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Calibration of the uncertain Arrhenius diffusion parameters for quantifying mixing rates in Zr-Al nanolaminate foils was performed in a Bayesian setting [Vohra et al., 2014]. The parameters were inferred in a low temperature regime…

数据分析、统计与概率 · 物理学 2024-03-28 Manav Vohra , Xun Huan , Timothy P. Weihs , Omar M. Knio

This paper studies experimental designs for estimation and inference on policies with spillover effects. Units are organized into a finite number of large clusters and interact in unknown ways within each cluster. First, we introduce a…

计量经济学 · 经济学 2024-05-06 Davide Viviano , Jess Rudder

The paper develops methods to construct a one-stage optimal design of dilution experiments under the total available volume constraint typical for bio-medical applications. We consider various design criteria based on the Fisher information…

统计理论 · 数学 2013-05-08 Maryam Zolghadr , Sergei Zuyev

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 paper optimal experimental designs for inverse quadratic regression models are determined. We consider two different parameterizations of the model and investigate local optimal designs with respect to the $c$-, $D$- and…

统计方法学 · 统计学 2008-09-30 H. Dette , C. Kiss

Many chemical and biological experiments involve multiple treatment factors and often it is convenient to fit a nonlinear model in these factors. This nonlinear model can be mechanistic, empirical or a hybrid of the two. Motivated by…

统计计算 · 统计学 2018-10-09 Yuanzhi Huang , Steven Gilmour , Kalliopi Mylona , Peter Goos

Phase I oncology trials aim to identify a safe dose - often the maximum tolerated dose (MTD) - for subsequent studies. Conventional designs focus on population-level toxicity modeling, with recent attention on leveraging pharmacokinetic…

应用统计 · 统计学 2026-01-13 Kyong Ju Lee , Yuan Ji

Adaptive experimental designs have gained popularity in clinical trials and online experiments. Unlike traditional, fixed experimental designs, adaptive designs can dynamically adjust treatment randomization probabilities and other design…

统计方法学 · 统计学 2025-08-19 Wenxin Zhang , Mark van der Laan

Interference is ubiquitous when conducting causal experiments over networks. Except for certain network structures, causal inference on the network in the presence of interference is difficult due to the entanglement between the treatment…

统计方法学 · 统计学 2023-12-08 Chencheng Cai , Xu Zhang , Edoardo M. Airoldi

We consider the problem of designing experiments for investigating particle in-flight properties in thermal spraying. Observations are available on an extensive design for an initial day and thereafter in limited number for any particular…

应用统计 · 统计学 2013-12-17 Holger Dette , Laura Hoyden , Sonja Kuhnt , Kirsten Schorning

We propose novel optimal designs for longitudinal data for the common situation where the resources for longitudinal data collection are limited, by determining the optimal locations in time where measurements should be taken. As for all…

统计方法学 · 统计学 2016-04-20 Hao Ji , Hans-Georg Müller

In clinical trials, the response of a given subject often depends on the selected treatment as well as on some covariates. We study optimal approximate designs of experiments in the models with treatment and covariate effects. We allow for…

统计理论 · 数学 2019-07-10 Samuel Rosa

We develop adaptive discretization algorithms for locally optimal experimental design of nonlinear prediction models. With these algorithms, we refine and improve a pertinent state-of-the-art algorithm in various respects. We establish…

最优化与控制 · 数学 2024-06-04 Jochen Schmid , Philipp Seufert , Michael Bortz

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

The study of experimental design offers tremendous benefits for answering causal questions across a wide range of applications, including agricultural experiments, clinical trials, industrial experiments, social experiments, and digital…

统计方法学 · 统计学 2024-08-27 Jinglong Zhao

This paper studies how to design two-wave experiments in the presence of spillovers for precise inference on treatment effects. We consider units connected through a single network, local dependence among individuals, and a general class of…

计量经济学 · 经济学 2025-11-25 Davide Viviano

In the chemical, pharmaceutical, and food industries, sometimes the order of adding a set of components has an impact on the final product. These are instances of the order-of-addition (OofA) problem, which aims to find the optimal sequence…

统计方法学 · 统计学 2024-11-07 Jiayi Zheng , Nicholas Rios

We consider optimal designs for general multinomial logistic models, which cover baseline-category, cumulative, adjacent-categories, and continuation-ratio logit models, with proportional odds, non-proportional odds, or partial proportional…

统计理论 · 数学 2019-02-19 Xianwei Bu , Dibyen Majumdar , Jie Yang

In oncology phase I trials, model-assisted designs have been increasingly adopted because they enable adaptive yet operationally simple dose adjustment based on accumulating safety data, leading to a paradigm shift in dose-escalation…

统计方法学 · 统计学 2026-02-23 Kana Yamada , Hisato Sunami , Kentaro Takeda , Keisuke Hanada , Masahiro Kojima

Optimum experimental design theory has recently been extended for parameter estimation in copula models. However, the choice of the correct dependence structure still requires wider analyses. In this work the issue of copula selection is…

统计方法学 · 统计学 2016-01-29 Elisa Perrone , Andreas Rappold , Werner G. Müller