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This paper analyzes difference-in-differences designs with a continuous treatment. We show that treatment-on-the-treated-type parameters are identified under a parallel trends assumption analogous to the binary treatment case. However,…

Econometrics · Economics 2026-01-05 Brantly Callaway , Andrew Goodman-Bacon , Pedro H. C. Sant'Anna

Optimal dynamic treatment regimes (DTRs), as a key part of precision medicine, have progressively gained more attention recently. To inform clinical decision making, interpretable and parsimonious models for contrast functions are…

Methodology · Statistics 2025-12-08 Chunyu Wang , Brian Tom

In this paper, we propose two simple yet efficient computational algorithms to obtain approximate optimal designs for multi-dimensional linear regression on a large variety of design spaces. We focus on the two commonly used optimal…

Statistics Theory · Mathematics 2021-02-26 Jiangtao Duan , Wei Gao , Yanyuan Ma , Hon Keung Tony Ng

Crossover designs randomly assign each unit to receive a sequence of treatments. By comparing outcomes within the same unit, these designs can effectively eliminate between-unit variation and facilitate the identification of both…

Methodology · Statistics 2026-04-21 Zhichao Jiang , Peng Ding

Demand response aims to stimulate electricity consumers to modify their loads at critical time periods. In this paper, we consider signals in demand response programs as a binary treatment to the customers and estimate the average treatment…

Optimization and Control · Mathematics 2017-07-04 Pan Li , Baosen Zhang

Diffusion models have emerged as a leading framework in generative modeling, poised to transform the traditionally slow and costly process of drug discovery. This review provides a systematic comparison of their application in designing two…

Machine Learning · Computer Science 2025-11-27 Yiquan Wang , Yahui Ma , Yuhan Chang , Jiayao Yan , Jialin Zhang , Minnuo Cai , Kai Wei

We study the problem of treatment effect estimation in randomized experiments with high-dimensional covariate information, and show that essentially any risk-consistent regression adjustment can be used to obtain efficient estimates of the…

Methodology · Statistics 2022-06-08 Stefan Wager , Wenfei Du , Jonathan Taylor , Robert Tibshirani

This paper considers the identification of dynamic treatment effects with panel data, in complex designs where the treatment may not be binary and may not be absorbing. We first show that under no-anticipation and parallel-trends…

Econometrics · Economics 2025-12-23 Clément de Chaisemartin , Xavier D'Haultfœuille

In this paper we extend the results of Radloff and Schwabe (2018), which could be applied for example to Poisson regression, negative binomial regression and proportional hazard models with censoring, to a wider class of non-linear multiple…

Methodology · Statistics 2021-04-07 Martin Radloff , Rainer Schwabe

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…

Applications · Statistics 2013-12-17 Holger Dette , Laura Hoyden , Sonja Kuhnt , Kirsten Schorning

An early phase clinical trial is the first step in evaluating the effects in humans of a potential new anti-disease agent or combination of agents. Usually called "phase I" or "phase I/II" trials, these experiments typically have the…

Methodology · Statistics 2010-12-01 Peter F. Thall

Determining the optimal initial dose for warfarin is a critically important task. Several factors have an impact on the therapeutic dose for individual patients, such as patients' physical attributes (Age, Height, etc.), medication profile,…

Machine Learning · Computer Science 2019-03-25 Ashkan Sharabiani , Adam Bress , William Galanter , Rezvan Nazempour , Houshang Darabi

A common concern when a policymaker draws causal inferences from and makes decisions based on observational data is that the measured covariates are insufficiently rich to account for all sources of confounding, i.e., the standard no…

Methodology · Statistics 2023-10-25 Tao Shen , Yifan Cui

We propose a rule-based statistical design for combination dose-finding trials with two agents. The Ci3+3 design is an extension of the i3+3 design with simple decision rules comparing the observed toxicity rates and equivalence intervals…

Applications · Statistics 2023-03-29 Shijie Yuan , Tianjian Zhou , Yawen Lin , Yuan Ji

We construct optimal designs for group testing experiments where the goal is to estimate the prevalence of a trait by using a test with uncertain sensitivity and specificity. Using optimal design theory for approximate designs, we show that…

Statistics Theory · Mathematics 2017-01-05 Shih-Hao Huang , Mong-Na Lo Huang , Kerby Shedden , Weng Kee Wong

In Oncology, trials evaluating drug combinations are becoming more common. While combination therapies bring the potential for greater efficacy, they also create unique challenges for ensuring drug safety. In Phase-I dose escalation trials…

Applications · Statistics 2023-02-23 Lukas A. Widmer , Andrew Bean , David Ohlssen , Sebastian Weber

Clinical trials are an instrument for making informed decisions based on evidence from well-designed experiments. Here we consider adaptive designs mainly from the perspective of multi-arm Phase II clinical trials, in which one or more…

Methodology · Statistics 2021-08-31 Elja Arjas , Dario Gasbarra

In the conventional regression-discontinuity (RD) design, the probability that units receive a treatment changes discontinuously as a function of one covariate exceeding a threshold or cutoff point. This paper studies an extended RD design…

Econometrics · Economics 2025-10-13 Eugenio Felipe Merlano

Platform trials are randomized clinical trials that allow simultaneous comparison of multiple interventions, usually against a common control. Arms to test experimental interventions may enter and leave the platform over time. This implies…

Methodology · Statistics 2024-04-12 Marta Bofill Roig , Ekkehard Glimm , Tobias Mielke , Martin Posch

A computer model can be used for predicting an output only after specifying the values of some unknown physical constants known as calibration parameters. The unknown calibration parameters can be estimated from real data by conducting…

Methodology · Statistics 2021-06-18 Arvind Krishna , V. Roshan Joseph , Shan Ba , William A. Brenneman , William R. Myers
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