Local polynomial regression for pooled response data

@article{Wang2020LocalPR,
  title={Local polynomial regression for pooled response data},
  author={Dewei Wang and Xichen Mou and Xiang Li and Xianzheng Huang},
  journal={Journal of Nonparametric Statistics},
  year={2020},
  volume={32},
  pages={814 - 837}
}
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… 
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Varying-coefficient regression analysis for pooled biomonitoring.
TLDR
The varying-coefficient regression model is proposed to be used for individual-level biomonitoring and methods to estimate the varying- coefficient coefficients based on different types of pooled data are provided.

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