I'd like to help but what is a PGLMM for binary data? You might google boos adaptive lasso R NCSU statistics. This has R programs that may be of some assistance to you if the binary variable is a DV.. May the force be with you. David Booth
Hi again. All of that is the same thing that I suggested for you except for phylogenetic which only refers to its biological use not to any statistical properties. This it appears logistic regression methods in my reference to you should be of some interest to you. I have been working some problems like that. I have attached our recent.paper.that you might want to look at. If you want to follow up on this please feel free to contact me on Researchgate..Best of luck with your research, David Booth