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Despite its shortcomings, cross-level or ecological inference remains anecessary part of some areas of quantitative inference, including in UnitedStates voting rights litigation. Ecological inference suffers from a lack ofidentification that, most agree, is best addressed by incorporatingindividual-level data into the model. In this paper we test the limits of suchan incorporation by attempting it in the context of drawing inferences aboutracial voting patterns using a combination of an exit poll and precinct-levelecological data; accurate information about racial voting patterns is needed toassess triggers in voting rights laws that can determine the composition ofUnited States legislative bodies. Specifically, we extend and study a hybridmodel that addresses two-way tables of arbitrary dimension. We apply the hybridmodel to an exit poll we administered in the City of Boston in 2008. Using theresulting data as well as simulation, we compare the performance of a pureecological estimator, pure survey estimators using various sampling schemes andour hybrid. We conclude that the hybrid estimator offers substantial benefitsby enabling substantive inferences about voting patterns not practicablyavailable without its use.

Exit polling and racial bloc voting: Combining individual-level and R$\times$C ecological data