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Randomization inference is a widely-used and appealing approach for analyzing treatment effects in randomized experiments, as it is finite-sample valid and does not require any distributional assumptions. However, naive application of…

Econometrics · Economics 2026-05-12 Xinran Li , Peizan Sheng , Zeyang Yu

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…

Statistics Theory · Mathematics 2016-12-01 Xiaoying Tian , Jonathan E. Taylor

Fisherian randomization inference is often dismissed as testing an uninteresting and implausible hypothesis: the sharp null of no effects whatsoever. We show that this view is overly narrow. Many randomization tests are also valid under a…

Methodology · Statistics 2017-09-22 Devin Caughey , Allan Dafoe , Luke Miratrix

Nonparametric covariate adjustment is considered for log-rank type tests of treatment effect with right-censored time-to-event data from clinical trials applying covariate-adaptive randomization. Our proposed covariate-adjusted log-rank…

Methodology · Statistics 2023-01-23 Ting Ye , Jun Shao , Yanyao Yi

The sequential multiple assignment randomized trial (SMART) is the ideal study design for the evaluation of multistage treatment regimes, which comprise sequential decision rules that recommend treatments for a patient at each of a series…

Methodology · Statistics 2024-05-15 Anastasios A. Tsiatis , Marie Davidian

A benefit of randomized experiments is that covariate distributions of treatment and control groups are balanced on average, resulting in simple unbiased estimators for treatment effects. However, it is possible that a particular…

Methodology · Statistics 2019-02-01 Zach Branson , Luke Miratrix

In survival studies, classical inferences for left-truncated data require quasi-independence, a property that the joint density of truncation time and failure time is factorizable into their marginal densities in the observable region. The…

Methodology · Statistics 2019-04-16 Young-Geun Choi , Wei-Yann Tsai , Myunghee Cho Paik

Background: For RCTs with time-to-event endpoints, proportional hazard (PH) models are typically used to estimate treatment effects and logrank tests are commonly used for hypothesis testing. There is growing support for replacing this…

Methodology · Statistics 2024-12-10 Dominic Magirr , Craig Wang , Xinlei Deng , Tim Morris , Mark Baillie

Background: When planning a cluster randomized trial, evaluators often have access to an enumerated cohort representing the target population of clusters. Practicalities of conducting the trial, such as the need to oversample clusters with…

Methodology · Statistics 2024-09-19 Sarah E. Robertson , Jon A. Steingrimsson , Issa J. Dahabreh

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…

Methodology · Statistics 2025-06-12 Zhen Zhong

In multivariate pattern analysis of neuroimaging data, 'second-level' inference is often performed by entering classification accuracies into a $t$-test vs chance level across subjects. We argue that while the random-effects analysis…

Neurons and Cognition · Quantitative Biology 2016-08-11 Carsten Allefeld , Kai Görgen , John-Dylan Haynes

The promise of lifted probabilistic inference is to carry out probabilistic inference in a relational probabilistic model without needing to reason about each individual separately (grounding out the representation) by treating the…

Artificial Intelligence · Computer Science 2011-07-22 David Poole , Fahiem Bacchus , Jacek Kisynski

Randomized experiments are increasingly employed in two-sided markets, such as buyer--seller platforms, to evaluate the effects of marketplace interventions. These experiments must reflect the underlying two-sided market structure in their…

Methodology · Statistics 2026-03-30 Jizhou Liu , Azeem M. Shaikh , Panos Toulis

In many applications, different populations are compared using data that are sampled in a biased manner. Under sampling biases, standard methods that estimate the difference between the population means yield unreliable inferences. Here we…

Statistics Theory · Mathematics 2019-11-12 Dave Zachariah , Petre Stoica

We study the problem of conditional two-sample testing, which aims to determine whether two populations have the same distribution after accounting for confounding factors. This problem commonly arises in various applications, such as…

Machine Learning · Statistics 2026-05-05 Seongchan Lee , Suman Cha , Ilmun Kim

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…

Methodology · Statistics 2025-05-27 Siyu Heng , Jiawei Zhang , Yang Feng

The recent success of generative adversarial networks and variational learning suggests training a classifier network may work well in addressing the classical two-sample problem. Network-based tests have the computational advantage that…

Machine Learning · Statistics 2022-06-01 Xiuyuan Cheng , Alexander Cloninger

Two-sample inference for the difference of population means typically relies upon a Central Limit Theorem approximation. When data are drawn from a Negative Binomial distribution, previous work of Shilane et al. (2010) showed that a Normal…

Methodology · Statistics 2012-03-06 David Shilane , Derek Bean

A common assumption in causal inference is that random treatment assignment ensures that potential outcomes are independent of treatment, or in one word, unconfoundedness. This paper highlights that randomization and unconfoundedness are…

Methodology · Statistics 2021-07-30 Fredrik Sävje

Suppose a researcher observes individuals within a county within a state. Given concerns about correlation across individuals, it is common to group observations into clusters and conduct inference treating observations across clusters as…

Econometrics · Economics 2022-01-24 Yong Cai