I have a microdata recipient survey and a macro (aggregate) donor. How can I fuse the (binary categorical) data? The Statistical Matching techniques/software I'm familiar with are micro-to-micro. Furthermore, a web search revealed nothing (but perhaps my terms were wrong).
One (possibly over-simplified/naive) approach is:
Build a probability distribution of the donor's response in question, broken out into (harmonized) common variables like age, income, etc...
A respondent in the recipient that most closely matches donor profile X (e.g.: Nearest Neighbor) is assigned a "yes" response with probability X (based on #1).
Any pointers, comments on the above, references and software (R is a good one) are greatly appreciated.