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This paper develops a general causal inference method for treatment effects models with noisily measured confounders. The key feature is that a large set of noisy measurements are linked with the underlying latent confounders through an…

计量经济学 · 经济学 2021-10-14 Yingjie Feng

This paper develops a general framework for conducting inference on the rank of an unknown matrix $\Pi_0$. A defining feature of our setup is the null hypothesis of the form $\mathrm H_0: \mathrm{rank}(\Pi_0)\le r$. The problem is of first…

计量经济学 · 经济学 2019-03-26 Qihui Chen , Zheng Fang

This paper investigates how certain relationship between observed and counterfactual distributions serves as an identifying condition for treatment effects when the treatment is endogenous, and shows that this condition holds in a range of…

计量经济学 · 经济学 2023-11-28 Sukjin Han , Haiqing Xu

The objective of this paper is to develop statistical methodology for planning and evaluating three-armed non-inferiority trials for general retention of effect hypotheses, where the endpoint of interest may follow any (regular) parametric…

统计方法学 · 统计学 2009-12-22 M. Mielke , A. Munk

While there exists several inferential methods for analyzing functional data in factorial designs, there is a lack of statistical tests that are valid (i) in general designs, (ii) under non-restrictive assumptions on the data generating…

统计方法学 · 统计学 2023-06-28 Merle Munko , Marc Ditzhaus , Markus Pauly , Łukasz Smaga , Jin-Ting Zhang

For some variants of regression models, including partial, measurement error or error-in-variables, latent effects, semi-parametric and otherwise corrupted linear models, the classical parametric tests generally do not perform well. Various…

统计理论 · 数学 2015-03-25 Pranab K. Sen , Jana Jureckova , Jan Picek

Non-Negative Matrix Factorization (NMF) is a widely used dimension reduction method that factorizes a non-negative data matrix into two lower dimensional non-negative matrices: One is the basis or feature matrix which consists of the…

应用统计 · 统计学 2022-11-03 Yun Cai , Hong Gu , Toby Kenney

We consider the design and analysis of multi-factor experiments using fractional factorial and incomplete designs within the potential outcome framework. These designs are particularly useful when limited resources make running a full…

统计方法学 · 统计学 2022-01-31 Nicole E. Pashley , Marie-Abele C. Bind

With many pretreatment covariates and treatment factors, the classical factorial experiment often fails to balance covariates across multiple factorial effects simultaneously. Therefore, it is intuitive to restrict the randomization of the…

统计理论 · 数学 2018-12-31 Xinran Li , Peng Ding , Donald B. Rubin

A common method for deriving non-parametric tests is to reformulate a parametric test in terms of sample ranks. Despite being distribution free (even in finite samples), the resulting tests often display remarkable asymptotic power…

统计理论 · 数学 2022-08-10 Dan D. Erdmann-Pham , Jonathan Terhorst , Yun S. Song

This paper considers the practically important case of nonparametrically estimating heterogeneous average treatment effects that vary with a limited number of discrete and continuous covariates in a selection-on-observables framework where…

计量经济学 · 经济学 2019-08-26 Michael Zimmert , Michael Lechner

This paper studies the validity of nonparametric tests used in the regression discontinuity design. The null hypothesis of interest is that the average treatment effect at the threshold in the so-called sharp design equals a pre-specified…

统计方法学 · 统计学 2016-11-16 Vishal Kamat

While rankings are at the heart of social science research, little is known about how to analyze ranking data in experimental studies. This paper introduces a potential-outcomes framework to perform causal inference when outcome data are…

统计方法学 · 统计学 2023-01-12 Yuki Atsusaka

This paper studies inference in randomized controlled trials with multiple treatments, where treatment status is determined according to a "matched tuples" design. Here, by a matched tuples design, we mean an experimental design where units…

计量经济学 · 经济学 2023-11-06 Yuehao Bai , Jizhou Liu , Max Tabord-Meehan

Many studies include a goal of determining whether there is treatment effect heterogeneity across different subpopulations. In this paper, we propose a U-statistic-based non-parametric test of the null hypothesis that the treatment effects…

统计方法学 · 统计学 2020-12-08 Maozhu Dai , Hal S. Stern

How should researchers conduct causal inference when the outcome of interest is latent and measured imperfectly by multiple indicators? We develop a general nonparametric framework for identifying and estimating average treatment effects on…

统计方法学 · 统计学 2026-04-22 Jiawei Fu , Donald P. Green

We consider the problem of constructing nonparametric undirected graphical models for high-dimensional functional data. Most existing statistical methods in this context assume either a Gaussian distribution on the vertices or linear…

统计理论 · 数学 2021-03-22 Eftychia Solea , Holger Dette

Instrumental variable (IV) methods are widely used to infer treatment effects in the presence of unmeasured confounding. In this paper, we study nonparametric inference with an IV under a separable binary treatment choice model, which…

统计方法学 · 统计学 2026-02-03 Chan Park , Eric Tchetgen Tchetgen

Evaluating the value of new clinical treatment rules based on patient characteristics is important but often complicated by hidden confounding factors in observational studies. Standard methods for estimating the average patient outcome if…

统计方法学 · 统计学 2025-08-21 Johannes Hruza , Erin Gabriel , Arvid Sjölander , Samir Bhatt , Michael Sachs

Most work in causal inference considers deterministic interventions that set each unit's treatment to some fixed value. However, under positivity violations these interventions can lead to non-identification, inefficiency, and effects with…

统计方法学 · 统计学 2018-06-20 Edward H. Kennedy