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This article studies the benefits of using spatially randomized experimental designs which partition the experimental area into distinct, non-overlapping units with treatments assigned randomly. Such designs offer improved policy evaluation…

Statistics Theory · Mathematics 2025-11-18 Ying Yang , Chengchun Shi , Fang Yao , Shouyang Wang , Hongtu Zhu

This paper develops a finite population framework for analyzing causal effects in settings with imperfect compliance where multiple treatments affect the outcome of interest. Two prominent examples are factorial designs and panel…

Methodology · Statistics 2026-01-26 Pedro Picchetti

Experiments deliver credible treatment-effect estimates but, because they are costly, are often restricted to specific sites, small populations, or particular mechanisms. A common practice across several fields is therefore to combine…

Econometrics · Economics 2025-12-30 Aristotelis Epanomeritakis , Davide Viviano

Structural reliability methods aim at computing the probability of failure of systems with respect to some prescribed performance functions. In modern engineering such functions usually resort to running an expensive-to-evaluate…

Methodology · Statistics 2011-05-10 V. Dubourg , F. Deheeger , B. Sudret

We consider a potential outcomes model in which interference may be present between any two units but the extent of interference diminishes with spatial distance. The causal estimand is the global average treatment effect, which compares…

Methodology · Statistics 2022-09-16 Michael P. Leung

Experimental designs are fundamental for estimating causal effects. In some fields, within-subjects designs, which expose participants to both control and treatment at different time periods, are used to address practical and logistical…

Methodology · Statistics 2025-05-08 Justin Ho , Jonathan Min

When a linear model is adjusted to control for additional explanatory variables the sign of a fitted coefficient may reverse. Here these reversals are studied using coefficients of determination. The resulting theory can be used to…

Methodology · Statistics 2015-03-11 Brian Knaeble , Seth Dutter

Inference in hierarchical nonlinear models needs careful consideration about targeting parameters that have either a conditional or population-average interpretation. For the special case of mixed-effects nonlinear sigmoidal models we…

Applications · Statistics 2017-07-11 Daniel Gerhard , Christian Ritz

Hierarchical random effect models are used for different purposes in clinical research and other areas. In general, the main focus is on population parameters related to the expected treatment effects or group differences among all units of…

Applications · Statistics 2021-04-07 Maryna Prus , Norbert Benda , Rainer Schwabe

The causal structure for measurement bias (MB) remains controversial. Aided by the Directed Acyclic Graph (DAG), this paper proposes a new structure for measuring one singleton variable whose MB arises in the selection of an imperfect I/O…

Methodology · Statistics 2020-12-24 Yijie Li , Wei Fan , Miao Zhang , Lili Liu , Jiangbo Bao , Yingjie Zheng

A stepped wedge design is a unidirectional crossover design where clusters are randomized to distinct treatment sequences. While model-based analysis of stepped wedge designs is standard practice to evaluate treatment effects accounting for…

Methodology · Statistics 2024-09-13 Bingkai Wang , Xueqi Wang , Fan Li

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

Methodology · Statistics 2018-05-23 Colman Humphrey , Dan Swingley

Variance reduction for causal inference in the presence of network interference is often achieved through either outcome modeling, typically analyzed under unit-randomized Bernoulli designs, or clustered experimental designs, typically…

Methodology · Statistics 2026-01-19 Matthew Eichhorn , Samir Khan , Johan Ugander , Christina Lee Yu

Likelihood methods for measuring statistical evidence obey the likelihood principle while maintaining bounded and well-controlled frequency properties. These methods lend themselves to sequential study designs because they measure the…

Methodology · Statistics 2017-11-07 Jeffrey D Blume , Leena Choi

This paper investigates the structural interpretation of the marginal policy effect (MPE) within nonseparable models. We demonstrate that, for a smooth functional of the outcome distribution, the MPE equals its functional derivative…

Econometrics · Economics 2025-07-10 Zhixin Wang , Yu Zhang , Zhengyu Zhang

This paper shows how to use a randomized saturation experimental design to identify and estimate causal effects in the presence of spillovers--one person's treatment may affect another's outcome--and one-sided non-compliance--subjects can…

We propose a new model selection criterion for mixed effects regression models that is computable when the model is fitted with a two-step method, even when the structure and the distribution of the random effects are unknown. The criterion…

Methodology · Statistics 2018-03-14 Radu V. Craiu , Thierry Duchesne

What is the ideal regression (if any) for estimating average causal effects? We study this question in the setting of discrete covariates, deriving expressions for the finite-sample variance of various stratification estimators. This…

Methodology · Statistics 2022-09-26 P. Richard Hahn , Andrew Herren

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

Methodology · Statistics 2020-08-04 Muxuan Liang , Menggang Yu

Despite the major advances taken in causal modeling, causality is still an unfamiliar topic for many statisticians. In this paper, it is demonstrated from the beginning to the end how causal effects can be estimated from observational data…

Methodology · Statistics 2014-07-03 Juha Karvanen
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