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Activity Number: 386 - SPEED: Statistics in Epidemiology Part 1
Type: Contributed
Date/Time: Wednesday, August 10, 2022 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics in Epidemiology
Abstract #323092
Title: Dynamic Single-Index Scalar-on-Function Models
Author(s): Yiwei Li* and Yuyan Wang and Mengling Liu
Companies: New York University and New York University Department of Population Health and New York University Grossman School of Medicine
Keywords: Environmental Mixtures; Single-index model; Spline techniques
Abstract:

Motivated by a study evaluating complex time-varying prenatal environmental exposures’ influence on fetal growth, we propose a novel dynamic functional single-index model to study the accumulative effects of multiple functional exposures on a scalar outcome. Through a nonparametric bivariate link function, our proposed model can capture the dynamic nature in the predictor-response relationship. The effects of multiple functional exposures are aggregated by a single index combination. Employing B-spline tensor product to approximate the unknown bivariate function, we develop a numerically stable and computationally efficient estimation procedure using profile least square method, followed with asymptotic properties for the single-index coefficient estimates including consistency and asymptotic normality. In addition, we propose a wild bootstrap test statistics to test whether the exposure-outcome relationship is truly dynamic. The performance of our method is evaluated under extensive simulation scenarios and applied to a real study to evaluate the relationship between air pollutants and birth weight.


Authors who are presenting talks have a * after their name.

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