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Nevin Manimala Statistics

Generalized network structured models with mixed responses subject to measurement error and misclassification

Biometrics. 2022 Jan 15. doi: 10.1111/biom.13623. Online ahead of print.

ABSTRACT

Research of complex associations between a gene network and multiple responses has attracted extensive attention. A great challenge in analyzing genetic data is posited by the presence of the genetic network that is typically unknown in applications. Moreover, mismeasurement of responses introduces additional complexity to distort usual inferential procedures. In this paper, we consider the problem with mixed binary and continuous responses which are subject to mismeasurement and associated with complex structured covariates. We first start with the case where data are precisely measured. We propose a generalized network structured model and develop a two-step inferential procedure. In the first step, we employ a Gaussian graphical model to facilitate the covariates network structure, and in the second step, we incorporate the estimated graphical structure of covariates and develop an estimating equation method. Furthermore, we extend the development to accommodating mismeasured responses. We consider two cases where the information on mismeasurement is either known or estimated from a validation sample. Theoretical results are established and numerical studies are conducted to evaluate the finite sample performance of the proposed methods. We apply the proposed method to analyze the outbred Carworth Farms White mice data arising from a genome-wide association study. This article is protected by copyright. All rights reserved.

PMID:35032335 | DOI:10.1111/biom.13623

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