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To claim similarity of multiple dose-response curves in interlaboratory studies in regulatory toxicology is a relevant issue during the assay validation process. Here we demonstrated the use of dose-by-laboratory interaction contrasts,…

应用统计 · 统计学 2020-09-28 Ludwig A. Hothorn , Dimitrios Spiliotopoulos

In order to determine whether or not an effect is absent based on a statistical test, the recommended frequentist tool is the equivalence test. Typically, it is expected that an appropriate equivalence margin has been specified before any…

统计方法学 · 统计学 2021-02-24 Harlan Campbell , Paul Gustafson

This paper establishes three properties of F-statistics for inference about the mean vector in multiple regression and analysis of variance. The extra SSE due to imposing a set of linear conditions on the model tests the estimable part of…

统计方法学 · 统计学 2022-11-01 Lynn R. LaMotte

Applied researchers often claim that the risk difference is more heterogeneous than the relative risk and the odds ratio. Some also argue that there are theoretical grounds for why this claim is true. In this note, we point out that these…

应用统计 · 统计学 2022-10-12 Linbo Wang

In modern scientific research, small-scale studies with limited participants are increasingly common. However, interpreting individual outcomes can be challenging, making it standard practice to combine data across studies using random…

统计理论 · 数学 2025-11-04 Lucas Kania , Larry Wasserman , Sivaraman Balakrishnan

The odds ratio (OR) is a measure of effect size commonly used in observational research. OR reflects statistical association between a binary outcome, such as the presence of a health condition, and a binary predictor, such as an exposure…

统计方法学 · 统计学 2018-07-09 Olga A Vsevolozhskaya , Dmitri V Zaykin

Contemporary statistical publications rely on simulation to evaluate performance of new methods and compare them with established methods. In the context of meta-analysis of log-odds-ratios, we investigate how the ways in which simulations…

统计方法学 · 统计学 2020-07-06 Elena Kulinskaya , David C. Hoaglin , Ilyas Bakbergenuly

The Dunnett procedure compares several treatment or dose groups with a control group, while controlling the familywise error rate. When deviations from the normal distribution and heterogeneous variances occur, the nominal $\alpha$ level…

应用统计 · 统计学 2019-05-07 Ludwig A. Hothorn , Felix M. Kluxen

Some large scale inference problems are considered based on using the relative belief ratio as a measure of statistical evidence. This approach is applied to the multiple testing problem. A particular application of this is concerned with…

统计理论 · 数学 2016-09-22 Michael Evans , Jabed Tomal

Bartholomew's trend test belongs to the broad class of isotonic regression models, specifically with a single qualitative factor, e.g. dose levels. Using the approximation of the ANOVA F-test by the maximum contrast test against grand mean…

统计方法学 · 统计学 2024-01-25 Ludwig A. Hothorn

Generalized causal effect estimands, including the Mann-Whitney parameter and causal net benefit, provide flexible summaries of treatment effects in randomized experiments with non-Gaussian or multivariate outcomes. We develop a unified…

统计方法学 · 统计学 2026-02-27 Xinyuan Chen , Fan Li

Test-negative designs are widely used for post-market evaluation of vaccine effectiveness, particularly in cases when randomized trials are not feasible. Differing from classical test-negative designs where only healthcare-seekers with…

The problem of detecting variance breaks in the case of smooth time-varying variance structure is studied. It is highlighted that the tests based on (piecewise) constant specification of the variance are not able to distinguish between…

统计方法学 · 统计学 2017-07-24 Ben Hajria Raja , Khardani Salah , Raïssi Hamdi

In this paper, we develop a systematic theory for high dimensional analysis of variance in multivariate linear regression, where the dimension and the number of coefficients can both grow with the sample size. We propose a new \emph{U}~type…

统计方法学 · 统计学 2023-01-12 Zhipeng Lou , Xianyang Zhang , Wei Biao Wu

Equivalence testing compares the hypothesis that an effect $\mu$ is large against the alternative that it is negligible. Here, `large' is classically expressed as being larger than some `equivalence margin' $\Delta$. A longstanding problem…

统计理论 · 数学 2026-03-18 Stan Koobs , Nick W. Koning

For data sets with similar features, for example highly correlated features, most existing stability measures behave in an undesired way: They consider features that are almost identical but have different identifiers as different features.…

机器学习 · 统计学 2021-01-18 Andrea Bommert , Jörg Rahnenführer

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

统计方法学 · 统计学 2020-05-20 Li-Chun Zhang

The log-normal distribution is used to describe the positive data, that it has skewed distribution with small mean and large variance. This distribution has application in many sciences for example medicine, economics, biology and…

统计方法学 · 统计学 2015-08-10 Saba Aghadoust , Kamel Abdollahnezhad , Farhad Yaghmaei , Ali Akbar Jafari

For the evaluation of carcinogenicity bioassays a new trend test is proposed which is based on a maximum of arithmetic, ordinal, and logarithmic regression scores as well as the Williams-type contrasts for either crude proportions or more…

应用统计 · 统计学 2020-07-27 Ludwig A. Hothorn , Atiar M. Rahman , Frank Schaarschmidt

Regression analyses based on transformations of cumulative incidence functions are often adopted when modeling and testing for treatment effects in clinical trial settings involving competing and semi-competing risks. Common frameworks…

统计方法学 · 统计学 2024-01-11 Alexandra Bühler , Richard J Cook , Jerald F Lawless