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The U.S. Census Bureau provides an estimate of the true population as asupplement to the basic census numbers. This estimate is constructed from datain a post-censal survey. The overall procedure is referred to as dual systemestimation. Dual system estimation is designed to produce revised estimates atall levels of geography, via a synthetic estimation procedure. We design threealternative formulas for dual system estimation and investigate the differencesin area estimates produced as a result of using those formulas. The primarytarget of this exercise is to better understand the nature of the homogeneityassumptions involved in dual system estimation and their consequences when usedfor the enumeration data that occurs in an actual large scale application likethe Census. (Assumptions of this nature are sometimes collectively referred toas the ``synthetic assumption'' for dual system estimation.) The specific focusof our study is the treatment of the category of census counts referred to asimputations in dual system estimation. Our results show the degree to whichvarying treatment of these imputation counts can result in differences inpopulation estimates for local areas such as states or counties.

Alternative formulas for synthetic dual system estimation in the 2000 census