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We are in the middle of a remarkable rise in the use and capability of artificial intelligence. Much of this growth has been fueled by the success of deep learning architectures: models that map from observables to outputs via multiple…

应用统计 · 统计学 2017-01-02 Jason Hartford , Greg Lewis , Kevin Leyton-Brown , Matt Taddy

We derive inferential procedures for large sample sizes that remain valid under data-dependent significance levels (so-called "post-hoc valid inference"). Classical statistical tools require that the significance level -- the "type-I error"…

统计理论 · 数学 2026-03-10 Ben Chugg , Etienne Gauthier , Michael I. Jordan , Aaditya Ramdas , Ian Waudby-Smith

When an exposure of interest is confounded by unmeasured factors, an instrumental variable (IV) can be used to identify and estimate certain causal contrasts. Identification of the marginal average treatment effect (ATE) from IVs relies on…

统计方法学 · 统计学 2023-10-02 Alexander W. Levis , Matteo Bonvini , Zhenghao Zeng , Luke Keele , Edward H. Kennedy

Instrumental variable (IV) regression relies on instruments to infer causal effects from observational data with unobserved confounding. We consider IV regression in time series models, such as vector auto-regressive (VAR) processes. Direct…

统计方法学 · 统计学 2024-07-23 Nikolaj Thams , Rikke Søndergaard , Sebastian Weichwald , Jonas Peters

In the single IV model, current practice relies on the first-stage F exceeding some threshold (e.g., 10) as a criterion for trusting t-ratio inferences, even though this yields an anti-conservative test. We show that a true 5 percent test…

计量经济学 · 经济学 2020-10-15 David S. Lee , Justin McCrary , Marcelo J. Moreira , Jack Porter

We address the issue of the testability of instrumental variables derived from observational data. Most existing testable implications are centered on scenarios where the treatment is a discrete variable, e.g., instrumental inequality…

统计方法学 · 统计学 2026-03-13 Xichen Guo , Zheng Li , Biwei Huang , Yan Zeng , Zhi Geng , Feng Xie

Instrumental variables (IVs), sources of treatment randomization that are conditionally independent of the outcome, play an important role in causal inference with unobserved confounders. However, the existing IV-based counterfactual…

机器学习 · 计算机科学 2022-01-14 Junkun Yuan , Anpeng Wu , Kun Kuang , Bo Li , Runze Wu , Fei Wu , Lanfen Lin

In a causal graphical model, an instrument for a variable X and its effect Y is a random variable that is a cause of X and independent of all the causes of Y except X. (Pearl (1995), Spirtes et al (2000)). Instrumental variables can be used…

统计方法学 · 统计学 2013-01-14 Tianjiao Chu , Richard Scheines , Peter L. Spirtes

Reliable estimation of treatment effects from observational data is important in many disciplines such as medicine. However, estimation is challenging when unconfoundedness as a standard assumption in the causal inference literature is…

Most previous studies of the causal relationship between malaria and stunting have been studies where potential confounders are controlled via regression-based methods, but these studies may have been biased by unobserved confounders.…

应用统计 · 统计学 2015-11-11 Hyunseung Kang , Benno Kreuels , Jürgen May , Dylan S. Small

The instrumental variable (IV) approach is commonly used to infer causal effects in the presence of unmeasured confounding. Existing methods typically aim to estimate the mean causal effects, whereas a few other methods focus on quantile…

统计方法学 · 统计学 2025-03-13 Anastasiia Holovchak , Sorawit Saengkyongam , Nicolai Meinshausen , Xinwei Shen

Observational studies can play a useful role in assessing the comparative effectiveness of competing treatments. In a clinical trial the randomization of participants to treatment and control groups generally results in well-balanced groups…

Instrumental variable (IV) regression is a standard strategy for learning causal relationships between confounded treatment and outcome variables from observational data by utilizing an instrumental variable, which affects the outcome only…

机器学习 · 计算机科学 2023-06-28 Liyuan Xu , Yutian Chen , Siddarth Srinivasan , Nando de Freitas , Arnaud Doucet , Arthur Gretton

For settings with a binary treatment and a binary outcome, instrumental variables can be used to construct bounds on a causal treatment effect. With continuous outcomes, meaningful bounds are more difficult to obtain because the domain of…

统计方法学 · 统计学 2013-03-26 Tao Liu , Joseph W. Hogan

We consider the challenging problem of estimating causal effects from purely observational data in the bi-directional Mendelian randomization (MR), where some invalid instruments, as well as unmeasured confounding, usually exist. To address…

统计方法学 · 统计学 2024-07-15 Feng Xie , Zhen Yao , Lin Xie , Yan Zeng , Zhi Geng

A common practice in IV studies is to check for instrument strength, i.e. its association to the treatment, with an F-test from regression. If the F-statistic is above some threshold, usually 10, the instrument is deemed to satisfy one of…

统计方法学 · 统计学 2020-03-17 Nan Bi , Hyunseung Kang , Jonathan Taylor

Instrumental variable (IV) methods are widely used for estimating average treatment effects in the presence of unmeasured confounders. However, the capability of existing IV procedures, and most notably the two-stage residual inclusion…

Randomized Controlled Trials (RCTs) represent a gold standard when developing policy guidelines. However, RCTs are often narrow, and lack data on broader populations of interest. Causal effects in these populations are often estimated using…

机器学习 · 计算机科学 2023-03-07 Zeshan Hussain , Michael Oberst , Ming-Chieh Shih , David Sontag

Variable selection comprises an important step in many modern statistical inference procedures. In the regression setting, when estimators cannot shrink irrelevant signals to zero, covariates without relationships to the response often…

统计理论 · 数学 2025-03-28 Ka Long Keith Ho , Hien Duy Nguyen

The endogeneity issue is fundamentally important as many empirical applications may suffer from the omission of explanatory variables, measurement error, or simultaneous causality. Recently, \cite{hllt17} propose a "Deep Instrumental…

统计理论 · 数学 2020-05-01 Ruiqi Liu , Zuofeng Shang , Guang Cheng