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Causal inference is best understood using potential outcomes. This use is particularly important in more complex settings, that is, observational studies or randomized experiments with complications such as noncompliance. The topic of this…

统计理论 · 数学 2007-06-13 Donald B. Rubin

We develop a design-based framework for causal inference that accommodates random potential outcomes without introducing outcome models, thereby extending the classical Neyman--Rubin paradigm in which outcomes are treated as fixed. By…

统计方法学 · 统计学 2026-01-14 Yukai Yang

Identifying causal effects is a key problem of interest across many disciplines. The two long-standing approaches to estimate causal effects are observational and experimental (randomized) studies. Observational studies can suffer from…

机器学习 · 计算机科学 2024-07-09 Sepehr Elahi , Sina Akbari , Jalal Etesami , Negar Kiyavash , Patrick Thiran

The well-known Simpson's Paradox, or Yule-Simpson Effect, in statistics is often illustrated by the following thought experiment: A drug may be found in a trial to increase the survival rate for both men and women, but decrease the rate for…

量子物理 · 物理学 2012-03-14 Yaoyun Shi

Randomized experiments have long been the gold standard for scientists seeking to learn about cause and effect. When randomized experiments are infeasible, scientists often resort to observational studies, which are widely available and…

统计方法学 · 统计学 2026-04-13 Bohan Wu , Sebastian Salazar , Donald P. Green , David M. Blei

An important issue raised by Efron in the context of large-scale multiple comparisons is that in many applications the usual assumption that the null distribution is known is incorrect, and seemingly negligible differences in the null may…

统计理论 · 数学 2007-06-13 Jiashun Jin , T. Tony Cai

We consider a causal effect that is confounded by an unobserved variable, but with observed proxy variables of the confounder. We show that, with at least two independent proxy variables satisfying a certain rank condition, the causal…

统计方法学 · 统计学 2018-06-29 Wang Miao , Zhi Geng , Eric Tchetgen Tchetgen

Randomized experiments are increasingly employed in two-sided markets, such as buyer--seller platforms, to evaluate the effects of marketplace interventions. These experiments must reflect the underlying two-sided market structure in their…

统计方法学 · 统计学 2026-03-30 Jizhou Liu , Azeem M. Shaikh , Panos Toulis

Randomized Controlled Trials are one of the pillars of science; nevertheless, they rely on hand-crafted hypotheses and expensive analysis. Such constraints prevent causal effect estimation at scale, potentially anchoring on popular yet…

机器学习 · 计算机科学 2026-01-07 Tommaso Mencattini , Riccardo Cadei , Francesco Locatello

Quantum three box paradox is a prototypical example of some bizarre predictions for intermediate measurements made on pre- and post-selected systems. Although in principle those effects can be explained by measurement disturbance, it is not…

量子物理 · 物理学 2022-01-19 Pawel Blasiak , Ewa Borsuk

Group-formation experiments, in which experimental units are randomly assigned to groups, are a powerful tool for studying peer effects in the social sciences. Existing design and analysis approaches allow researchers to draw inference from…

统计方法学 · 统计学 2021-03-02 Hui Xu , Guillaume Basse

In randomized experiments, treatment and control groups should be roughly the same--balanced--in their distributions of pretreatment variables. But how nearly so? Can descriptive comparisons meaningfully be paired with significance tests?…

统计方法学 · 统计学 2008-08-29 Ben B. Hansen , Jake Bowers

In several large-scale replication projects, statistically non-significant results in both the original and the replication study have been interpreted as a "replication success". Here we discuss the logical problems with this approach:…

统计方法学 · 统计学 2023-12-19 Samuel Pawel , Rachel Heyard , Charlotte Micheloud , Leonhard Held

The study of causality or causal inference - how much a given treatment causally affects a given outcome in a population - goes way beyond correlation or association analysis of variables, and is critical in making sound data driven…

数据库 · 计算机科学 2017-08-09 Sudeepa Roy , Babak Salimi

The case that the factor model does not account for all the covariances of the observed variables is considered. This is a quite realistic condition because some model error as well as some sampling error should usually occur with empirical…

应用统计 · 统计学 2015-12-18 Andre Beauducel

A different general philosophy, to be called Full Randomness (FR), for the analysis of random effects models is presented, involving a notion of reducing or preferably eliminating fixed effects, at least formally. For example, under FR…

统计方法学 · 统计学 2016-09-30 Norm Matloff

The notion of causal effect is fundamental across many scientific disciplines. Traditionally, quantitative researchers have studied causal effects at the level of variables; for example, how a certain drug dose (W) causally affects a…

统计方法学 · 统计学 2026-04-07 Junhyung Park , Yuqing Zhou

Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

统计方法学 · 统计学 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

计量经济学 · 经济学 2026-01-13 Jiawei Fu , Donald P. Green

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

统计方法学 · 统计学 2020-06-03 Hyunseung Kang , Youjin Lee , T. Tony Cai , Dylan S. Small