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In randomized experiments, treatment and control groups should be roughly the same--balanced--in their distributions of pretreatment variables. But how nearly so? Can descriptive comparisons meaningfully be paired with significance tests?…

Methodology · Statistics 2008-08-29 Ben B. Hansen , Jake Bowers

We develop a new kind of nonnegativity certificate for univariate polynomials on an interval. In many applications, nonnegative Bernstein coefficients are often used as a simple way of certifying polynomial nonnegativity. Our proposed…

Optimization and Control · Mathematics 2023-09-20 Mitchell Tong Harris , Pablo A. Parrilo

We consider a nonlinear polynomial regression model in which we wish to test the null hypothesis of structural stability in the regression parameters against the alternative of a break at an unknown time. We derive the extreme value…

Statistics Theory · Mathematics 2008-10-23 Alexander Aue , Lajos Horváth , Marie Hušková , Piotr Kokoszka

Economic models may exhibit incompleteness depending on whether or not they admit certain policy-relevant features such as strategic interaction, self-selection, or state dependence. We develop a novel test of model incompleteness and…

Econometrics · Economics 2023-09-08 Shuowen Chen , Hiroaki Kaido

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

We examine the problem of variance components testing in general mixed effects models using the likelihood ratio test. We account for the presence of nuisance parameters, i.e. the fact that some untested variances might also be equal to…

Methodology · Statistics 2024-05-27 Tom Guédon , Charlotte Baey , Estelle Kuhn

Pearson's chi-square tests are among the most commonly applied statistical tools across a wide range of scientific disciplines, including medicine, engineering, biology, sociology, marketing and business. However, its usage in some areas is…

Methodology · Statistics 2025-05-13 Vladimir Gurvich , Mariya Naumova

In testing of hypothesis the robustness of the tests is an important concern. Generally, the maximum likelihood based tests are most efficient under standard regularity conditions, but they are highly non-robust even under small deviations…

Methodology · Statistics 2018-05-01 Ayanendranath Basu , Abhijit Mandal , Nirian Martin , Leandro Pardo

We introduce a kernel-based goodness-of-fit test for censored data, where observations may be missing in random time intervals: a common occurrence in clinical trials and industrial life-testing. The test statistic is straightforward to…

Methodology · Statistics 2018-10-11 Tamara Fernández , Arthur Gretton

Although deep learning has demonstrated astonishing performance in many applications, there are still concerns about its dependability. One desirable property of deep learning applications with societal impact is fairness (i.e.,…

Machine Learning · Computer Science 2021-07-30 Peixin Zhang , Jingyi Wang , Jun Sun , Xinyu Wang , Guoliang Dong , Xingen Wang , Ting Dai , Jin Song Dong

Microvariations probe the physics and internal structure of quasars. Unpredictability and small flux variations make this phenomenon elusive and difficult to detect. Variance based probes such as the C and F tests, or a combination of both,…

Astrophysics of Galaxies · Physics 2015-06-22 José A. de Diego

We present a sequential testing method to identify a practically significant effect. We build on the existing mixture sequential probability ratio test (mSPRT) that can sequentially test for a non-zero treatment effect by using a truncated…

Methodology · Statistics 2025-09-10 Kyu Min Shim

This paper introduces an innovative method for conducting conditional independence testing in high-dimensional data, facilitating the automated discovery of significant associations within distinct subgroups of a population, all while…

Methodology · Statistics 2023-09-19 Matteo Sesia , Tianshu Sun

In the era of fast-paced precision medicine, observational studies play a major role in properly evaluating new treatments in clinical practice. Yet, unobserved confounding can significantly compromise causal conclusions drawn from…

Machine Learning · Statistics 2026-03-20 Piersilvio De Bartolomeis , Javier Abad , Konstantin Donhauser , Fanny Yang

This paper develops a consistent series-based specification test for semiparametric panel data models with fixed effects. The test statistic resembles the Lagrange Multiplier (LM) test statistic in parametric models and is based on a…

Econometrics · Economics 2019-09-13 Ivan Korolev

A family of maximum mean discrepancy (MMD) kernel two-sample tests is introduced. Members of the test family are called Block-tests or B-tests, since the test statistic is an average over MMDs computed on subsets of the samples. The choice…

Machine Learning · Computer Science 2014-02-11 Wojciech Zaremba , Arthur Gretton , Matthew Blaschko

This paper revisits the Lagrange multiplier type test for the null hypothesis of no cross-sectional dependence in large panel data models. We propose a unified test procedure and its power enhancement version, which show robustness for a…

Econometrics · Economics 2023-03-01 Zhenhong Huang , Zhaoyuan Li , Jianfeng Yao

Often the question arises whether $Y$ can be predicted based on $X$ using a certain model. Especially for highly flexible models such as neural networks one may ask whether a seemingly good prediction is actually better than fitting pure…

Methodology · Statistics 2024-04-30 Michał Ciszewski , Jakob Söhl , Ton Leenen , Bart van Trigt , Geurt Jongbloed

Graph-based tests are a class of non-parametric two-sample tests useful for analyzing high-dimensional data. The test statistics are constructed from similarity graphs (such as K-minimum spanning tree), and consequently, their performance…

Methodology · Statistics 2025-06-23 Yichuan Bai , Lynna Chu

We study exact confidence intervals and two-sided hypothesis tests for univariate parameters of stochastically increasing discrete distributions, such as the binomial and Poisson distributions. It is shown that several popular methods for…

Statistics Theory · Mathematics 2016-10-03 MÅns Thulin , Silvelyn Zwanzig
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