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Genome-wide association studies, in which as many as a million single nucleotide polymorphisms (SNP) are measured on several thousand samples, are quickly becoming a common type of study for identifying genetic factors associated with many…

Methodology · Statistics 2010-10-25 Charles Kooperberg , Michael LeBlanc , James Y. Dai , Indika Rajapakse

The general idea of this article is to develop a Bayesian model with a flexible link function connecting an exponential family treatment response to a linear combination of covariates and a treatment indicator and the interaction between…

Methodology · Statistics 2022-05-05 Hyung Park , Danni Wu , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

Instrumental variable methods are widely used to address unmeasured confounding, yet much of the existing literature has focused on the binary instrument setting. Extensions to continuous instruments often impose strong parametric…

Methodology · Statistics 2025-08-12 Zhenghao Zeng , Alexander W. Levis , JungHo Lee , Edward H. Kennedy , Luke Keele

Genetic interaction measures how different genes collectively contribute to a phenotype, and can reveal functional compensation and buffering between pathways under genetic perturbations. Recently, genome-wide screening for genetic…

Molecular Networks · Quantitative Biology 2015-03-17 Gang Fang , Wen Wang , Vanja Paunic , Benjamin Oately , Majda Haznadar , Michael Steinbach , Brian Van Ness , Chad L. Myers , Vipin Kumar

It is of great interest to quantify the contributions of genetic variation to brain structure and function, which are usually measured by high-dimensional imaging data (e.g., magnetic resonance imaging). In addition to the variance, the…

Applications · Statistics 2020-05-05 Benjamin B. Risk , Hongtu Zhu

We propose a comprehensive framework for additive regression models for non-Gaussian functional responses, allowing for multiple (partially) nested or crossed functional random effects with flexible correlation structures for, e.g.,…

Methodology · Statistics 2016-05-09 Fabian Scheipl , Jan Gertheiss , Sonja Greven

Genetic association studies have been a popular approach for assessing the association between common Single Nucleotide Polymorphisms (SNPs) and complex diseases. However, other genomic data involved in the mechanism from SNPs to disease,…

Applications · Statistics 2014-04-28 Yen-Tsung Huang , Tyler J. VanderWeele , Xihong Lin

This paper develops tools to characterize how species are affected by environmental variability, based on a functional single index model relating a response such as growth rate or survival to environmental conditions. In ecology, the…

Methodology · Statistics 2019-12-17 Zi Ye , Giles Hooker , Stephen Ellner

Physical activity is crucial for human health. With the increasing availability of large-scale mobile health data, strong associations have been found between physical activity and various diseases. However, accurately capturing this…

Applications · Statistics 2025-01-03 Xiaojing Sun , Bingxin Zhao , Fei Xue

Data can be assumed to be continuous functions defined on an infinite-dimensional space for many phenomena. However, the infinite-dimensional data might be driven by a small number of latent variables. Hence, factor models are relevant for…

Methodology · Statistics 2022-05-18 Israel Martínez-Hernández , Jesús Gonzalo , Graciela González-Farías

Dynamic prediction of causal effects under different treatment regimes conditional on an individual's characteristics and longitudinal history is an essential problem in precision medicine. This is challenging in practice because outcomes…

Methodology · Statistics 2023-03-07 Yizhen Xu , Jisoo Kim , Laura K. Hummers , Ami A. Shah , Scott Zeger

We develop a Gaussian-process mixture model for heterogeneous treatment effect estimation that leverages the use of transformed outcomes. The approach we will present attempts to improve point estimation and uncertainty quantification…

Methodology · Statistics 2018-12-19 Abbas Zaidi , Sayan Mukherjee

We propose a Bayesian nonparametric (BNP) approach to causal inference using observational data consisting of outcome, treatment, and a set of confounders. The conditional distribution of the outcome given treatment and confounders is…

Methodology · Statistics 2025-12-01 Yongseok Hur , Joonhyuk Jung , Juhee Lee

In the low-dimensional case, the generalized additive coefficient model (GACM) proposed by Xue and Yang [Statist. Sinica 16 (2006) 1423-1446] has been demonstrated to be a powerful tool for studying nonlinear interaction effects of…

Statistics Theory · Mathematics 2015-10-15 Shujie Ma , Raymond J. Carroll , Hua Liang , Shizhong Xu

The varying-coefficient model is an important nonparametric statistical model that allows us to examine how the effects of covariates vary with exposure variables. When the number of covariates is big, the issue of variable selection…

Statistics Theory · Mathematics 2013-03-05 Jianqing Fan , Yunbei Ma , Wei Dai

Determining the relevant spatial covariates is one of the most important problems in the analysis of point patterns. Parametric methods may lead to incorrect conclusions, especially when the model of interactions between points is wrong.…

Methodology · Statistics 2022-10-12 Jiří Dvořák , Tomáš Mrkvička

It is becoming increasingly clear that complex interactions among genes and environmental factors play crucial roles in triggering complex diseases. Thus, understanding such interactions is vital, which is possible only through statistical…

Applications · Statistics 2020-05-04 Durba Bhattacharya , Sourabh Bhattacharya

In the present paper we consider the varying coefficient model which represents a useful tool for exploring dynamic patterns in many applications. Existing methods typically provide asymptotic evaluation of precision of estimation…

Statistics Theory · Mathematics 2013-02-07 Olga Klopp , Marianna Pensky

In recent years, research interest in personalised treatments has been growing. However, treatment effect heterogeneity and possibly time-varying treatment effects are still often overlooked in clinical studies. Statistical tools are needed…

Methodology · Statistics 2023-10-27 Caterina Gregorio , Giovanni Baj , Giulia Barbati , Francesca Ieva

Evaluating the causal health effects of multivariate, continuous exposures, such as air pollution mixtures, is a critical public health challenge. A primary obstacle is the frequent violation of the positivity assumption, which renders the…

Methodology · Statistics 2026-05-05 Zhuochao Huang , Kejin Dong , Tuo Lin , Joseph Antonelli