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We study prediction-powered conditional inference in the setting where labeled data are scarce, unlabeled covariates are abundant, and a black-box machine-learning predictor is available. The goal is to perform statistical inference on…

Machine Learning · Statistics 2026-03-09 Yang Sui , Jin Zhou , Hua Zhou , Xiaowu Dai

This paper proposes a simple unified inference approach on moment restrictions in the presence of nuisance parameters. The proposed test is constructed based on a new characterization that avoids the estimation of nuisance parameters and…

Methodology · Statistics 2025-12-19 Xingyu Li , Xiaojun Song , Zhenting Sun

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…

Methodology · Statistics 2021-06-07 Molei Liu , Eugene Katsevich , Lucas Janson , Aaditya Ramdas

Leveraging external controls -- relevant individual patient data under control from external trials or real-world data -- has the potential to reduce the cost of randomized controlled trials (RCTs) while increasing the proportion of trial…

Methodology · Statistics 2022-07-13 Yanyao Yi , Ying Zhang , Yu Du , Ting Ye

Bonferroni's correction is a popular tool to address multiplicity but is notorious for its low power when tests are dependent. This paper proposes a practical modification of Bonferroni's correction when test statistics are jointly normal…

Methodology · Statistics 2026-02-24 Caleb Hiltunen , Yeonwoo Rho

Randomized controlled trials are the gold standard for causal inference and play a pivotal role in modern evidence-based medicine. However, the sample sizes they use are often too limited to draw significant causal conclusions for subgroups…

Methodology · Statistics 2024-04-26 Xi Lin , Jens Magelund Tarp , Robin J. Evans

Mixed linear models are commonly used in repeated measures studies. They account for the dependence amongst observations obtained from the same experimental unit. Oftentimes, the number of observations is small, and it is thus important to…

Methodology · Statistics 2011-08-05 Tatiane F. N. Melo , Silvia L. P. Ferrari , Francisco Cribari-Neto

Despite their importance in supporting experimental conclusions, standard statistical tests are often inadequate for research areas, like the life sciences, where the typical sample size is small and the test assumptions difficult to…

Methodology · Statistics 2011-04-15 Pietro Berkes , Jozsef Fiser

We consider the problem of hypothesis testing in the situation when the first hypothesis is simple and the second one is local one-sided composite. We describe the choice of the thresholds and the power functions of the Score Function test,…

Statistics Theory · Mathematics 2015-02-26 Serguei Dachian , Yury Kutoyants , Lin Yang

In this article, we develop methods for sample size and power calculations in four-level intervention studies when intervention assignment is carried out at any level, with a particular focus on cluster randomized trials (CRTs). CRTs…

Methodology · Statistics 2022-09-07 Xueqi Wang , Elizabeth L. Turner , John S. Preisser , Fan Li

In this paper we proposed the alternative test to the two independent and normally distributed samples t test based on the cross variance concept. We present the simulation results of the power and the error rate of the special case of the…

Methodology · Statistics 2015-01-27 Rohmatul Fajriyah

Particle physics experiments rely on the (generalised) likelihood ratio test (LRT) for searches and measurements, which consist of composite hypothesis tests. However, this test is not guaranteed to be optimal, as the Neyman-Pearson lemma…

High Energy Physics - Phenomenology · Physics 2025-11-21 James Carzon , Aishik Ghosh , Rafael Izbicki , Ann Lee , Luca Masserano , Daniel Whiteson

Finding optical setups producing measurement results with a targeted probability distribution is hard as a priori the number of possible experimental implementations grows exponentially with the number of modes and the number of devices. To…

Quantum Physics · Physics 2020-10-21 Alexey A. Melnikov , Pavel Sekatski , Nicolas Sangouard

Recently, the characterization based approach for the construction of goodness of fit tests has become popular. Most of the proposed tests have been designed for complete i.i.d. samples. Here we present the adaptation of the recently…

Methodology · Statistics 2021-08-11 Marija Cuparić , Bojana Milošević

Robust classification algorithms have been developed in recent years with great success. We take advantage of this development and recast the classical two-sample test problem in the framework of classification. Based on the estimates of…

Statistics Theory · Mathematics 2019-09-18 Haiyan Cai , Bryan Goggin , Qingtang Jiang

In nonstandard testing environments, researchers often derive ad hoc tests with correct (asymptotic) size, but their optimality properties are typically unknown a priori and difficult to assess. This paper develops a numerical framework for…

Econometrics · Economics 2025-12-24 Philipp Ketz , Adam McCloskey , Jan Scherer

Genetic investigations often involve the testing of vast numbers of related hypotheses simultaneously. To control the overall error rate, a substantial penalty is required, making it difficult to detect signals of moderate strength. To…

Methodology · Statistics 2010-10-25 Kathryn Roeder , Larry Wasserman

Inference-time sampling can elicit strong reasoning abilities from language models without additional training. Existing power-sampling methods do so by sharpening the distribution over full generated outputs, favoring completions that are…

Machine Learning · Computer Science 2026-05-28 Aleksei Arzhantsev , Otmane Sakhi , Nicolas Chopin

Bipartite experiments are a recent object of study in causal inference, whereby treatment is applied to one set of units and outcomes of interest are measured on a different set of units. These experiments are particularly useful in…

Conducting a randomization test is a common method for testing causal null hypotheses in randomized experiments. The popularity of randomization tests is largely because their statistical validity only depends on the randomization design,…

Methodology · Statistics 2025-01-15 Siyu Heng , Pamela A. Shaw
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