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Significant treatment effects are often emphasized when interpreting and summarizing empirical findings in studies that estimate multiple, possibly many, treatment effects. Under this kind of selective reporting, conventional treatment…

Econometrics · Economics 2025-12-11 Andreas Dzemski , Ryo Okui , Wenjie Wang

Randomization inference (RI) is typically interpreted as testing Fisher's "sharp" null hypothesis that all unit-level effects are exactly zero. This hypothesis is often criticized as restrictive and implausible, making its rejection…

Methodology · Statistics 2023-08-29 Devin Caughey , Allan Dafoe , Xinran Li , Luke Miratrix

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

Statistics Theory · Mathematics 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

Online A/B testing plays a critical role in the high-tech industry to guide product development and accelerate innovation. It performs a null hypothesis statistical test to determine which variant is better. However, a typical A/B test…

Methodology · Statistics 2021-09-03 Miao Yu , Wenbin Lu , Rui Song

In this paper, a new and convenient $\chi^2$ wald test based on MCMC outputs is proposed for hypothesis testing. The new statistic can be explained as MCMC version of Wald test and has several important advantages that make it very…

Econometrics · Economics 2018-01-04 Yong Li , Xiaobin Liu , Jun Yu , Tao Zeng

We consider the classical sequential binary hypothesis testing problem in which there are two hypotheses governed respectively by distributions $P_0$ and $P_1$ and we would like to decide which hypothesis is true using a sequential test. It…

Information Theory · Computer Science 2020-07-01 Yonglong Li , Vincent Y. F. Tan

Beyond conditional average treatment effects, treatments may impact the entire outcome distribution in covariate-dependent ways, for example, by altering the variance or tail risks for specific subpopulations. We propose a novel estimand to…

Machine Learning · Statistics 2026-03-18 Saksham Jain , Alex Luedtke

In this paper, we develop invariance-based procedures for testing and inference in high-dimensional regression models. These procedures, also known as randomization tests, provide several important advantages. First, for the global null…

Methodology · Statistics 2023-12-27 Wenxuan Guo , Panos Toulis

This paper considers testing the covariance matrices structure based on Wald's score test in large dimensional setting. The hypothesis $H_0: \Sigma =\Sigma_0 $ for a given matrix $\Sigma_0$, which covers the identity hypothesis test and…

Methodology · Statistics 2016-03-01 Dandan Jiang , QiBin Zhang

In health-related experiments, treatment effects can be identified using paired data that consist of pre- and post-treatment measurements. In this framework, sequential testing strategies are widely accepted statistical tools in practice.…

Methodology · Statistics 2018-12-24 Li Zou , Albert Vexler , Jihnhee Yu , Hongzhi Wan

Much of science is (rightly or wrongly) driven by hypothesis testing. Even in situations where the hypothesis testing paradigm is correct, the common practice of basing inferences solely on p-values has been under intense criticism for over…

Methodology · Statistics 2015-12-31 M. J. Bayarri , Daniel J. Benjamin , James O. Berger , Thomas M. Sellke

In clinical studies with paired organs, binary outcomes often exhibit intra-subject correlation and may include a mixture of unilateral and bilateral observations. Under Donner's constant correlation model, we develop three likelihood-based…

Methodology · Statistics 2025-10-22 Jia Zhou , Chang-Xing Ma

Experimentation is widely utilized for causal inference and data-driven decision-making across disciplines. In an A/B experiment, for example, an online business randomizes two different treatments (e.g., website designs) to their customers…

Methodology · Statistics 2025-01-15 Wenxuan Guo , JungHo Lee , Panos Toulis

Testing the equality of two high-dimensional mean vectors is a fundamental problem in multivariate analysis. While the classical Hotelling's $T^2$ test is optimal in low-dimensional settings, it fails when the dimension $p$ is comparable to…

Methodology · Statistics 2026-05-22 Minsub Shin , Kwangok Seo , Sang Han Lee , Johan Lim

In the hypothesis testing framework, p-value is often computed to determine rejection of the null hypothesis or not. On the other hand, Bayesian approaches typically compute the posterior probability of the null hypothesis to evaluate its…

Methodology · Statistics 2020-02-26 Guosheng Yin , Haolun Shi

In many fields of research null hypothesis significance tests and p values are the accepted way of assessing the degree of certainty with which research results can be extrapolated beyond the sample studied. However, there are very serious…

Methodology · Statistics 2020-01-14 Michael Wood

The class of composite likelihood functions provides a flexible and powerful toolkit to carry out approximate inference for complex statistical models when the full likelihood is either impossible to specify or unfeasible to compute.…

Methodology · Statistics 2013-06-25 Nicola Lunardon , Elvezio Ronchetti

The difference-in-differences (DID) research design is a key identification strategy which allows researchers to estimate causal effects under the parallel trends assumption. While the parallel trends assumption is counterfactual and cannot…

Methodology · Statistics 2026-05-12 Jonas M. Mikhaeil , Christopher Harshaw

Understanding the effect of a feature vector $x \in \mathbb{R}^d$ on the response value (label) $y \in \mathbb{R}$ is the cornerstone of many statistical learning problems. Ideally, it is desired to understand how a set of collected…

Machine Learning · Computer Science 2023-06-22 Mohammad Mehrabi , Ryan A. Rossi

Booming in business and a staple analysis in medical trials, the A/B test assesses the effect of an intervention or treatment by comparing its success rate with that of a control condition. Across many practical applications, it is…

Applications · Statistics 2020-11-16 Quentin F. Gronau , K. N. Akash Raj , Eric-Jan Wagenmakers