Sure thing, this [1] is one better than a meta-analysis. This is a typically extensive report from The National Academy of Sciences in 2010 carried out on gender differences. It involves a mixture of an academic meta-analysis, extensive surveying (with high response rates), and an analysis of real hiring data across six different fields: biology, chemistry, civil engineering, electrical engineering, mathematics, and physics. If it's not clear, that book is available for free in PDF format (right hand side) - you just need provide an email address, which is not validated.

Key findings are covered on page 153. Various highlights:

- The findings on academic hiring suggest that many women fared well in the hiring process at Research I institutions, which contradicts some commonly held perceptions of research-intensive universities. If women applied for positions at RI institutions, they had a better chance of being interviewed and receiving offers than had male job candidates.

- The percentage of women who were interviewed for tenure-track or tenured positions was higher than the percentage of women who applied.

- For all disciplines the percentage of tenure-track women who received the first job offer was greater than the percentage in the interview pool.

- Female tenure-track and tenured faculty reported that they were more likely to have mentors than male faculty.

- Women were more likely than men to receive tenure when they came up for tenure review.

It's the same story everywhere. Women are more than embraced in science and tech. The problem is not about equality of opportunity, but about equality of result: in spite of the very favorable treatment of women, they remain underrepresented.

[1] - https://www.nap.edu/catalog/12062/gender-differences-at-crit...

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I think this is already getting quite long, but one other thing I'd also add is that you can find relevant studies from Scandinavia as well. Norway is generally considered the most gender equal nation in the world. And they too went through a phase of trying to push women into various roles generally filled by men. What they found is that there was a small and roughly constant bump in participation in these fields, as opposed to the self increasing bump you might expect if gender itself produced a strong feedback mechanism. And as soon as the push lapsed, everything went back to "normal" with a great rapidity. I think the thing this really emphasizes is that you can try to push people in one direction or another, much as with some effort you can form a sponge into nearly any shape, yet what happens when you stop pushing that sponge? It just goes back to its normal form.

I'm full on with you about ensuring complete and equal opportunity for any and all women who want to focus on STEM or whatever else, to do so. But in hindsight I sometimes wonder if we go too far with "encouragement." Now going on quite a number of years after graduation, I work with computers. My wife works with people. She was majoring in sociology before I, like the good egalitarian I thought myself to be, persuaded her to swap to computer science. It was probably still for the best overall (as computer science yields skills beyond just tech) but I've always found the irony thought provoking.