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A genome-wide association study (GWAS) correlates marker variation with trait variation in a sample of individuals. Each study subject is genotyped at a multitude of SNPs (single nucleotide polymorphisms) spanning the genome. Here we assume…

Machine Learning · Statistics 2019-01-14 Kevin L. Keys , Gary K. Chen , Kenneth Lange

Longitudinal data are commonly encountered in biomedical research, including randomized trials and retrospective cohort studies. Subjects are typically followed over a period of time and may be scheduled for follow-up at pre-determined time…

Methodology · Statistics 2025-10-23 George Stefan , Eleanor Pullenayegum

Anecdotally, using an estimated propensity score is superior to the true propensity score in estimating the average treatment effect based on observational data. However, this claim comes with several qualifications: it holds only if…

Methodology · Statistics 2023-04-03 Fangzhou Su , Wenlong Mou , Peng Ding , Martin J. Wainwright

Externally controlled single-arm trials are critical to assess treatment efficacy across therapeutic indications for which randomized controlled trials are not feasible. A closely-related research design, the unanchored indirect treatment…

Methodology · Statistics 2026-02-13 Harlan Campbell , Antonio Remiro-Azócar

Nonparametric estimators, such as the augmented inverse probability weighted (AIPW) estimator, have become increasingly popular in causal inference. Numerous nonparametric estimators have been proposed, but they are all asymptotically…

Statistics Theory · Mathematics 2026-02-17 Hongxiang Qiu

The results from Genome-Wide Association Studies (GWAS) on thousands of phenotypes provide an unprecedented opportunity to infer the causal effect of one phenotype (exposure) on another (outcome). Mendelian randomization (MR), an…

Methodology · Statistics 2019-04-30 Jia Zhao , Jingsi Ming , Xianghong Hu , Gang Chen , Jin Liu , Can Yang

Inverse propensity weighting (IPW) is a popular method for estimating treatment effects from observational data. However, its correctness relies on the untestable (and frequently implausible) assumption that all confounders have been…

Statistics Theory · Mathematics 2023-08-04 Jacob Dorn , Kevin Guo

A sample covariance matrix $\boldsymbol{S}$ of completely observed data is the key statistic in a large variety of multivariate statistical procedures, such as structured covariance/precision matrix estimation, principal component analysis,…

Methodology · Statistics 2021-04-20 Seongoh Park , Xinlei Wang , Johan Lim

There is a growing need for flexible general frameworks that integrate individual-level data with external summary information for improved statistical inference. External information relevant for a risk prediction model may come in…

Methodology · Statistics 2023-04-11 Tian Gu , Jeremy M. G. Taylor , Bhramar Mukherjee

Multivariate meta-analysis (MMA) is a powerful tool for jointly estimating multiple outcomes' treatment effects. However, the validity of results from MMA is potentially compromised by outcome reporting bias (ORB), or the tendency for…

Applications · Statistics 2021-10-19 Ray Bai , Xiaokang Liu , Lifeng Lin , Yulun Liu , Stephen E. Kimmel , Haitao Chu , Yong Chen

In observational studies, adjusting for confounders is required if a treatment comparison is planned. A crude comparison of the primary endpoint without covariate adjustment will suffer from biases, and the addition of regression models…

Methodology · Statistics 2026-02-11 Shiyu Shu , Toshimitsu Hamasaki , Scott Evans , Lauren Komarow , David van Duin , Guoqing Diao

A two-layer neural network model that systematically includes correlations among input variables to arbitrary order and is designed to implement Bayes inference has been adapted to classify breast cancer tumors as malignant or benign,…

Machine Learning · Computer Science 2019-12-17 Aditya Cowsik , John W. Clark

Imbalances in covariates between treatment groups are frequent in observational studies and can lead to biased comparisons. Various adjustment methods can be employed to correct these biases in the context of multi-level treatments ($>$ 2).…

Applications · Statistics 2021-06-04 Diop S. Arona , Duchesne Thierry , Cumming Steven , Diop Awa , Talbot Denis

Causal or unconfounded descriptive comparisons between multiple groups are common in observational studies. Motivated from a racial disparity study in health services research, we propose a unified propensity score weighting framework, the…

Methodology · Statistics 2019-07-10 Fan Li , Fan Li

We study semisupervised mean estimation with a small labeled sample, a large unlabeled sample, and a black-box prediction model whose output may be miscalibrated. A standard approach in this setting is augmented inverse-probability…

Machine Learning · Statistics 2026-04-24 Lars van der Laan , Mark Van Der Laan

Interference occurs when the treatment (or exposure) of one individual affects the outcomes of others. In some settings it may be reasonable to assume individuals can be partitioned into clusters such that there is no interference between…

Methodology · Statistics 2018-06-21 Lan Liu , Michael G. Hudgens , Bradley Saul , John D. Clemens , Mohammad Ali , Michael E. Emch

The gold standard for causal model evaluation involves comparing model predictions with true effects estimated from randomized controlled trials (RCT). However, RCTs are not always feasible or ethical to perform. In contrast, conditionally…

Machine Learning · Computer Science 2023-11-06 Chao Ma , Cheng Zhang

Bias in causal comparisons has a direct correspondence with distributional imbalance of covariates between treatment groups. Weighting strategies such as inverse propensity score weighting attempt to mitigate bias by either modeling the…

Methodology · Statistics 2022-03-14 Jared D. Huling , Simon Mak

Biomedical studies have a common interest in assessing relationships between multiple related health outcomes and high-dimensional predictors. For example, in reproductive epidemiology, one may collect pregnancy outcomes such as length of…

Applications · Statistics 2011-11-24 Bin Zhu , David B. Dunson , Allison E. Ashley-Koch

This paper develops an updatable inverse probability weighting (UIPW) estimation for the generalized linear models with response missing at random in streaming data sets. A two-step online updating algorithm is provided for the proposed…

Statistics Theory · Mathematics 2023-10-10 Xianhua Zhang , Lu lin , Qihua Wang
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