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This study considers testing the specification of spillover effects in causal inference. We focus on experimental settings in which the treatment assignment mechanism is known to researchers. We develop a new randomization test utilizing a…

Methodology · Statistics 2023-12-27 Tadao Hoshino , Takahide Yanagi

The gold standard for identifying causal relationships is a randomized controlled experiment. In many applications in the social sciences and medicine, the researcher does not control the assignment mechanism and instead may rely upon…

Applications · Statistics 2016-11-22 Johann Gagnon-Bartsch , Yotam Shem-Tov

Two-sample tests with censored outcomes are a classical topic in statistics with wide use even in cutting edge applications. There are at least two modes of inference used to justify two-sample tests. One is usual superpopulation inference…

Statistics Theory · Mathematics 2022-10-06 Xinran Li , Dylan S. Small

We analyze the effectiveness of working in pairs on the Conceptual Survey of Electricity and Magnetism test in a calculus-based introductory physics course. Students who collaborated with a peer showed significantly larger normalized gain…

Physics Education · Physics 2016-02-25 Chandralekha Singh

We derive randomization-based models for experiments with a chain of randomizations. The estimation theory for these models leads to formulae for the estimators of treatment effects, their standard errors, and expected mean squares in the…

Statistics Theory · Mathematics 2013-10-16 R. A. Bailey , C. J. Brien

Network interference amounts to the treatment status of one unit affecting the potential outcome of other units in the population. Testing for spillover effects in this setting makes the null hypothesis non-sharp. An interesting approach to…

Methodology · Statistics 2025-09-24 Supriya Tiwari , Pallavi Basu

Error bounds based on worst likely assignments use permutation tests to validate classifiers. Worst likely assignments can produce effective bounds even for data sets with 100 or fewer training examples. This paper introduces a statistic…

Machine Learning · Statistics 2015-04-02 Eric Bax

Recently Khmaladze has shown how to `rotate' one empirical process to another. This paper is the first to apply this transform when successive data points are generated by a single distributional family, but with covariates varying over the…

Applications · Statistics 2018-01-15 Leigh A Roberts

In observational causal inference, in order to emulate a randomized experiment, weights are used to render treatments independent of observed covariates. This property is known as balance; in its absence, estimated causal effects may be…

Methodology · Statistics 2020-07-16 David Arbour , Drew Dimmery , Arjun Sondhi

It is widely believed that one's peers influence product adoption behaviors. This relationship has been linked to the number of signals a decision-maker receives in a social network. But it is unclear if these same principles hold when the…

Social and Information Networks · Computer Science 2020-09-09 Soumajyoti Sarkar , Ashkan Aleali , Paulo Shakarian , Mika Armenta , Danielle Sanchez , Kiran Lakkaraju

To date, testing interactions in high dimensions has been a challenging task. Existing methods often have issues with sensitivity to modeling assumptions and heavily asymptotic nominal p-values. To help alleviate these issues, we propose a…

Machine Learning · Statistics 2012-06-29 Noah Simon , Robert Tibshirani

Classical two-sample permutation tests for equality of distributions have exact size in finite samples, but they fail to control size for testing equality of parameters that summarize each distribution. This paper proposes permutation tests…

Econometrics · Economics 2022-04-22 Marinho Bertanha , EunYi Chung

A fundamental limitation of causal inference in observational studies is that perceived evidence for an effect might instead be explained by factors not accounted for in the primary analysis. Methods for assessing the sensitivity of a…

Methodology · Statistics 2018-09-14 Colin B. Fogarty

We consider the problem of estimating social influence, the effect that a person's behavior has on the future behavior of their peers. The key challenge is that shared behavior between friends could be equally explained by influence or by…

Social and Information Networks · Computer Science 2022-04-05 Dhanya Sridhar , Caterina De Bacco , David Blei

New inference methods for the multivariate coefficient of variation and its reciprocal, the standardized mean, are presented. While there are various testing procedures for both parameters in the univariate case, it is less known how to do…

Methodology · Statistics 2020-03-31 Marc Ditzhaus , Łukas Smaga

While statistical learning methods have proved powerful tools for predictive modeling, the black-box nature of the models they produce can severely limit their interpretability and the ability to conduct formal inference. However, the…

Machine Learning · Statistics 2016-08-30 Lucas Mentch , Giles Hooker

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 $Z$.…

Statistics Theory · Mathematics 2023-04-14 Małgorzata Łazęcka , Bartosz Kołodziejek , Jan Mielniczuk

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…

Methodology · Statistics 2021-11-30 Tassilo Schwarz

Consider a population consisting of clusters of sampling units, evolving temporally, spatially, or according to other dynamics. We wish to monitor the evolution of its means, medians, or other parameters. For administrative convenience and…

Methodology · Statistics 2020-04-30 Jiahua Chen , Yukun Liu , James Zidek

In many psychometric applications, the relationship between the mean of an outcome and a quantitative covariate is too complex to be described by simple parametric functions; instead, flexible nonlinear relationships can be incorporated…

Methodology · Statistics 2023-02-28 Boyu Ren , Stuart R. Lipsitz , Garrett M. Fitzmaurice , Roger D. Weiss
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