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Activity Number: 88 - SPEED: Causal Inference and Related Methodology Part 2
Type: Contributed
Date/Time: Sunday, July 28, 2019 : 5:05 PM to 5:50 PM
Sponsor: Section on Statistics in Epidemiology
Abstract #307512
Title: Hypothesis Testing in Nonlinear Function on Scalar Regression with Application to Child Growth Study
Author(s): Mityl Biswas*
Companies: NC State Univ
Keywords: Function-on-scalar regression; non-linear regression; variance component test; hypothesis testing; multidimensional covariate; child growth

We propose a kernel machine based hypothesis testing procedure in nonlinear function-on-scalar regression model. Our research is motivated by the Newborn Epigenetic Study (NEST) where the question of interest is whether the level of a pre-specified group of metals in a child's cord blood is associated with child growth. The child's weight has been considered as an indication of its growth. We take the child growth trajectory as the functional response, and model the metal measurements jointly using a nonlinear function. We use a kernel machine approach to model the unknown function and transform the hypothesis of no effect to an appropriate variance components test. We demonstrate our proposed methodology using a simulation study and by applying it to analyze the NEST data. Some significant effect was found.

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

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