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Are the results of that research written up somewhere, or is this purely internal?

Can't think of where that particular finding is written up, but you can find a lot of our research and guidance on our blogs and site:

I find all gov.uk web stuff really top notch compared to other EU govts. Keep up the good work.

All of the gov.uk guidance (not sure about the research) is excellently written up. This is a great start: https://www.gov.uk/guidance/government-design-principles