The Coverage Evaluation Survey (CES) of the 1990 Decennial Census will provide estimates of the total population for a variety of geographic areas and characteristics. This report provides information on the performance of some small area estimation procedures for total population based on a simulation of the undercount. The report consists of two parts. The first part considers the state of New Jersey and considers coverage estimates for counties, places, enumeration districts (EDs) and census blocks in the state. A single state was used chiefly because of cost. New Jersey was selected because it was of moderate size, had a reasonable number of large cities, a reasonable amount of rural population, and a moderate sized minority population (Black and Hispanic). The second part of this report documents the results of measures of performance for five additional states.