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A major challenge in instrumental variables (IV) analysis is to find instruments that are valid, or have no direct effect on the outcome and are ignorable. Typically one is unsure whether all of the putative IVs are in fact valid. We…

统计理论 · 数学 2017-08-10 Zijian Guo , Hyunseung Kang , T. Tony Cai , Dylan S. Small

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the…

计量经济学 · 经济学 2025-02-04 Jean-Yves Pitarakis

Causal inference concerns not only the average effect of the treatment on the outcome but also the underlying mechanism through an intermediate variable of interest. Principal stratification characterizes such a mechanism by targeting…

统计方法学 · 统计学 2022-03-29 Zhichao Jiang , Shu Yang , Peng Ding

Instrumental variable (IV) methods play a central role in causal inference, particularly in settings where treatment assignment is confounded by unobserved variables. IV methods have been extensively developed in recent years and applied…

One of the most fundamental problems in causal inference is the estimation of a causal effect when variables are confounded. This is difficult in an observational study, because one has no direct evidence that all confounders have been…

机器学习 · 统计学 2014-11-03 Ricardo Silva , Robin Evans

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

统计方法学 · 统计学 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

P-values are a mainstay in statistics but are often misinterpreted. We propose a new interpretation of p-value as a meaningful plausibility, where this is to be interpreted formally within the inferential model framework. We show that, for…

统计理论 · 数学 2014-10-28 Ryan Martin , Chuanhai Liu

We introduce a method for calculating \(p\)-values to test causal hypotheses in qualitative research \emph{a la} process tracing. As in an experiment, our \(p\)-value tells us how often one would make the same or more compelling…

统计方法学 · 统计学 2025-08-04 Matias Lopez , Jake Bowers

In a recent opinion article, Muff et al. recapitulate well-known objections to the Neyman-Pearson Null-Hypothesis Significance Testing (NHST) framework and call for reforming our practices in statistical reporting. We agree with them on…

定量方法 · 定量生物学 2022-05-30 Florian Hartig , Frédéric Barraquand

We consider identification and inference about a counterfactual outcome mean when there is unmeasured confounding using tools from proximal causal inference (Miao et al. [2018], Tchetgen Tchetgen et al. [2020]). Proximal causal inference…

统计方法学 · 统计学 2023-10-03 Jeffrey Zhang , Wei Li , Wang Miao , Eric Tchetgen Tchetgen

Propensity score methods are increasingly being used to reduce estimation bias of treatment effects for observational studies. Previous research has shown that propensity score methods consistently estimate the marginal hazard ratio for…

统计方法学 · 统计学 2019-11-19 Haodi Liang , Cecilia Cotton

An inferential model (IM) is a model describing the construction of provably reliable, data-driven uncertainty quantification and inference about relevant unknowns. IMs and Fisher's fiducial argument have similar objectives, but a…

统计理论 · 数学 2026-05-06 Ryan Martin

Notions of counterfactual invariance (CI) have proven essential for predictors that are fair, robust, and generalizable in the real world. We propose graphical criteria that yield a sufficient condition for a predictor to be…

机器学习 · 计算机科学 2024-08-12 Francesco Quinzan , Cecilia Casolo , Krikamol Muandet , Yucen Luo , Niki Kilbertus

To reach human level intelligence, learning algorithms need to incorporate causal reasoning. But identifying causality, and particularly counterfactual reasoning, remains elusive. In this paper, we make progress on counterfactual inference…

机器学习 · 统计学 2026-03-31 Marc Braun , Jose M. Peña , Adel Daoud

Causal inference with observational studies often suffers from unmeasured confounding, yielding biased estimators based on the unconfoundedness assumption. Sensitivity analysis assesses how the causal conclusions change with respect to…

统计方法学 · 统计学 2024-04-01 Sizhu Lu , Peng Ding

We study the problem of nonparametric instrumental variable regression with observed covariates, which we refer to as NPIV-O. Compared with standard nonparametric instrumental variable regression (NPIV), the additional observed covariates…

机器学习 · 统计学 2025-11-25 Zikai Shen , Zonghao Chen , Dimitri Meunier , Ingo Steinwart , Arthur Gretton , Zhu Li

A popular way to estimate the causal effect of a variable x on y from observational data is to use an instrumental variable (IV): a third variable z that affects y only through x. The more strongly z is associated with x, the more reliable…

In an attempt to provide an answer to the increasing criticism against p-values and to bridge the gap between statistical inference and prediction modelling, we introduce the probability of improved prediction (PIP). In general, the PIP is…

统计方法学 · 统计学 2024-05-28 Olivier Thas , Stijn Jaspers

Non-probability samples become increasingly popular in survey statistics but may suffer from selection biases that limit the generalizability of results to the target population. We consider integrating a non-probability sample with a…

统计方法学 · 统计学 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song

Unobserved confounders are a long-standing issue in causal inference using propensity score methods. This study proposed nonparametric indices to quantify the impact of unobserved confounders through pseudo-experiments with an application…

统计方法学 · 统计学 2020-08-27 Beilin Jia , Donglin Zeng , Qing Yang , Wei Pan