Reddit reviews The Stressed Sex: Uncovering the Truth About Men, Women, and Mental Health

There are very well established morphological brain differences between men and women, including differences in the areas which deal with spatial reasoning and interpersonal relationships, as well as differences in which regions of the brain men and women recruit for the same types of tasks. In some areas, men and women show markedly different brain activity even in activities where they show no gaps in performance ability.

The thing is all of this could related to differing socialization. Learned behaviors can cause visible structural changes to the brain, or cause people to perform tasks with different parts of their brain than they otherwise would (music training is a good example of this.) It's hard to come up with a set of evidence which could even theoretically force someone to conclude that there are psychological differences between men and women in aggregate which must be due to biology rather than socialization, given that we cannot presently predict things like how some difference in a protein involved in receptors for some neurotransmitter would cash out in terms of actual psychological differences with any sort of theoretical framework.

But, it does look like the weight of evidence significantly favors there being innate biological differences. According to the book I'm currently reading, there's even evidence for non hormonally-mediated coding for differences in brain expression on the Y-chromosome, which was news to me, although if the book discusses what the specific findings on that are, I haven't gotten to that yet. The more research that comes out in the field, the less it looks like we should reasonably expect men and women to be psychologically identical in the absence of cultural differentiation between them.