there's a threshold that's 0.67 SDs (10 points) above the higher-performing of two groups with equal variances who are separated by 0.97 d.
With simulated group sizes of one million persons each, the mean differences decline, and the SDs do too. The new gap is 0.412 d.
But we know that the 0.97 d gap is an underestimate due to range restriction.
Using MBE scores, it looks like the unrestricted gap should be more like 1.22 d. That leaves us with a 0.537 d gap above the threshold.
Do we have subsequent performance measures?
Yes! We have three:
- Complaints made against attorneys
- Probations
- Disbarments
For men, the gaps, in order, are 0.576, 0.513, and 0.564 d. For women, the gaps are 0.576, 0.286, and 0.286 d.
Men fit expectations and women apparently needed less discipline.
These gaps probably replicate nationally.
For example, here are Texas pass rates from 2004 - a 0.961 d Black-White first-pass gap. The 2006 update to these figures raised the gap to 0.969 d.
Those figures are basically in line with LSAC's national study of Bar exam pass rates.
And those are basically in line with New York's gaps.
And this should probably be expected, since tests measure the same things.
Since all of the people included in these statistics went to ABA-accredited schools, they all had the opportunity to learn what was required to perform well on these tests.
But just like the Step examinations for medical doctors, the gaps on the tests and in real life remain.
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Greater Male Variability rarely makes for an adequate explanation of sex differences in performance.
One exception may be the number of papers published by academics.
If you remove the top 7.5% of men, there's no longer a gap!
The disciplines covered here were ones with relatively equal sex ratios: Education, Nursing & Caring Science, Psychology, Public Health, Sociology, and Social Work.
Because these are stats on professors, this means that if there's greater male variability, it's mostly right-tail
Despite this, the very highest-performing women actually outperformed the very highest-performing men on average, albeit slightly.
The percentiles in this image are for the combined group, so these findings coexist for composition reasons.
If men do more of the housework and child care, fertility rates will rise!
Men have been doing increasingly large shares of the housework and child care.
Fertility is lower than ever.
In fact, they're doing more in each generation, but fertility has continued to fall.
The original claim, that men's household work would buoy fertility, was based on cross-sectional data that was inappropriately given a causal interpretation.
The updated cross-sectional data is as useful, and it affords no assurances about the original idea.