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Exclusion and shape restrictions play a central role in defining causal effects and interpreting estimates in potential outcomes models. To date, the testable implications of such restrictions have been studied on a case-by-case basis in a…

计量经济学 · 经济学 2025-12-25 Hiroaki Kaido , Kirill Ponomarev

There is wide interest in studying how the distribution of a continuous response changes with a predictor. We are motivated by environmental applications in which the predictor is the dose of an exposure and the response is a health…

统计方法学 · 统计学 2018-05-10 Antonio Canale , Daniele Durante , David Dunson

Statistical inference on the explained variation of an outcome by a set of covariates is of particular interest in practice. When the covariates are of moderate to high-dimension and the effects are not sparse, several approaches have been…

统计方法学 · 统计学 2022-01-24 Hua Yun Chen

The Box-Cox transformation is applied to the linear mixed models for analyzing positive and grouped data. The problem in using Box Cox transformation is that the maximum likelihood estimator of the transformation parameter is generally…

统计方法学 · 统计学 2016-09-07 Shonosuke Sugasawa , Tatsuya Kubokawa

Mediation analysis seeks to infer how much of the effect of an exposure on an outcome can be attributed to specific pathways via intermediate variables or mediators. This requires identification of so-called path-specific effects. These…

统计方法学 · 统计学 2019-06-06 Johan Steen , Stijn Vansteelandt

The health effects of environmental exposures have been studied for decades, typically using standard regression models to assess exposure-outcome associations found in observational non-experimental data. We propose and illustrate a…

应用统计 · 统计学 2017-09-20 Marie-Abele C. Bind , Donald B. Rubin

We present a novel approach for the analysis of multivariate case-control georeferenced data using Bayesian inference in the context of disease mapping, where the spatial distribution of different types of cancers is analyzed. Extending…

This paper deals with the problem of evaluating the causal effect using observational data in the presence of an unobserved exposure/ outcome variable, when cause-effect relationships between variables can be described as a directed acyclic…

统计方法学 · 统计学 2012-06-18 Manabu Kuroki , Zhihong Cai

We introduce a framework for estimating causal effects of binary and continuous treatments in high dimensions. We show how posterior distributions of treatment and outcome models can be used together with doubly robust estimators. We…

统计方法学 · 统计学 2020-10-06 Joseph Antonelli , Georgia Papadogeorgou , Francesca Dominici

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

统计方法学 · 统计学 2024-02-14 David Strieder , Mathias Drton

Often linear regression is used to perform mediation analysis. However, in many instances, the underlying relationships may not be linear, as in the case of placental-fetal hormones and fetal development. Although, the exact functional form…

统计方法学 · 统计学 2023-10-16 Qing Yin , Jong-Hyeon Jeong , Xu Qin , Shyamal D Peddada , Jennifer Adibi

Mediation analysis is widely used in health science research to evaluate the extent to which an intermediate variable explains an observed exposure-outcome relationship. However, the validity of analysis can be compromised when the exposure…

统计方法学 · 统计学 2025-03-06 Chao Cheng , Donna Spiegelman , Fan Li

Many research questions -- particularly those in environmental health -- do not involve binary exposures. In environmental epidemiology, this includes multivariate exposure mixtures with nondiscrete components. Causal inference estimands…

Bidirectional causal relationships arising from mutual interactions between variables are commonly observed within biomedical, econometrical, and social science contexts. When such relationships are further complicated by unobserved…

统计方法学 · 统计学 2026-01-27 Yafang Deng , Kang Shuai , Shanshan Luo

Infectious disease forecasting for ongoing epidemics has been traditionally performed, communicated, and evaluated as numerical targets - 1, 2, 3, and 4 week ahead cases, deaths, and hospitalizations. While there is great value in…

应用统计 · 统计学 2022-11-15 Ajitesh Srivastava , Satwant Singh , Fiona Lee

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.…

Here, we explain and illustrate a geometric perspective on causal inference in cohort studies that can help epidemiologists understand the role of standardization in causal inference as well as the distinctions between confounding, effect…

统计理论 · 数学 2025-06-27 Eben Kenah

Transforming a random variable to improve its normality leads to a followup test for whether the transformed variable follows a normal distribution. Previous work has shown that the Anderson Darling test for normality suffers from…

统计方法学 · 统计学 2024-09-23 Douglas M Hawkins

Generalized linear models, such as logistic regression, are widely used to model the association between a treatment and a binary outcome as a function of baseline covariates. However, the coefficients of a logistic regression model…

统计方法学 · 统计学 2022-01-04 Jiaqi Yin , Sonia Markes , Thomas S. Richardson , Linbo Wang

For statistical inference on regression models with a diverging number of covariates, the existing literature typically makes sparsity assumptions on the inverse of the Fisher information matrix. Such assumptions, however, are often…

统计方法学 · 统计学 2021-06-08 Lu Xia , Bin Nan , Yi Li
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