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Observational studies often benefit from an abundance of observational units. This can lead to studies that -- while challenged by issues of internal validity -- have inferences derived from sample sizes substantially larger than randomized…

统计方法学 · 统计学 2020-08-24 Rachael C. Aikens , Dylan Greaves , Michael Baiocchi

With increasing interest in adaptive clinical trial designs, challenges are present to drug supply chain management which may offset the benefit of adaptive designs. Thus, it is necessary to develop an optimization tool to facilitate the…

应用统计 · 统计学 2023-10-16 Jincheng Pang , Hong Yan , Zoe Hua

We examine the problem of optimal design in the context of filtering multiple random walks. Specifically, we define the steady state E-optimal design criterion and show that the underlying optimization problem leads to a second order cone…

应用统计 · 统计学 2010-10-07 Harsh Singhal , George Michailidis

In the area of statistical planning, there is a large body of theoretical knowledge and computational experience concerning so-called optimal approximate designs of experiments. However, for an approximate design to be executed in practice,…

统计计算 · 统计学 2019-03-25 Lenka Filová , Radoslav Harman

Consider an experiment, where a new drug is tested for the first time on human subjects - healthy volunteers. Such experiments are often performed as dose-escalation studies: a set of increasing doses is pre-selected, individuals are…

统计理论 · 数学 2016-08-17 Samuel Rosa , Radoslav Harman

FDA's Project Optimus initiative for oncology drug development emphasizes selecting a dose that optimizes both efficacy and safety. When an inferentially adaptive Phase 2/3 design with dose selection is implemented to comply with the…

应用统计 · 统计学 2024-12-12 Cong Chen , Mo Huang , Xuekui Zhang

The US Food and Drug Administration launched Project Optimus with the aim of shifting the paradigm of dose-finding and selection towards identifying the optimal biological dose that offers the best balance between benefit and risk, rather…

统计方法学 · 统计学 2023-09-13 Ying Yuan , Heng Zhou , Suyu Liu

Phase I dose-finding trials are increasingly challenging as the relationship between efficacy and toxicity of new compounds (or combination of them) becomes more complex. Despite this, most commonly used methods in practice focus on…

机器学习 · 计算机科学 2020-06-16 Cong Shen , Zhiyang Wang , Sofia S. Villar , Mihaela van der Schaar

Adaptive design optimization (ADO) is a state-of-the-art technique for experimental design (Cavagnaro, Myung, Pitt, & Kujala, 2010). ADO dynamically identifies stimuli that, in expectation, yield the most information about a hypothetical…

应用统计 · 统计学 2024-07-10 Sabina J. Sloman , Daniel Cavagnaro , Stephen B. Broomell

Linear regression models are among the models most used in practice, although the practitioners are often not sure whether their assumed linear regression model is at least approximately true. In such situations, only designs for which the…

统计理论 · 数学 2007-06-13 Wolfgang Bischoff , Frank Miller

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…

Bayesian optimal experiments that maximize the information gained from collected data are critical to efficiently identify behavioral models. We extend a seminal method for designing Bayesian optimal experiments by introducing two…

应用统计 · 统计学 2025-03-19 Stefano Balietti , Brennan Klein , Christoph Riedl

In this contribution we apply an adaptive model hierarchy, consisting of a full-order model, a reduced basis reduced order model, and a machine learning surrogate, to parametrized linear-quadratic optimal control problems. The involved…

最优化与控制 · 数学 2024-02-19 Hendrik Kleikamp

We consider the problem of how to assign treatment in a randomized experiment, in which the correlation among the outcomes is informed by a network available pre-intervention. Working within the potential outcome causal framework, we…

统计方法学 · 统计学 2017-05-19 Guillaume W. Basse , Edoardo M. Airoldi

Ordinal regression predicts the objects' labels that exhibit a natural ordering, which is important to many managerial problems such as credit scoring and clinical diagnosis. In these problems, the ability to explain how the attributes…

机器学习 · 计算机科学 2019-11-15 Mengzhuo Guo , Zhongzhi Xu , Qingpeng Zhang , Xiuwu Liao , Jiapeng Liu

In computational inverse problems, the optimal experimental design (OED) problem seeks the best locations in time and space at which to take measurements. We investigate the nonlinear OED problem in the context of continuously-indexed…

数值分析 · 数学 2025-06-10 Ruhui Jin , Qin Li , Stephen O. Mussmann , Stephen J. Wright

Matching mechanisms play a central role in operations management across diverse fields including education, healthcare, and online platforms. However, experimentally comparing a new matching algorithm against a status quo presents some…

统计方法学 · 统计学 2026-01-30 Chonghuan Wang

Time-series experiments, also called switchback experiments or N-of-1 trials, play increasingly important roles in modern applications in medical and industrial areas. Under the potential outcomes framework, recent research has studied…

统计方法学 · 统计学 2025-10-28 Zhexiao Lin , Peng Ding

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…

应用统计 · 统计学 2011-08-01 Björn Bornkamp , Frank Bretz , Holger Dette , José Pinheiro

Interval designs are a class of phase I trial designs for which the decision of dose assignment is determined by comparing the observed toxicity rate at the current dose with a prespecified (toxicity tolerance) interval. If the observed…

统计方法学 · 统计学 2013-09-20 Suyu Liu , Ying Yuan