Local polynomial regression for pooled response data

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.

Keywords:

• Cross-validation
• homogeneous pooling
• random pooling

2010 Mathematics Subject Classifications:

• 62G08
• 62G20

Acknowledgements

The authors are grateful to the Associate Editor and the two anonymous referees for their insightful comments and helpful suggestions that greatly improved our work. Wang's work was supported by the National Institutes of Health (NIH) under the Award Number R03 AI135614.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by National Institutes of Health [R03 AI135614].