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This paper uses model symmetries in the instrumental variable (IV) regression to derive an invariant test for the causal structural parameter. Contrary to popular belief, we show that there exist model symmetries when equation errors are…

统计理论 · 数学 2021-09-02 Marcelo J. Moreira , Mahrad Sharifvaghefi , Geert Ridder

This paper develops permutation versions of identification-robust tests in linear instrumental variables (IV) regression. Unlike the existing randomization and rank-based tests in which independence between the instruments and the error…

计量经济学 · 经济学 2024-07-24 Purevdorj Tuvaandorj

This paper studies optimal hypothesis testing for nonregular econometric models with parameter-dependent support. We consider both one-sided and two-sided hypothesis testing and develop asymptotically uniformly most powerful tests based on…

统计理论 · 数学 2025-10-07 Yuya Shimizu , Taisuke Otsu

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…

统计方法学 · 统计学 2021-06-08 Sheng Wang , Hyunseung Kang

The hypothesis of homogeneous treatment effects is central to the instrumental variables literature. This assumption signifies that treatment effects are constant across all subjects. It allows to interpret instrumental variable estimates…

计量经济学 · 经济学 2023-04-17 Jad Beyhum , Jean-Pierre Florens , Elia Lapenta , Ingrid Van Keilegom

This paper develops an empirical balancing approach for the estimation of treatment effects under two-sided noncompliance using a binary conditionally independent instrumental variable. The method weighs both treatment and outcome…

计量经济学 · 经济学 2020-07-10 Phillip Heiler

This paper considers inference in a linear instrumental variable regression model with many potentially weak instruments, in the presence of heterogeneous treatment effects. I first show that existing test procedures, including those that…

计量经济学 · 经济学 2025-04-24 Luther Yap

The linear instrumental variable (IV) model is widely used in observational studies, yet its validity hinges on strong assumptions. Classical specification tests such as the Sargan-Hansen J test are limited to overidentified settings and…

统计方法学 · 统计学 2026-04-21 Cyrill Scheidegger , Malte Londschien , Peter Bühlmann

Instrumental variable analysis is a widely used method to estimate causal effects in the presence of unmeasured confounding. When the instruments, exposure and outcome are not measured in the same sample, Angrist and Krueger (1992)…

统计理论 · 数学 2018-09-07 Qingyuan Zhao , Jingshu Wang , Jack Bowden , Dylan S. Small

Mendelian randomization (MR) has become a popular approach to study the effect of a modifiable exposure on an outcome by using genetic variants as instrumental variables. A challenge in MR is that each genetic variant explains a relatively…

统计方法学 · 统计学 2020-10-13 Ting Ye , Jun Shao , Hyunseung Kang

Parametric hypothesis testing associated with two independent samples arises frequently in several applications in biology, medical sciences, epidemiology, reliability and many more. In this paper, we propose robust Wald-type tests for…

统计方法学 · 统计学 2019-05-09 Abhik Ghosh , Nirian Martin , Ayanendranath Basu , Leandro Pardo

Weak-identification-robust tests for instrumental variable (IV) regressions are typically developed separately depending on whether the number of IVs is treated as fixed or increasing with the sample size, forcing researchers to make a…

计量经济学 · 经济学 2025-10-01 Dennis Lim , Wenjie Wang , Yichong Zhang

This paper proposes an overidentifying restriction test for high-dimensional linear instrumental variable models. The novelty of the proposed test is that it allows the number of covariates and instruments to be larger than the sample size.…

计量经济学 · 经济学 2024-05-08 Qingliang Fan , Zijian Guo , Ziwei Mei

Combining information from multiple samples is often needed in biomedical and economic studies, but the differences between these samples must be appropriately taken into account in the analysis of the combined data. We study estimation for…

统计方法学 · 统计学 2018-08-14 Heng Shu , Zhiqiang Tan

Empirical instrumental variables (IV) studies often report separate results based on low-dimensional instruments and many base instruments. This paper proposes a combination test that integrates these commonly reported statistics. The test…

计量经济学 · 经济学 2026-03-25 Liyu Dou , Pengjin Min , Wenjie Wang , Yichong Zhang

We propose a new adaptive hypothesis test for inequality (e.g., monotonicity, convexity) and equality (e.g., parametric, semiparametric) restrictions on a structural function in a nonparametric instrumental variables (NPIV) model. Our test…

计量经济学 · 经济学 2024-11-08 Christoph Breunig , Xiaohong Chen

We propose a weak-identification-robust test for linear instrumental variable (IV) regressions with high-dimensional instruments, whose number is allowed to exceed the sample size. In addition, our test is robust to general error…

计量经济学 · 经济学 2025-07-01 Qu Feng , Sombut Jaidee , Wenjie Wang

We introduce a new test for a two-sided hypothesis involving a subset of the structural parameter vector in the linear instrumental variables (IVs) model. Guggenberger et al. (2019), GKM19 from now on, introduce a subvector Anderson-Rubin…

计量经济学 · 经济学 2022-10-28 Patrik Guggenberger , Frank Kleibergen , Sophocles Mavroeidis

The STEP 1 randomized trial evaluated the effect of taking semaglutide vs placebo on body weight over a 68 week duration. As with any study evaluating an intervention delivered over a sustained period, non-adherence was observed. This was…

Instrumental variables are commonly used to estimate effects of a treatment afflicted by unmeasured confounding, and in practice instruments are often continuous (e.g., measures of distance, or treatment preference). However, available…

统计方法学 · 统计学 2018-07-05 Edward H. Kennedy , Scott A. Lorch , Dylan S. Small
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