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Randomized experiments have become important tools in empirical research. In a completely randomized treatment-control experiment, the simple difference in means of the outcome is unbiased for the average treatment effect, and covariate…

统计理论 · 数学 2021-01-01 Lihua Lei , Peng Ding

A major challenge in estimating treatment effects in observational studies is the reliance on untestable conditions such as the assumption of no unmeasured confounding. In this work, we propose an algorithm that can falsify the assumption…

统计方法学 · 统计学 2025-06-03 Rickard K. A. Karlsson , Jesse H. Krijthe

Randomized experiments have been the gold standard for drawing causal inference. The conventional model-based approach has been one of the most popular ways for analyzing treatment effects from randomized experiments, which is often carried…

统计方法学 · 统计学 2024-11-19 Tianyi Qu , Jiangchuan Du , Xinran Li

In this paper we study saturated fractions of factorial designs under the perspective of Algebraic Statistics. We define a criterion to check whether a fraction is saturated or not with respect to a given model. The proposed criterion is…

统计理论 · 数学 2013-05-01 Roberto Fontana , Fabio Rapallo , Maria-Piera Rogantin

For large classes of group testing problems, we derive lower bounds for the probability that all significant items are uniquely identified using specially constructed random designs. These bounds allow us to optimize parameters of the…

统计理论 · 数学 2022-02-17 Jack Noonan , Anatoly Zhigljavsky

The title refers to the Free Will Theorem by Conway and Kochen whose flashy formulation is: if experimenters possess free will, then so do particles. In more modest terms, the theorem says that individual pairs of spacelike separated…

量子物理 · 物理学 2021-04-14 Ehtibar N. Dzhafarov , Janne V. Kujala

Design-based causal inference, also known as randomization-based or finite-population causal inference, is one of the most widely used causal inference frameworks, largely due to the merit that its validity can be guaranteed by study design…

统计方法学 · 统计学 2025-05-27 Siyu Heng , Jiawei Zhang , Yang Feng

Regression adjustment is broadly applied in randomized trials under the premise that it usually improves the precision of a treatment effect estimator. However, previous work has shown that this is not always true. To further understand…

统计方法学 · 统计学 2022-10-11 Katarzyna Reluga , Ting Ye , Qingyuan Zhao

Experimental design is an approach for selecting samples among a given set so as to obtain the best estimator for a given criterion. In the context of linear regression, several optimal designs have been derived, each associated with a…

统计理论 · 数学 2021-01-01 Geovani Rizk , Igor Colin , Albert Thomas , Moez Draief

In this paper we define and examine the power of the {\em conditional-sampling} oracle in the context of distribution-property testing. The conditional-sampling oracle for a discrete distribution $\mu$ takes as input a subset $S \subset…

数据结构与算法 · 计算机科学 2014-04-09 Sourav Chakraborty , Eldar Fischer , Yonatan Goldhirsh , Arie Matsliah

We examine the conditions under which descriptive inference can be based directly on the observed distribution in a non-probability sample, under both the super-population and quasi-randomisation modelling approaches. Review of existing…

统计理论 · 数学 2018-10-02 Li-Chun Zhang

In quantum physics there are well-known situations when measurements of the same property in different contexts (under different conditions) have the same probability distribution, but cannot be represented by one and the same random…

神经元与认知 · 定量生物学 2020-06-02 Irina Basieva , Víctor H. Cervantes , Ehtibar N. Dzhafarov , Andrei Khrennikov

Motivated by the widespread adoption of large-scale A/B testing in industry, we propose a new experimentation framework for the setting where potential experiments are abundant (i.e., many hypotheses are available to test), and observations…

机器学习 · 统计学 2018-05-31 Sven Schmit , Virag Shah , Ramesh Johari

Conditional probabilities are a core concept in machine learning. For example, optimal prediction of a label $Y$ given an input $X$ corresponds to maximizing the conditional probability of $Y$ given $X$. A common approach to inference tasks…

机器学习 · 计算机科学 2017-08-09 Yoav Wald , Amir Globerson

Inspired by sample splitting and the reusable holdout introduced in the field of differential privacy, we consider selective inference with a randomized response. We discuss two major advantages of using a randomized response for model…

统计理论 · 数学 2016-12-01 Xiaoying Tian , Jonathan E. Taylor

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

Statistical hypothesis testing serves as statistical evidence for scientific innovation. However, if the reported results are intentionally biased, hypothesis testing no longer controls the rate of false discovery. In particular, we study…

统计方法学 · 统计学 2018-10-12 Junpei Komiyama , Takanori Maehara

Randomized field experiments are the gold standard for evaluating the impact of software changes on customers. In the online domain, randomization has been the main tool to ensure exchangeability. However, due to the different deployment…

软件工程 · 计算机科学 2022-04-26 David Issa Mattos , Yuchu Liu

Symmetry plays a central role in the sciences, machine learning, and statistics. While statistical tests for the presence of distributional invariance with respect to groups have a long history, tests for conditional symmetry in the form of…

统计方法学 · 统计学 2025-12-12 Kenny Chiu , Alex Sharp , Benjamin Bloem-Reddy

Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

机器学习 · 统计学 2017-12-05 Christopher Nowzohour , Peter Bühlmann