# Fusing Aggregate (Macro) and Micro Data?

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:

1. Build a probability distribution of the donor's response in question, broken out into (harmonized) common variables like age, income, etc...

2. 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.

• I'm interested in what your goal is here. Are you trying to match recipients to donors? Or determine the likelihood that two individuals will be matched given information on each of them? I'm going to guess that you don't have any information on how donor attributes are correlated, if you only have summary statistics. Do you have any other information that might be useful here? – Matt Jun 7 '14 at 18:41
• Unfortunately, I only have summary statistics for the donor (hence no info on correlations), but observations for the recipient. I'm trying to enrich the recipient set with some donor variables such that the summary statistics match. Put another way, how can one do statistical matching when the donor is summary? – R. Barzell Jun 9 '14 at 11:41