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Statistical methods are indispensable to scientific inference. However, there exists a longstanding tension across a wide range of scientific disciplines about the role that ``context'' should play in the application of statistical methods…

Applications · Statistics 2026-04-06 Ashley I Naimi

The Jaccard similarity index has often been employed in science and technology as a means to quantify the similarity between two sets. When modified to operate on real-valued values, the Jaccard similarity index can be applied to compare…

Data Analysis, Statistics and Probability · Physics 2024-10-23 Gonzalo Travieso , Alexandre Benatti , Luciano da F. Costa

We propose a novel definition of selection bias in analytic epidemiology using potential outcomes. This definition captures selection bias under both the structural approach (where conditioning on selection into the study opens a noncausal…

Methodology · Statistics 2023-10-24 Eben Kenah

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

Methodology · Statistics 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

The positivity assumption is central in the identification of a causal effect, and especially the stochastic variant is an issue many applied researchers face, yet is rarely discussed, especially in conjunction with continuous treatments or…

Applications · Statistics 2026-02-03 Katharina Ring , Michael Schomaker

Statistics is sometimes described as the science of reasoning under uncertainty. Statistical models provide one view of this uncertainty, but what is frequently neglected is the 'invisible' portion of uncertainty: that assumed not to exist…

Methodology · Statistics 2026-03-18 Oliver L. Pescott , Robin J. Boyd , Gary D. Powney , Gavin B. Stewart

Estimating causal effects for survival outcomes in the high-dimensional setting is an extremely important topic for many biomedical applications as well as areas of social sciences. We propose a new orthogonal score method for treatment…

Methodology · Statistics 2024-12-04 Jue Hou , Jelena Bradic , Ronghui Xu

We present a general framework for using existing data to estimate the efficiency gain from using a covariate-adjusted estimator of a marginal treatment effect in a future randomized trial. We describe conditions under which it is possible…

Methodology · Statistics 2021-05-03 Xiudi Li , Sijia Li , Alex Luedtke

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

Methodology · Statistics 2022-03-25 Paul Patrone , Anthony Kearsley

Matched case-control studies are commonly employed in epidemiological research for their convenience and efficiency. Analysis of secondary outcomes can yield valuable insights into biological pathways and help identify genetic variants of…

Methodology · Statistics 2026-02-24 Shanshan Liu , Guoqing Diao

Meta-analysis is a statistical method used in evidence synthesis for combining, analyzing and summarizing studies that have the same target endpoint and aims to derive a pooled quantitative estimate using fixed and random effects models or…

Methodology · Statistics 2022-04-25 Ivette Raices Cruz , Matthias C. M. Troffaes , Johan Lindström , Ullrika Sahlin

Response-adaptive allocation designs refer to a class of designs where the probability an observation is assigned to a treatment is changed throughout an experiment based on the accrued responses. Such procedures result in random treatment…

Methodology · Statistics 2022-08-04 Adam Lane

We study user sentiment (reported via optional surveys) as a metric for fully randomized A/B tests. Both user-level covariates and treatment assignment can impact response propensity. We propose a set of consistent estimators for the…

Methodology · Statistics 2019-06-27 Ercan Yildiz , Joshua Safyan , Marc Harper

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. Most IV analyses use naturally occurring instruments, such as distance to a hospital. In these analyses, investigators must assume the…

Methodology · Statistics 2019-07-04 Zach Branson , Luke Keele

The sensitivities revealed by a sensitivity analysis of a probabilistic network typically depend on the entered evidence. For a real-life network therefore, the analysis is performed a number of times, with different evidence. Although…

Artificial Intelligence · Computer Science 2012-07-19 Silja Renooij , Linda C. van der Gaag

Density ratio estimation in high dimensions can be reframed as integrating a certain quantity, the time score, over probability paths which interpolate between the two densities. In practice, the time score has to be estimated based on…

Machine Learning · Computer Science 2025-06-13 Hanlin Yu , Arto Klami , Aapo Hyvärinen , Anna Korba , Omar Chehab

Randomized clinical trials are considered the gold standard for informing treatment guidelines, but results may not generalize to real-world populations. Generalizability is hindered by distributional differences in baseline covariates and…

Methodology · Statistics 2025-06-03 Rachael K. Ross , Ivan Diaz , Amy J. Pitts , Elizabeth A. Stuart , Kara E. Rudolph

Background: Although the missing covariate indicator method (MCIM) has been shown to be biased under extreme conditions, the degree and determinants of bias have not been formally assessed. We derived the formula for the relative bias in…

Applications · Statistics 2025-08-01 Gang Xu , Mingyang Song , Xin Zhou , Yilun Wu , Mathew Pazaris , Donna Spiegelman

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

The moments of random variables are fundamental statistical measures for characterizing the shape of a probability distribution, encompassing metrics such as mean, variance, skewness, and kurtosis. Additionally, the product moments,…

Methodology · Statistics 2025-05-09 Yuta Kawakami , Jin Tian