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Many Mendelian randomization (MR) papers have been conducted only in people of European ancestry, limiting transportability of results to the global population. Expanding MR to diverse ancestry groups is essential to ensure equitable…

Mendelian randomization (MR) has been a popular method in genetic epidemiology to estimate the effect of an exposure on an outcome using genetic variants as instrumental variables (IV), with two-sample summary-data MR being the most…

Methodology · Statistics 2021-06-08 Sheng Wang , Hyunseung Kang

Mendelian randomization (MR) uses genetic variants as instrumental variables to make causal claims. Standard MR approaches typically report a single population-averaged estimate, limiting their ability to explore effect heterogeneity or…

Methodology · Statistics 2025-07-16 Stephen Burgess , Benjamin A R Woolf , Amy M Mason

Mendelian randomization (MR) is a natural experimental design based on the random transmission of genes from parents to offspring. However, this inferential basis is typically only implicit or used as an informal justification. As…

Methodology · Statistics 2023-04-19 Matthew J Tudball , George Davey Smith , Qingyuan Zhao

Mendelian randomization (MR) is a pivotal tool in genetics, genomics, and epidemiology, leveraging genetic variants as instrumental variables to infer causal relationships between exposures and outcomes. Traditional MR methods, while…

Methodology · Statistics 2026-01-15 Bitan Sarkar , Yuchao Jiang , Tian Ge , Yang Ni

Mendelian randomization (MR) is widely used to uncover causal relationships in the presence of unmeasured confounders. However, most existing MR methods presuppose linear causality, risking bias when the true relationships are nonlinear,…

Methodology · Statistics 2025-08-05 Xinpei Wang , Tao Huang , Jinzhu Jia

Two-sample testing is a fundamental problem in statistics. Despite its long history, there has been renewed interest in this problem with the advent of high-dimensional and complex data. Specifically, in the machine learning literature,…

Methodology · Statistics 2019-11-19 Ilmun Kim , Ann B. Lee , Jing Lei

Integrating data from multiple heterogeneous sources has become increasingly popular to achieve a large sample size and diverse study population. This paper reviews development in causal inference methods that combines multiple datasets…

Methodology · Statistics 2021-10-05 Xu Shi , Ziyang Pan , Wang Miao

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

A probabilistic expert system emulates the decision-making ability of a human expert through a directional graphical model. The first step in building such systems is to understand data generation mechanism. To this end, one may try to…

Methodology · Statistics 2021-09-29 Vahid Partovi Nia , Xinlin Li , Masoud Asgharian , Shoubo Hu , Zhitang Chen , Yanhui Geng

Modern longitudinal studies collect multiple outcomes as the primary endpoints to understand the complex dynamics of the diseases. Oftentimes, especially in clinical trials, the joint variations among the multidimensional responses play a…

Methodology · Statistics 2024-01-17 Salil Koner , Sheng Luo

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

A key challenge in building effective regression models for large and diverse populations is accounting for patient heterogeneity. An example of such heterogeneity is in health system risk modeling efforts where different combinations of…

Methodology · Statistics 2022-12-26 Jared D. Huling , Menggang Yu

We present a general framework for Bayesian inference of causal effects that delivers provably robust inferences founded on design-based randomization of treatments. The framework involves fixing the observed potential outcomes and forming…

Methodology · Statistics 2025-11-04 Easton Huch , Fred Feinberg , Walter Dempsey

Classical randomized experiments, equipped with randomization-based inference, provide assumption-free inference for treatment effects. They have been the gold standard for drawing causal inference and provide excellent internal validity.…

Methodology · Statistics 2021-09-22 Zihao Yang , Tianyi Qu , Xinran Li

Mendelian randomization is a powerful tool for inferring the presence, or otherwise, of causal effects from observational data. However, the nature of genetic variants is such that pleiotropy remains a barrier to valid causal effect…

Methodology · Statistics 2021-08-04 Andrew J. Grant , Stephen Burgess

Mediation analysis is a powerful tool for studying causal pathways between exposure, mediator, and outcome variables of interest. While classical mediation analysis using observational data often requires strong and sometimes unrealistic…

Methodology · Statistics 2024-05-20 Rita Qiuran Lyu , Chong Wu , Xinwei Ma , Jingshen Wang

Mendelian randomization (MR) is a widely-used method to estimate the causal relationship between a risk factor and disease. A fundamental part of any MR analysis is to choose appropriate genetic variants as instrumental variables.…

Methodology · Statistics 2023-04-26 Ashish Patel , Francis J. DiTraglia , Verena Zuber , Stephen Burgess

The doubly robust estimator, which models both the propensity score and outcomes, is a popular approach to estimate the average treatment effect in the potential outcome setting. The primary appeal of this estimator is its theoretical…

Methodology · Statistics 2024-09-11 Kaoru Babasaki , Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn

We expand Mendelian Randomization (MR) methodology to deal with randomly missing data on either the exposure or the outcome variable, and furthermore with data from nonindependent individuals (eg components of a family). Our method rests on…