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A Comparison of Aggregate and Proportional Loss Functions in Adjustment Using Artificial Population

Written by:
RR88-11

Abstract

Aggregate loss functions are loss functions for counts of areas where the count itself is of interest. Proportional loss functions are loss functions for counts of areas where the count as a proportion of a total is of interest. To date, much of the work on adjustment has concentrated on aggregate loss functions. A question is whether this effort will necessarily produce estimated counts which provide a reduction with respect to the census for proportional loss functions. The importance of this question lies in the uses of the census counts for reapportionment of the House of Representatives and fund allocation, for which a relative loss function is natural.

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Page Last Revised - October 28, 2021
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