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For testing conditional independence (CI) of a response Y and a predictor X given covariates Z, the recently introduced model-X (MX) framework has been the subject of active methodological research, especially in the context of MX knockoffs…

统计理论 · 数学 2022-11-01 Eugene Katsevich , Aaditya Ramdas

Conditional independence (CI) testing is a fundamental task in modern statistics and machine learning. The conditional randomization test (CRT) was recently introduced to test whether two random variables, $X$ and $Y$, are conditionally…

机器学习 · 统计学 2024-12-19 Yanfeng Yang , Shuai Li , Yingjie Zhang , Zhuoran Sun , Hai Shu , Ziqi Chen , Renming Zhang

We consider testing multivariate conditional independence between a response Y and a covariate vector X given additional variables Z. We introduce the Multivariate Sufficient Statistic Conditional Randomization Test (MS-CRT), which…

统计方法学 · 统计学 2025-04-10 Xiaotong Lin , Jie Xie , Fangqiao Tian , Dongming Huang

We propose a new method named the Conditional Randomization Rank Test (CRRT) for testing conditional independence of a response variable Y and a covariate variable X, conditional on the rest of the covariates Z. The new method generalizes…

统计方法学 · 统计学 2021-12-02 Yanjie Zhong , Todd Kuffner , Soumendra Lahiri

Conditional independence tests are crucial across various disciplines in determining the independence of an outcome variable $Y$ from a treatment variable $X$, conditioning on a set of confounders $Z$. The Conditional Randomization Test…

统计方法学 · 统计学 2024-05-30 Bowen Xu , Yiwen Huang , Chuan Hong , Shuangning Li , Molei Liu

In many scientific problems, researchers try to relate a response variable $Y$ to a set of potential explanatory variables $X = (X_1,\dots,X_p)$, and start by trying to identify variables that contribute to this relationship. In statistical…

统计理论 · 数学 2020-10-07 Wenshuo Wang , Lucas Janson

We consider the problem of conditional independence testing: given a response Y and covariates (X,Z), we test the null hypothesis that Y is independent of X given Z. The conditional randomization test (CRT) was recently proposed as a way to…

统计方法学 · 统计学 2021-06-07 Molei Liu , Eugene Katsevich , Lucas Janson , Aaditya Ramdas

The conditional randomization test (CRT) was recently proposed to test whether two random variables X and Y are conditionally independent given random variables Z. The CRT assumes that the conditional distribution of X given Z is known…

机器学习 · 计算机科学 2023-04-11 Shuai Li , Ziqi Chen , Hongtu Zhu , Christina Dan Wang , Wang Wen

Model-X approaches to testing conditional independence between a predictor and an outcome variable given a vector of covariates usually assume exact knowledge of the conditional distribution of the predictor given the covariates.…

统计方法学 · 统计学 2023-02-10 Ziang Niu , Abhinav Chakraborty , Oliver Dukes , Eugene Katsevich

Conditional randomization tests (CRTs) assess whether a variable $x$ is predictive of another variable $y$, having observed covariates $z$. CRTs require fitting a large number of predictive models, which is often computationally…

统计方法学 · 统计学 2023-04-12 Mukund Sudarshan , Aahlad Manas Puli , Wesley Tansey , Rajesh Ranganath

Testing whether a variable of interest affects the outcome is one of the most fundamental problem in statistics and is often the main scientific question of interest. To tackle this problem, the conditional randomization test (CRT) is…

统计方法学 · 统计学 2023-05-26 Dae Woong Ham , Jiaze Qiu

We propose a general new method, the conditional permutation test, for testing the conditional independence of variables $X$ and $Y$ given a potentially high-dimensional random vector $Z$ that may contain confounding factors. The proposed…

统计方法学 · 统计学 2019-05-08 Thomas B. Berrett , Yi Wang , Rina Foygel Barber , Richard J. Samworth

Conditional independence testing is an important problem, yet provably hard without assumptions. One of the assumptions that has become popular of late is called "model-X", where we assume we know the joint distribution of the covariates,…

统计方法学 · 统计学 2020-07-14 Eugene Katsevich , Aaditya Ramdas

Stepped wedge cluster randomized trials (SW-CRTs) have become increasingly popular and are used for a variety of interventions and outcomes, often chosen for their feasibility advantages. SW-CRTs must account for time trends in the outcome…

统计方法学 · 统计学 2024-07-16 Lee Kennedy-Shaffer , Victor De Gruttola , Marc Lipsitch

Predictive models are often required to produce reliable predictions under statistical conditions that are not matched to the training data. A common type of training-testing mismatch is covariate shift, where the conditional distribution…

机器学习 · 计算机科学 2025-01-22 Matteo Zecchin , Fredrik Hellström , Sangwoo Park , Shlomo Shamai , Osvaldo Simeone

The model-X conditional randomization test is a generic framework for conditional independence testing, unlocking new possibilities to discover features that are conditionally associated with a response of interest while controlling type-I…

机器学习 · 计算机科学 2023-02-21 Shalev Shaer , Yaniv Romano

In this work, we proposed a novel inferential procedure assisted by machine learning based adjustment for randomized control trials. The method was developed under the Rosenbaum's framework of exact tests in randomized experiments with…

统计方法学 · 统计学 2024-07-23 Han Yu , Alan D. Hutson , Xiaoyi Ma

Response-adaptive designs allow the randomization probabilities to change during the course of a trial based on cumulated response data, so that a greater proportion of patients can be allocated to the better performing treatments. A major…

统计方法学 · 统计学 2020-06-03 David S. Robertson , James M. S. Wason

Confounding is a significant obstacle to unbiased estimation of causal effects from observational data. For settings with high-dimensional covariates -- such as text data, genomics, or the behavioral social sciences -- researchers have…

人工智能 · 计算机科学 2024-02-01 Katherine A. Keith , Sergey Feldman , David Jurgens , Jonathan Bragg , Rohit Bhattacharya

We consider robustness to distribution shifts in the context of diagnostic models in healthcare, where the prediction target $Y$, e.g., the presence of a disease, is causally upstream of the observations $X$, e.g., a biomarker. Distribution…

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