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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,…

Applications · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Applications · Statistics 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…

Statistics Theory · Mathematics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Applications · Statistics 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…

Statistics Theory · Mathematics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Statistics Theory · Mathematics 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.…

Machine Learning · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Applications · Statistics 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…

Methodology · Statistics 2024-01-11 Alexandra Bühler , Richard J Cook , Jerald F Lawless
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