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In this review, we present econometric and statistical methods for analyzing randomized experiments. For basic experiments we stress randomization-based inference as opposed to sampling-based inference. In randomization-based inference,…

Methodology · Statistics 2017-10-26 Susan Athey , Guido Imbens

Several statistical models are given in the form of unnormalized densities, and calculation of the normalization constant is intractable. We propose estimation methods for such unnormalized models with missing data. The key concept is to…

Machine Learning · Statistics 2020-06-11 Masatoshi Uehara , Takeru Matsuda , Jae Kwang Kim

We provide a general solution to a fundamental open problem in Bayesian inference, namely poor uncertainty quantification, from a frequency standpoint, of Bayesian methods in misspecified models. While existing solutions are based on…

Methodology · Statistics 2023-02-14 David T. Frazier , Robert Kohn , Christopher Drovandi , David Gunawan

Researchers addressing post-treatment complications in randomized trials often turn to principal stratification to define relevant assumptions and quantities of interest. One approach for estimating causal effects in this framework is to…

Methodology · Statistics 2016-06-09 Avi Feller , Fabrizia Mealli , Luke Miratrix

The experimental evaluation of algorithms results in a large set of data which generally do not follow a normal distribution or are not heteroscedastic. Besides, some of its entries may be missing, due to the inability of an algorithm to…

Machine Learning · Computer Science 2019-08-16 Iago A Carvalho

Classical randomized experiments, equipped with randomization-based inference, provide assumption-free inference for treatment effects. They have been the gold standard for drawing causal inference and provide excellent internal validity.…

Methodology · Statistics 2021-09-22 Zihao Yang , Tianyi Qu , Xinran Li

Nonresponse weighting adjustment using the response propensity score is a popular tool for handling unit nonresponse. Statistical inference after the nonresponse weighting adjustment is complicated because the effect of estimating the…

Methodology · Statistics 2017-02-14 Hejian Sang , Jae Kwang Kim

P-hacking poses challenges to traditional hypothesis testing. In this paper, we propose a robust method for the one-sample significance test that can protect against p-hacking from sample manipulation. Precisely, assuming a sequential…

Statistics Theory · Mathematics 2025-02-18 Xifeng Li , Shuzhen Yang , Jianfeng Yao

An artificial intelligence (AI) model can be viewed as a function that maps inputs to outputs in high-dimensional spaces. Once designed and well trained, the AI model is applied for inference. However, even optimized AI models can produce…

Artificial Intelligence · Computer Science 2026-02-27 Sha Hu

Accurate assessment of systematic uncertainties is an increasingly vital task in physics studies, where large, high-dimensional datasets, like those collected at the Large Hadron Collider, hold the key to new discoveries. Common approaches…

Methodology · Statistics 2025-10-02 Alexis Romero , Kyle Cranmer , Daniel Whiteson

International comparisons of hierarchical time series data sets based on survey data, such as annual country-level estimates of school enrollment rates, can suffer from large amounts of missing data due to differing coverage of surveys…

Methodology · Statistics 2025-03-31 Daphne H. Liu , Adrian E. Raftery

Reference based multiple imputation methods have become popular for handling missing data in randomised clinical trials. Rubin's variance estimator is well known to be biased compared to the reference based imputation estimator's true…

Methodology · Statistics 2021-04-30 Jonathan W. Bartlett

Permutation tests date back nearly a century to Fisher's randomized experiments, and remain an immensely popular statistical tool, used for testing hypotheses of independence between variables and other common inferential questions. Much of…

Methodology · Statistics 2022-12-05 Aaditya Ramdas , Rina Foygel Barber , Emmanuel J. Candes , Ryan J. Tibshirani

Randomized benchmarking (RB) protocols are standard tools for characterizing quantum devices. Prior analyses of RB protocols have not provided a complete method for analyzing realistic data, resulting in a variety of ad-hoc methods. The…

Quantum Physics · Physics 2018-02-02 Ian Hincks , Joel J. Wallman , Chris Ferrie , Chris Granade , David G. Cory

In observational studies, the propensity score plays a central role in estimating causal effects of interest. The inverse probability weighting (IPW) estimator is commonly used for this purpose. However, if the propensity score model is…

Methodology · Statistics 2025-03-21 Shunichiro Orihara , Tomotaka Momozaki , Tomoyuki Nakagawa

The simultaneous estimation of multiple unknown parameters lies at heart of a broad class of important problems across science and technology. Currently, the state-of-the-art performance in the such problems is achieved by nonparametric…

Statistics Theory · Mathematics 2023-05-30 Alton Barbehenn , Sihai Dave Zhao

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

Methodology · Statistics 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

This paper provides clear and practical guidance on the specification of imputation models when multiple imputation is used in conjunction with doubly robust estimation methods for causal inference. Through theoretical arguments and…

Methodology · Statistics 2025-12-19 Lucy D'Agostino McGowan

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

Bayesian methods are useful for statistical inference. However, real-world problems can be challenging using Bayesian methods when the data analyst has only limited prior knowledge. In this paper we consider a class of problems, called…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Lingsong Zhang , Chuanhai Liu