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Schirm and Preston (1987) have shown in a Monte Carlo study that the decision on whether to adjust the census for under coverage can depend strongly on the loss function used to make the decision. The purpose of this comment is to explore the dependence of their findings on various features of their simulation study. Specifically, when one uses three demographic groups rather than two, or one uses different loss functions, the dependence of the decision to adjust on the choice of the loss function is considerably reduced. Furthermore, the degree of agreement of various loss functions on whether to adjust is empirically shown to be a smooth function of the correlation between the adjustment factor used and the true adjustment factor.
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