But there being less full professors than assistant professors isn't evidence of them not being promoted on the basis of their sex? Are they dropping out at dif

But there being less full professors than assistant professors isn't evidence of them not being promoted on the basis of their sex? Are they dropping out at different rates or different ages? Are they putting in the same hours? Are they accomplishing the same things? Are they in the same fields? The analysis of the gender earnings gap showed that these assumptions that all of these things were a given to have been equal between the sex populations were actually far from it. There are so many variables at play. The argument would be much more compelling if it didn't just offer the single variable of their sex, with the assumption being that all else considered, the candidates are identical.