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We propose two model-free, permutation-based tests of independence between a pair of random variables. The tests can be applied to samples from any bivariate distribution: continuous, discrete or mixture of those, with light tails or heavy…

统计方法学 · 统计学 2022-05-16 Jiří Dvořák , Tomáš Mrkvička

The comparison of proportions is considered in the asymptotic generalized linear model with the odds ratio as effect size. When several doses are compared with a control assuming an order restriction, a Williams-type trend test can be used.…

应用统计 · 统计学 2020-11-30 Ludwig A. Hothorn

In this paper, we propose a new test for checking the parametric form of the conditional variance based on distance covariance in nonlinear and nonparametric regression models. Inherit from the nice properties of distance covariance, our…

统计方法学 · 统计学 2022-05-19 Yue Hu , Haiqi Li , Falong Tan

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. Most IV analyses use naturally occurring instruments, such as distance to a hospital. In these analyses, investigators must assume the…

统计方法学 · 统计学 2019-07-04 Zach Branson , Luke Keele

In this article, we consider the complete independence test of high-dimensional data. Based on Chatterjee coefficient, we pioneer the development of quadratic test and extreme value test which possess good testing performance for…

统计理论 · 数学 2024-09-17 Liqi Xia , Ruiyuan Cao , Jiang Du , Jun Dai

A number of biomedical problems require performing many hypothesis tests, with an attendant need to apply stringent thresholds. Often the data take the form of a series of predictor vectors, each of which must be compared with a single…

统计方法学 · 统计学 2014-05-13 Yi-Hui Zhou , Fred Wright

Two-sample tests for multivariate data and non-Euclidean data are widely used in many fields. Parametric tests are mostly restrained to certain types of data that meets the assumptions of the parametric models. In this paper, we study a…

统计方法学 · 统计学 2018-05-01 Hao Chen , Xu Chen , Yi Su

We propose an alternative to the Turing test that removes the inherent asymmetry between humans and machines in Turing's original imitation game. In this new test, both humans and machines judge each other. We argue that this makes the test…

人工智能 · 计算机科学 2022-05-12 Toby Walsh

Given the well-known and fundamental problems with hypothesis testing via classical (point-form) significance tests, there has been a general move to alternative approaches, often focused on the Bayesian t-test. We show that the Bayesian…

统计理论 · 数学 2022-11-07 Fintan Costello , Paul Watts

In this paper, we address the problem of two-sample testing in the presence of missing data under a variety of missingness mechanisms. Our focus is on the well-known energy distance-based two-sample test. In addition to the standard…

统计方法学 · 统计学 2025-08-18 Danijel G. Aleksić , Bojana Milošević

In clinical trials studying paired parts of a subject with binary outcomes, it is expected to collect measurements bilaterally. However, there are cases where subjects contribute measurements for only one part. By utilizing combined data,…

应用统计 · 统计学 2024-03-06 Shuyi Liang , Kai-Tai Fang , Xin-Wei Huang , Yijing Xin , Chang-Xing Ma

We develop a novel test of the instrumental variable identifying assumptions for heterogeneous treatment effect models with conditioning covariates. We assume semiparametric dependence between potential outcomes and conditioning covariates.…

计量经济学 · 经济学 2023-09-19 Thomas Carr , Toru Kitagawa

Two-sample network hypothesis testing is an important inference task with applications across diverse fields such as medicine, neuroscience, and sociology. Many of these testing methodologies operate under the implicit assumption that the…

统计方法学 · 统计学 2024-05-28 Ayushi Saxena , Vince Lyzinski

Much of science is (rightly or wrongly) driven by hypothesis testing. Even in situations where the hypothesis testing paradigm is correct, the common practice of basing inferences solely on p-values has been under intense criticism for over…

统计方法学 · 统计学 2015-12-31 M. J. Bayarri , Daniel J. Benjamin , James O. Berger , Thomas M. Sellke

A formal likelihood ratio hypothesis test for the validity of a parametric regression function is proposed, using a large-dimensional, nonparametric double cone alternative. For example, the test against a constant function uses the…

统计方法学 · 统计学 2014-06-30 Bodhisattva Sen , Mary Meyer

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…

统计方法学 · 统计学 2019-02-01 Zach Branson , Luke Miratrix

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

Empirical phi-divergence test-statistics have demostrated to be a useful technique for the simple null hypothesis to improve the finite sample behaviour of the classical likelihood ratio test-statistic, as well asfor model misspecification…

统计方法学 · 统计学 2016-01-15 Narayanaswamy Balakrishnan , Nirian Martin , Leandro Pardo

We describe how to calculate standard errors for A/B tests that include clustered data, ratio metrics, and/or covariate adjustment. We may do this for power analysis/sample size calculations prior to running an experiment using historical…

统计方法学 · 统计学 2024-06-12 Tim Hesterberg , Ben Knight

We investigate the accuracy of the two most common estimators for the maximum expected value of a general set of random variables: a generalization of the maximum sample average, and cross validation. No unbiased estimator exists and we…

机器学习 · 统计学 2013-03-04 Hado van Hasselt