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There are very different statistical methods for demonstrating a trend in pharmacological experiments. Here, the focus is on sparse models with only one parameter to be estimated and interpreted: the increase in the regression model and the…

Applications · Statistics 2020-07-21 Ludwig A. Hothorn

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

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…

Statistics Theory · Mathematics 2024-04-30 Holger Dette , Lukas Koletzko , Frank Bretz

Dose groups are compared with a control assuming an order restriction usually by the Williams trend test. Here, as an alternative, two variants of the closed testing procedure are considered, one where global Williams tests are used in the…

Applications · Statistics 2021-01-01 Ludwig A. Hothorn

A common problem in clinical trials is to test whether the effect of an explanatory variable on a response of interest is similar between two groups, e.g. patient or treatment groups. In this regard, similarity is defined as equivalence up…

Methodology · Statistics 2024-01-12 Niklas Hagemann , Giampiero Marra , Frank Bretz , Kathrin Möllenhoff

The separate evaluation for males and females is the recent standard in in-vivo toxicology for dose or treatment effects using Dunnett tests. The alternative pre-test for sex-by-treatment interaction is problematic. Here a joint test is…

Applications · Statistics 2020-11-11 Ludwig A. Hothorn

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…

Methodology · Statistics 2017-09-12 Frank Bretz , Kathrin Möllenhoff , Holger Dette , Wei Liu , Matthias Trampisch

Chemical reaction networks (CRNs) provide a convenient language for modelling a broad variety of biological systems. These models are commonly studied with respect to the time series they generate in deterministic or stochastic simulations.…

Molecular Networks · Quantitative Biology 2019-07-11 Ozan Kahramanoğulları

This paper proposes a framework for evaluating the statistical precision of measurement methods from interlaboratory studies where the outcome is a dose-response relationship summarized by a regression line. For such measurement methods,…

Applications · Statistics 2026-05-13 Jun-ichi Takeshita , Yuto Ikeuchi , Tomomichi Suzuki

In learning-phase clinical trials in drug development, adaptive designs can be efficient and highly informative when used appropriately. In this article, we extend the multiple comparison procedures with modeling techniques (MCP-Mod)…

Methodology · Statistics 2021-08-02 Shiyang Ma , Michael P. McDermott

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

Evaluating intervention effects on multiple outcomes is a central research goal in a wide range of quantitative sciences. It is thereby common to compare interventions among each other and with a control across several, potentially highly…

Clinical trials often aim to compare a new drug with a reference treatment in terms of efficacy and/or toxicity depending on covariates such as, for example, the dose level of the drug. Equivalence of these treatments can be claimed if the…

Methodology · Statistics 2019-10-22 Holger Dette , Kathrin Möllenhoff , Frank Bretz

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.…

Applications · Statistics 2020-11-30 Ludwig A. Hothorn

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…

Methodology · Statistics 2015-10-22 Georg Gutjahr , Björn Bornkamp

Considerable interest has recently been focused on studying multiple phenotypes simultaneously in both epidemiological and genomic studies, either to capture the multidimensionality of complex disorders or to understand shared etiology of…

Methodology · Statistics 2015-11-26 Denis Agniel , Katherine P. Liao , Tianxi Cai

In medical device comparison studies, equivalency test is commonly used to demonstrate two measurement methods agree up to a pre-specified performance goal based on the paired repeated measures. Such equivalency test often involves…

Methodology · Statistics 2019-08-22 Yun Bai , Zengri Wang , Theodore Lystig , Baolin Wu

Statistical methodology for the design and analysis of clinical Phase II dose response studies, with related software implementation, are well developed for the case of a normally distributed, homoscedastic response considered for a single…

Methodology · Statistics 2014-05-09 José Pinheiro , Björn Bornkamp , Ekkehard Glimm , Frank Bretz

We propose a powerful adaptive contrast test with ordinal constraint contrast coefficients determined by observed responses. The adaptive contrast test can perform using easily calculated contrast coefficients and existing statistical…

Methodology · Statistics 2021-09-23 Masahiro Kojima

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…

Methodology · Statistics 2019-02-12 Kathrin Möllenhoff , Frank Bretz , Holger Dette
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