Title | Estimation of a partially linear additive model for data from an outcome-dependent sampling design with a continuous outcome. |
Publication Type | Journal Article |
Year of Publication | 2016 |
Authors | Tan, Ziwen, Guoyou Qin, and Haibo Zhou |
Journal | Biostatistics |
Volume | 17 |
Issue | 4 |
Pagination | 663-76 |
Date Published | 2016 Oct |
ISSN | 1468-4357 |
Keywords | Child, Child Development, Data Interpretation, Statistical, Female, Humans, Intelligence, Models, Theoretical, Pregnancy, Prenatal Exposure Delayed Effects, Research Design |
Abstract | Outcome-dependent sampling (ODS) designs have been well recognized as a cost-effective way to enhance study efficiency in both statistical literature and biomedical and epidemiologic studies. A partially linear additive model (PLAM) is widely applied in real problems because it allows for a flexible specification of the dependence of the response on some covariates in a linear fashion and other covariates in a nonlinear non-parametric fashion. Motivated by an epidemiological study investigating the effect of prenatal polychlorinated biphenyls exposure on children's intelligence quotient (IQ) at age 7 years, we propose a PLAM in this article to investigate a more flexible non-parametric inference on the relationships among the response and covariates under the ODS scheme. We propose the estimation method and establish the asymptotic properties of the proposed estimator. Simulation studies are conducted to show the improved efficiency of the proposed ODS estimator for PLAM compared with that from a traditional simple random sampling design with the same sample size. The data of the above-mentioned study is analyzed to illustrate the proposed method. |
DOI | 10.1093/biostatistics/kxw015 |
Alternate Journal | Biostatistics |
Original Publication | Estimation of a partially linear additive model for data from an outcome-dependent sampling design with a continuous outcome. |
PubMed ID | 27006375 |
PubMed Central ID | PMC5031945 |
Grant List | P01 CA142538 / CA / NCI NIH HHS / United States P30 ES010126 / ES / NIEHS NIH HHS / United States R01 ES021900 / ES / NIEHS NIH HHS / United States |
Estimation of a partially linear additive model for data from an outcome-dependent sampling design with a continuous outcome.
Project: