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Accepted (AM)Open Access (License Unspecified), Open
Journal article
Testing Departure from Additivity in Tukey’s Model using Shrinkage: Application to a Longitudinal Setting
Statistics in medicine, v 33(29), pp 5177-5191
11 Aug 2014
PMID: 25112650
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
While there has been extensive research developing gene-environment interaction (GEI) methods in case-control studies, little attention has been given to sparse and efficient modeling of GEI in longitudinal studies. In a two-way table for GEI with rows and columns as categorical variables, a conventional saturated interaction model involves estimation of a specific parameter for each cell, with constraints ensuring identifiability. The estimates are unbiased but are potentially inefficient because the number of parameters to be estimated can grow quickly with increasing categories of row/column factors. On the other hand, Tukey’s one degree of freedom (df) model for non-additivity treats the interaction term as a scaled product of row and column main effects. Due to the parsimonious form of interaction, the interaction estimate leads to enhanced efficiency and the corresponding test could lead to increased power. Unfortunately, Tukey’s model gives biased estimates and low power if the model is misspecified. When screening multiple GEIs where each genetic and environmental marker may exhibit a distinct interaction pattern, a robust estimator for interaction is important for GEI detection. We propose a shrinkage estimator for interaction effects that combines estimates from both Tukey’s and saturated interaction models and use the corresponding Wald test for testing interaction in a longitudinal setting. The proposed estimator is robust to misspecification of interaction structure. We illustrate the proposed methods using two longitudinal studies — the Normative Aging Study and the Multi-Ethnic Study of Atherosclerosis.
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Details
- Title
- Testing Departure from Additivity in Tukey’s Model using Shrinkage: Application to a Longitudinal Setting
- Creators
- Yi-An Ko - University of Michigan–Ann ArborBhramar Mukherjee - University of Michigan–Ann ArborJennifer A. Smith - University of Michigan–Ann ArborSung Kyun Park - University of Michigan–Ann ArborSharon L.R. Kardia - University of Michigan–Ann ArborMatthew A. Allison - University of California, San DiegoPantel S. Vokonas - Boston UniversityJinbo Chen - University of PennsylvaniaAna V. Diez-Roux - Drexel University
- Publication Details
- Statistics in medicine, v 33(29), pp 5177-5191
- Publisher
- Wiley
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Urban Health Collaborative
- Web of Science ID
- WOS:000345017400011
- Scopus ID
- 2-s2.0-84920281730
- Other Identifier
- 991019168568504721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematical & Computational Biology
- Medical Informatics
- Medicine, Research & Experimental
- Public, Environmental & Occupational Health
- Statistics & Probability