The idea in those articles is to translate standard statistical approaches for historical cases.
I still think that is the right basic approach. However, to be honest the implementation isn't that great, and I'd do thing rather differently if I were doing something similar now.
No problem - happy to discuss what specifically you could do - but it depends a lot on what kinds of other information you have (e.g. about population occupational distributions) and what assumptions you want to make. Maybe here is not the ideal forum for that!
Comments
https://direct.mit.edu/jinh/article-abstract/36/2/209/48104/Propensity-Score-Methods-and-the-Lenin-School
I still think that is the right basic approach. However, to be honest the implementation isn't that great, and I'd do thing rather differently if I were doing something similar now.