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相关论文: Equivalence of dose response curves

200 篇论文

In this paper we compare two regression curves by measuring their difference by the area between the two curves, represented by their $L^1$-distance. We develop asymptotic confidence intervals for this measure and statistical tests to…

统计理论 · 数学 2023-02-03 Patrick Bastian , Holger Dette , Lukas Koletzko , Kathrin Möllenhoff

In clinical trials the comparison of two different populations is a frequently addressed problem. Non-linear (parametric) regression models are commonly used to describe the relationship between covariates as the dose and a response…

统计方法学 · 统计学 2019-02-12 Kathrin Möllenhoff , Frank Bretz , Holger Dette

This paper addresses the problem of deciding whether the dose response relationships between subgroups and the full population in a multi-regional trial are similar to each other. Similarity is measured in terms of the maximal deviation…

统计理论 · 数学 2024-04-30 Holger Dette , Lukas Koletzko , Frank Bretz

This paper proposes a new test for the comparison of conditional quantile curves when the outcome of interest, typically a duration, is subject to right censoring. The test can be applied both in the case of two independent samples and for…

统计方法学 · 统计学 2023-02-08 Lorenzo Tedesco , Ingrid Van Keilegom

We consider two problems that are attracting increasing attention in clinical dose finding studies. First, we assess the similarity of two non-linear regression models for two non-overlapping subgroups of patients over a restricted…

统计方法学 · 统计学 2017-09-12 Frank Bretz , Kathrin Möllenhoff , Holger Dette , Wei Liu , Matthias Trampisch

In this paper, we consider the hypothesis testing of correlation between two $m$-uniform hypergraphs on $n$ unlabelled nodes. Under the null hypothesis, the hypergraphs are independent, while under the alternative hypothesis, the hyperdges…

统计理论 · 数学 2022-02-15 Mingao Yuan , Zuofeng Shang

The paper introduces a new kernel-based Maximum Mean Discrepancy (MMD) statistic for measuring the distance between two distributions given finitely-many multivariate samples. When the distributions are locally low-dimensional, the proposed…

机器学习 · 统计学 2018-09-03 Xiuyuan Cheng , Alexander Cloninger , Ronald R. Coifman

We take a different look at the problem of testing the independence of two metric-space-valued random variables using the distance correlation. Instead of testing if the distance correlation vanishes exactly, we are interested in the…

统计理论 · 数学 2025-11-19 Holger Dette , Marius Kroll

The causal dose response curve is commonly selected as the statistical parameter of interest in studies where the goal is to understand the effect of a continuous exposure on an outcome.Most of the available methodology for statistical…

Most of the literature on change-point analysis by means of hypothesis testing considers hypotheses of the form H0 : \theta_1 = \theta_2 vs. H1 : \theta_1 != \theta_2, where \theta_1 and \theta_2 denote parameters of the process before and…

统计方法学 · 统计学 2016-11-26 Holger Dette , Dominik Wied

In the framework of semiparametric distribution regression, we consider the problem of comparing the conditional distribution functions corresponding to two samples. In contrast to testing for exact equality, we are interested in the (null)…

计量经济学 · 经济学 2025-06-12 Holger Dette , Kathrin Möllenhoff , Dominik Wied

Testing the independence between random vectors is a fundamental problem in statistics. Distance correlation, a recently popular dependence measure, is universally consistent for testing independence against all distributions with finite…

统计方法学 · 统计学 2024-08-22 Yuwei Ke , Hok Kan Ling , Yanglei Song

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

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

统计方法学 · 统计学 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

In modern experimental science, there is a common problem of estimating the coefficients of a linear regression in a context where the variables of interest cannot be observed simultaneously. When there is a categorical variable that is…

统计方法学 · 统计学 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

The comparison of a parameter in $k$ populations is a classical problem in statistics. Testing for the equality of means or variances are typical examples. Most procedures designed to deal with this problem assume that $k$ is fixed and that…

This article studies the problem whether two convex (concave) regression functions modelling the relation between a response and covariate in two samples differ by a shift in the horizontal and/or vertical axis. We consider a nonparametric…

统计理论 · 数学 2019-08-14 Holger Dette , Subhra Sankar Dhar , Weichi Wu

We consider the problem of testing for a dose-related effect based on a candidate set of (typically nonlinear) dose-response models using likelihood-ratio tests. For the considered models this reduces to assessing whether the slope…

统计方法学 · 统计学 2015-10-22 Georg Gutjahr , Björn Bornkamp

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

统计理论 · 数学 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

Distance correlation has become an increasingly popular tool for detecting the nonlinear dependence between a pair of potentially high-dimensional random vectors. Most existing works have explored its asymptotic distributions under the null…

统计理论 · 数学 2021-10-06 Lan Gao , Yingying Fan , Jinchi Lv , Qi-Man Shao
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