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Local polynomial regression for pooled response data
Dewei Wang1, Xichen Mou2, Xiang Li3
1Department of Statistics, University of South Carolina, Columbia, South Carolina, U.S.A.
Abstract:
We propose local polynomial estimators for the conditional mean of a continuous response when only pooled response data are collected under different pooling designs. Asymptotic properties of these estimators are investigated and compared. Extensive simulation studies are carried out to compare finite sample performance of the proposed estimators under various model settings and pooling strategies. We apply the proposed local polynomial regression methods to two real-life applications to illustrate practical implementation and performance of the estimators for the mean function.
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