The means are readily available, and the UK has seen an increase in women chosing more violent means, but it seems that women tend to chose less violent methods.

The office for national statistics has great data. It's particularly useful because they define what they mean.

https://www.ons.gov.uk/peoplepopulationandcommunity/birthsde...

And we also have great data available under the Fingertips system. http://fingertips.phe.org.uk/profile-group/mental-health/pro...

I'd guess that men are more likely to have sturdy rope available, and more likely to be good with knots.

I don't know why you would think that poison or hanging are equally available to both genders. In the aggregate, there are significant differences in not only career choices but hobby choices and other aspects of lifestyle. It in no way surprises me this impacts aggregate statistics on methodology.

I posit that many supposed gender differences are rooted in the different life experiences of the sexes:

http://micheleincalifornia.blogspot.com/2014/03/princesses-d...

Why wouldn't you think that? Poison and hanging are equally available but they choose different methods based on life experiences.

That is, they both have a bunch of pills or a rope lying around but that doesn't mean they both choose them.

Either way we've wandered into deep speculation territory. We need more data.

I'm assuming I don't know, which is the truth. I'm also assuming none of y'all do either without building on this study. Assumptions kill in these cases.