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A recent literature has shown that when adoption of a treatment is staggered and average treatment effects vary across groups and over time, difference-in-differences regression does not identify an easily interpretable measure of the…

Econometrics · Economics 2022-07-14 John Gardner

The invariant is one of central topics in science, technology and engineering. The differential invariant is essential in understanding or describing some important phenomena or procedures in mathematics, physics, chemistry, biology or…

Computer Vision and Pattern Recognition · Computer Science 2017-05-26 Erbo Li , Hua Li

A comprehensive review of the literature on crossover design is needed to highlight its evolution, applications, and methodological advancements across various fields. Given its widespread use in clinical trials and other research domains,…

Methodology · Statistics 2024-10-14 Salil Koner

The Regression Discontinuity (RD) design is a widely used non-experimental method for causal inference and program evaluation. While its canonical formulation only requires a score and an outcome variable, it is common in empirical work to…

Methodology · Statistics 2022-08-25 Matias D. Cattaneo , Luke Keele , Rocio Titiunik

The data science revolution has led to an increased interest in the practice of data analysis. While much has been written about statistical thinking, a complementary form of thinking that appears in the practice of data analysis is design…

Methodology · Statistics 2023-05-24 Lucy D'Agostino McGowan , Roger D. Peng , Stephanie C. Hicks

Triple differences (DDD) is a workhorse quasi-experimental design in applied economics. But, under staggered adoption, its conventional three-way fixed-effects (3WFE) implementation inherits the interpretation issues now well understood in…

Econometrics · Economics 2026-05-19 Meng Hsuan Hsieh

Diffusion-based data augmentation (DiffDA) has emerged as a promising approach to improving classification performance under data scarcity. However, existing works vary significantly in task configurations, model choices, and experimental…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zekun Li , Yinghuan Shi , Yang Gao , Dong Xu

Bayesian experimental design (BED) is a tool for guiding experiments founded on the principle of expected information gain. I.e., which experiment design will inform the most about the model can be predicted before experiments in a…

Chemical Physics · Physics 2019-09-10 Eric A. Walker , Kishore Ravisankar

Design-based frameworks of uncertainty are frequently used in settings where the treatment is (conditionally) randomly assigned. This paper develops a design-based framework suitable for analyzing quasi-experimental settings in the social…

Econometrics · Economics 2025-06-17 Ashesh Rambachan , Jonathan Roth

Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th century, studying the structure of various types of…

Symbolic Computation · Computer Science 2024-12-19 Irina A. Kogan

This paper defends an augmented cognitively oriented "generic-design hypothesis": There are both significant similarities between the design activities implemented in different situations and crucial differences between these and other…

Human-Computer Interaction · Computer Science 2007-05-23 Willemien Visser

Finite differences have been widely used in mathematical theory as well as in scientific and engineering computations. These concepts are constantly mentioned in calculus. Most frequently-used difference formulas provide excellent…

Numerical Analysis · Mathematics 2010-06-09 Brian Jain , Andrew D. Sheng

This paper introduces the Non-Additive Difference-in-Differences (NA-DiD) framework, which extends classical DiD by incorporating non-additive measures the Choquet integral for effect aggregation. It serves as a novel econometric tool for…

Econometrics · Economics 2025-12-23 Stanisław M. S. Halkiewicz

We consider treatment-effect estimation with a two-periods panel, where units are untreated at period one, and receive strictly positive doses at period two. First, we consider designs with some quasi-untreated units, with a period-two dose…

Econometrics · Economics 2026-04-02 Clément de Chaisemartin , Diego Ciccia , Xavier D'Haultfœuille , Felix Knau

We propose Distributionally Balanced Designs (DBD), a new class of probability sampling designs that target representativeness at the level of the full auxiliary distribution rather than selected moments. In disciplines such as ecology,…

Methodology · Statistics 2026-03-13 Anton Grafström , Wilmer Prentius

There are multiple cluster randomised trial designs that vary in when the clusters cross between control and intervention states, when observations are made within clusters, and how many observations are made at that time point. Identifying…

Methodology · Statistics 2023-07-20 Samuel I. Watson , Alan Girling , Karla Hemming

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…

Methodology · Statistics 2016-01-29 Elisa Perrone , Andreas Rappold , Werner G. Müller

For large classes of group testing problems, we derive lower bounds for the probability that all significant items are uniquely identified using specially constructed random designs. These bounds allow us to optimize parameters of the…

Statistics Theory · Mathematics 2022-02-17 Jack Noonan , Anatoly Zhigljavsky

The constant development of new data analysis methods in many fields of research is accompanied by an increasing awareness that these new methods often perform better in their introductory paper than in subsequent comparison studies…

Methodology · Statistics 2024-01-17 Christina Nießl , Sabine Hoffmann , Theresa Ullmann , Anne-Laure Boulesteix

We consider the design of dimensional analysis experiments when there is more than a single response. We first give a brief overview of dimensional analysis experiments and the dimensional analysis (DA) procedure. The validity of the DA…

Applications · Statistics 2018-08-09 Daniel J. Eck , Christopher J. Nachtsheim , R. Dennis Cook , Thomas A. Albrecht
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