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Randomized experiments are the preferred approach for evaluating the effects of interventions, but they are costly and often yield estimates with substantial uncertainty. On the other hand, in silico experiments leveraging foundation models…

We extend Fisher's randomization test (FRT) to test conditional independence between observed outcomes and treatments given covariates in both randomized experiments and observational studies, with no restriction on the variable type of…

统计方法学 · 统计学 2025-06-12 Zhen Zhong

Adapting the final sample size of a trial to the evidence accruing during the trial is a natural way to address planning uncertainty. Designs with adaptive sample size need to account for their optional stopping to guarantee strict type-I…

Randomized controlled trials are not only the golden standard in medicine and vaccine trials but have spread to many other disciplines like behavioral economics, making it an important interdisciplinary tool for scientists. When designing…

统计方法学 · 统计学 2021-11-30 Tassilo Schwarz

An inductive probabilistic classification rule must generally obey the principles of Bayesian predictive inference, such that all observed and unobserved stochastic quantities are jointly modeled and the parameter uncertainty is fully…

机器学习 · 统计学 2015-03-25 Henrik Nyman , Jie Xiong , Johan Pensar , Jukka Corander

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

统计方法学 · 统计学 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

We tackle the problem of conditioning probabilistic programs on distributions of observable variables. Probabilistic programs are usually conditioned on samples from the joint data distribution, which we refer to as deterministic…

机器学习 · 计算机科学 2021-03-09 David Tolpin , Yuan Zhou , Tom Rainforth , Hongseok Yang

We study properties of two resampling scenarios: Conditional Randomisation and Conditional Permutation schemes, which are relevant for testing conditional independence of discrete random variables $X$ and $Y$ given a random variable $Z$.…

统计理论 · 数学 2023-04-14 Małgorzata Łazęcka , Bartosz Kołodziejek , Jan Mielniczuk

Many causal questions involve interactions between units, also known as interference, for example between individuals in households, students in schools, or firms in markets. In this paper, we formalize the concept of a conditioning…

统计方法学 · 统计学 2018-09-25 Guillaume Basse , Avi Feller , Panos Toulis

Response-adaptive allocation designs refer to a class of designs where the probability an observation is assigned to a treatment is changed throughout an experiment based on the accrued responses. Such procedures result in random treatment…

统计方法学 · 统计学 2022-08-04 Adam Lane

Statistical methods are based on model assumptions, and it is statistical folklore that a method's model assumptions should be checked before applying it. This can be formally done by running one or more misspecification tests of model…

统计方法学 · 统计学 2023-04-18 M. Iqbal Shamsudheen , Christian Hennig

Rerandomization is a strategy of increasing efficiency as compared to complete randomization. The idea with rerandomization is that of removing allocations with imbalance in the observed covariates and then randomizing within the set of…

统计方法学 · 统计学 2019-11-07 Junni L. Zhang , Per Johansson

This paper explores the challenges of constructing suitable inferential models in scenarios where the parameter of interest is determined in light of the data, such as regression after variable selection. Two compelling arguments for…

统计理论 · 数学 2025-07-22 Daniel Garcia Rasines , G. Alastair Young

We present an optimized rerandomization design procedure for a non-sequential treatment-control experiment. Randomized experiments are the gold standard for finding causal effects in nature. But sometimes random assignments result in…

统计方法学 · 统计学 2021-01-26 Adam Kapelner , Abba M. Krieger , Michael Sklar , David Azriel

The aim of this paper is twofold. First, three theoretical principles are formalized: randomization, overrepresentation and restriction. We develop these principles and give a rationale for their use in choosing the sampling design in a…

统计方法学 · 统计学 2016-12-16 Yves Tillé , Matthieu Wilhelm

This paper considers the problem of inference in observational studies with time-varying adoption of treatment. In addition to an unconfoundedness assumption that the potential outcomes are independent of the times at which units adopt…

统计方法学 · 统计学 2021-08-27 Azeem Shaikh , Panos Toulis

We describe a design-based framework for drawing causal inference in general randomized experiments. Causal effects are defined as linear functionals evaluated at unit-level potential outcome functions. Assumptions about the potential…

统计方法学 · 统计学 2025-08-15 Christopher Harshaw , Fredrik Sävje , Yitan Wang

Randomized experiments on a network often involve interference between connected units; i.e., a situation in which an individual's treatment can affect the response of another individual. Current approaches to deal with interference, in…

统计方法学 · 统计学 2017-05-17 Guillaume Basse , Edoardo Airoldi

This paper studies inference in two-stage randomized experiments under covariate-adaptive randomization. In the initial stage of this experimental design, clusters (e.g., households, schools, or graph partitions) are stratified and randomly…

计量经济学 · 经济学 2026-01-16 Jizhou Liu

The design of scientific experiments deserves its own variation of formal verification to catch cases where scientists made important mistakes, such as forgetting to take confounding variables into account. One of the most fundamental…

编程语言 · 计算机科学 2026-04-27 Anna Zhang , Qinglan Luo , London Bielicke , Eunice Jun , Adam Chlipala