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Phase II dose finding studies in clinical drug development are typically conducted to adequately characterize the dose response relationship of a new drug. An important decision is then on the choice of a suitable dose response function to…

Applications · Statistics 2015-08-04 Kirsten Schorning , Björn Bornkamp , Frank Bretz , Holger Dette

Dose-finding studies are frequently conducted to evaluate the effect of different doses or concentration levels of a compound on a response of interest. Applications include the investigation of a new medicinal drug, a herbicide or…

Applications · Statistics 2011-08-01 Björn Bornkamp , Frank Bretz , Holger Dette , José Pinheiro

The issue of determining not only an adequate dose but also a dosing frequency of a drug arises frequently in Phase II clinical trials. This results in the comparison of models which have some parameters in common. Planning such studies…

Methodology · Statistics 2017-11-16 Kirsten Schorning , Maria Konstantinou

A common problem in Phase II clinical trials is the comparison of dose response curves corresponding to different treatment groups. If the effect of the dose level is described by parametric regression models and the treatments differ in…

Statistics Theory · Mathematics 2016-03-16 Chrystel Feller , Kirsten Schorning , Holger Dette , Georgina Bermann , Björn Bornkamp

The purpose of a phase I dose-finding clinical trial is to investigate the toxicity profiles of various doses for a new drug and identify the maximum tolerated dose. Over the past three decades, various dose-finding designs have been…

Methodology · Statistics 2021-11-25 Yunshan Duan , Shijie Yuan , Yuan Ji , Peter Mueller

Dose-finding trials are a key component of the drug development process and rely on a statistical design to help inform dosing decisions. Triallists wishing to choose a design require knowledge of operating characteristics of competing…

Computation · Statistics 2025-03-11 Michael Sweeting , Daniel Slade , Dan Jackson , Kristian Brock

An important task in drug development is to identify patients, which respond better or worse to an experimental treatment. Identifying predictive covariates, which influence the treatment effect and can be used to define subgroups of…

Methodology · Statistics 2018-11-27 Marius Thomas , Björn Bornkamp , Katja Ickstadt

We develop a nonparametric Bayesian modeling framework for clustered ordinal responses in developmental toxicity studies, which typically exhibit extensive heterogeneity. The primary focus of these studies is to examine the dose-response…

Methodology · Statistics 2024-08-22 Jizhou Kang , Athanasios Kottas

An important tool to evaluate the performance of any design is an optimal benchmark proposed by O'Quigley and others (2002, Biostatistics 3(1), 51-56) that provides an upper bound on the performance of a design under a given scenario. The…

Statistics Theory · Mathematics 2018-03-06 Pavel Mozgunov , Thomas Jaki , Xavier Paoletti

Evaluating the influence of continuous covariates, like exposure time or dose, on a response variable is a pivotal objective in the assessment of a compound's effect, particularly when determining toxicity in pre-clinical research or…

Methodology · Statistics 2026-04-16 Lucia Ameis , Niklas Hagemann , Kathrin Möllenhoff

In this paper we consider two-stage adaptive dose-response study designs, where the study design is changed at an interim analysis based on the information collected so far. In a simulation study, two approaches will be compared for these…

Methodology · Statistics 2016-02-08 Emma McCallum , Björn Bornkamp

There is wide interest in studying how the distribution of a continuous response changes with a predictor. We are motivated by environmental applications in which the predictor is the dose of an exposure and the response is a health…

Methodology · Statistics 2018-05-10 Antonio Canale , Daniele Durante , David Dunson

Dose-finding trials for oncology studies are traditionally designed to assess safety in the early stages of drug development. With the rise of molecularly targeted therapies and immuno-oncology compounds, biomarker-driven approaches have…

Methodology · Statistics 2025-09-15 Xijin Chen , Pavel Mozgunov , Richard D. Baird , Thomas Jaki

A general random effects model is proposed that allows for continuous as well as discrete distributions of the responses. Responses can be unrestricted continuous, bounded continuous, binary, ordered categorical or given in the form of…

Methodology · Statistics 2024-04-30 Gerhard Tutz

The popular generalized additive model framework is extended to allow both the mean curves and the response distribution to be nonparametric. The approach is demonstrated to be a flexible yet parsimonious tool for data analysis in its own…

Methodology · Statistics 2017-09-18 Alan Huang , Nanxi Zhang

In randomized dose-finding trials, although drug exposure data form a part of key information for dose selection, the evaluation of the dose-response (DR) relationship often mainly uses DR data. We examine the benefit of…

Methodology · Statistics 2025-08-07 Jixian Wang , Zhiwei Zhang , Ram Tiwari

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

Recently, phase II trials with multiple schedules (frequency of administrations) have become more popular, for instance in the development of treatments for atopic dermatitis. If the relationship of the dose and response is described by a…

Applications · Statistics 2020-11-17 Burak Kürsad Günhan , Paul Meyvisch , Tim Friede

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

Dose-response models express the effect of different dose or exposure levels on a specific outcome. In meta-analysis, where aggregated-level data is available, dose-response evidence is synthesized using either one-stage or two-stage models…

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