The main computational diculty in the analysis of incomplete data is taking draws from this posterior. The EM algorithm (Dempster, Laird, and Rubin 1977) is a simple computational approach to nding the mode of the posterior. Our EMB algorithm combines the classic EM algorithm with a bootstrap approach to take draws from this posterior. For each draw, we bootstrap the data to simulate estimation uncertainty and then run the EM algorithm to nd the mode of the posterior for the bootstrapped data, which gives us fundamental uncertainty too (see Honaker and King (2010) for details of the EMB algorithm).