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The Governments Division of the U.S. Census Bureau publishes estimates of many aggregates. To achieve more accurate results with lower cost one goal of sampling is to minimize the number of smaller and non-contributory units in the overall design. Unfortunately, little research has been conducted to determine how to reduce smaller units. In this paper, we propose a numerical procedure based on minimizing the sum of mean squared errors to identify the breakpoint for determining the size-based strata. We then vary the amount of small stratum reduction to find an optimal balance between cutpoint and reduction. Data from the 2007 Census of Governments: Employment are used for this study.
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