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Multivariable Mendelian randomization (MVMR) uses genetic variants as instrumental variables to infer the direct effects of multiple exposures on an outcome. However, unlike univariable Mendelian randomization, MVMR often faces greater…

Methodology · Statistics 2025-08-19 Yinxiang Wu , Hyunseung Kang , Ting Ye

Background: Mendelian randomization (MR) is a useful approach to causal inference from observational studies when randomised controlled trials are not feasible. However, study heterogeneity of two association studies required in MR is often…

Methodology · Statistics 2021-12-16 Linyi Zou , Hui Guo , Carlo Berzuini

Mendelian randomization is a widely-used method to estimate the unconfounded effect of an exposure on an outcome by using genetic variants as instrumental variables. Mendelian randomization analyses which use variants from a single genetic…

Methodology · Statistics 2024-02-20 Ashish Patel , Dipender Gill , Paul J. Newcombe , Stephen Burgess

Mendelian randomization (MR) is an instrumental variable (IV) approach to infer causal relationships between exposures and outcomes with genome-wide association studies (GWAS) summary data. However, the multivariable inverse-variance…

Methodology · Statistics 2024-02-13 Yihe Yang , Noah Lorincz-Comi , Xiaofeng Zhu

The method of multivariable Mendelian randomization uses genetic variants to instrument multiple exposures, to estimate the effect that a given exposure has on an outcome conditional on all other exposures included in a linear model.…

Methodology · Statistics 2024-08-20 Ashish Patel , James Lane , Stephen Burgess

Motivated by genetic association studies of pleiotropy, we propose here a Bayesian latent variable approach to jointly study multiple outcomes or phenotypes. The proposed method models both continuous and binary phenotypes, and it accounts…

Applications · Statistics 2012-11-08 Lizhen Xu , Radu V. Craiu , Lei Sun

Mendelian randomization (MR) is a widely used tool for causal inference in the presence of unmeasured confounders, which uses single nucleotide polymorphisms (SNPs) as instrumental variables to estimate causal effects. However, SNPs often…

Methodology · Statistics 2025-04-29 Ruoyu Wang , Haoyu Zhang , Xihong Lin

Developments in genome-wide association studies and the increasing availability of summary genetic association data have made the application of two-sample Mendelian Randomization (MR) with summary data increasingly popular. Conventional…

Methodology · Statistics 2023-02-22 Xinwei Ma , Jingshen Wang , Chong Wu

We consider inference from non-random samples in data-rich settings where high-dimensional auxiliary information is available both in the sample and the target population, with survey inference being a special case. We propose a regularized…

Methodology · Statistics 2021-04-13 Yutao Liu , Andrew Gelman , Qixuan Chen

Our approach to Mendelian Randomization (MR) analysis is designed to increase reproducibility of causal effect "discoveries" by: (i) using a Bayesian approach to inference; (ii) replacing the point null hypothesis with a region of practical…

Methodology · Statistics 2022-08-11 Linyi Zou , Teresa Fazia , Hui Guo , Carlo Berzuini

Estimating the causal effect of an exposure on an outcome is an important task in many economical and biological studies. Mendelian randomization, in particular, uses genetic variants as instruments to estimate causal effects in…

Methodology · Statistics 2017-06-06 Sai Li

Multilevel regression and poststratification (MRP) is a popular method for addressing selection bias in subgroup estimation, with broad applications across fields from social sciences to public health. In this paper, we examine the…

Methodology · Statistics 2023-03-06 Yajuan Si

Omics biomarkers play a pivotal role in personalized medicine by providing molecular-level insights into the etiology of diseases, guiding precise diagnostics, and facilitating targeted therapeutic interventions. Recent advancements in…

Applications · Statistics 2024-02-21 Minhao Yao , Zhonghua Liu

Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects…

Methodology · Statistics 2024-04-23 Kosuke Imai , Michael Lingzhi Li

Demographic models built from genetic data play important roles in illuminating prehistorical events and serving as null models in genome scans for selection. We introduce an inference method based on the joint frequency spectrum of genetic…

Populations and Evolution · Quantitative Biology 2010-05-10 Ryan N. Gutenkunst , Ryan D. Hernandez , Scott H. Williamson , Carlos D. Bustamante

Motivation: Mendelian randomization (MR) infers causal relationships between exposures and outcomes using genetic variants as instrumental variables. Typically, MR considers only a pair of exposure and outcome at a time, limiting its…

Applications · Statistics 2025-10-14 Bitan Sarkar , Yang Ni

Non-probability samples become increasingly popular in survey statistics but may suffer from selection biases that limit the generalizability of results to the target population. We consider integrating a non-probability sample with a…

Methodology · Statistics 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song

Integrating non-probability samples into finite-population inference typically requires modeling unknown selection probabilities under a missing-at-random (MAR) assumption that is difficult to verify. We propose a design-based alternative…

Methodology · Statistics 2026-05-08 Andrius Čiginas , Ieva Burakauskaitė , Jae Kwang Kim

Multivariable Mendelian Randomization (MVMR) estimates the direct causal effects of multiple risk factors on an outcome using genetic variants as instruments. The growing availability of summary-level genetic data has created opportunities…

Methodology · Statistics 2025-11-18 Yinxiang Wu , Neil M. Davies , Ting Ye

Missing data and confounding are two problems researchers face in observational studies for comparative effectiveness. Williamson et al. (2012) recently proposed a unified approach to handle both issues concurrently using a multiply-robust…

Methodology · Statistics 2020-07-22 Katherine Evans , Isabel Fulcher , Eric J. Tchetgen Tchetgen