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Statistics is sometimes described as the science of reasoning under uncertainty. Statistical models provide one view of this uncertainty, but what is frequently neglected is the 'invisible' portion of uncertainty: that assumed not to exist…

Methodology · Statistics 2026-03-18 Oliver L. Pescott , Robin J. Boyd , Gary D. Powney , Gavin B. Stewart

It is argued that the nature of probability is essentially informational rather than physical and that quantum mechanical predictions should be viewed as logical inferences made on the basis of the information content of a given…

Quantum Physics · Physics 2011-07-04 Mohammad Mehrafarin

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

How to give a statistical description of thermodynamics in quantum systems is an open fundamental question. Concerning the work, the presence of initial quantum coherence in the energy basis can give rise to a quasiprobability of work,…

Quantum Physics · Physics 2022-11-15 Gianluca Francica

There are things we know, things we know we don't know, and then there are things we don't know we don't know. In this paper we address the latter two issues in a Bayesian framework, introducing the notion of doubt to quantify the degree of…

Data Analysis, Statistics and Probability · Physics 2008-11-18 Glenn D Starkman , Roberto Trotta , Pascal M Vaudrevange

We discuss the (re-)construction of quasiprobability representations from generic measurements, including noisy ones. Based on the measurement under study, quasiprobabilities and the associated concept of nonclassicality are introduced. A…

Quantum Physics · Physics 2025-11-07 Jan Sperling , Laura Ares , Elizabeth Agudelo

Controversy about the significance of underdetermination of theories persists in the philosophy and conduct of science. The issue has practical import when research is used to inform decision making, because scientific uncertainty yields…

Econometrics · Economics 2026-04-09 Charles F. Manski

Consider a researcher estimating the parameters of a regression function based on data for all 50 states in the United States or on data for all visits to a website. What is the interpretation of the estimated parameters and the standard…

Statistics Theory · Mathematics 2019-06-25 Alberto Abadie , Susan Athey , Guido W. Imbens , Jeffrey M. Wooldridge

We consider the problem of inference in shift-share research designs. The choice between existing approaches that allow for unrestricted spatial correlation involves tradeoffs, varying in terms of their validity when there are relatively…

Econometrics · Economics 2022-06-03 Luis Alvarez , Bruno Ferman , Raoni Oliveira

What if we take a broader view of what it means to run an education experiment? In this paper, we explore opportunities that arise when we think beyond the commonly-held notion that the purpose of an experiment is to either accept or reject…

Human-Computer Interaction · Computer Science 2022-08-11 Mohi Reza , Akmar Chowdhury , Aidan Li , Mahathi Gandhamaneni , Joseph Jay Williams

Human agents happen to judge that a conjunction of two terms is more probable than one of the terms, in contradiction with the rules of classical probabilities---this is the conjunction fallacy. One of the most discussed accounts of this…

Physics and Society · Physics 2016-06-15 Thomas Boyer-Kassem , Sébastien Duchêne , Eric Guerci

Although we accept that Physics is, as a last resort, an experimental science, the relationship between theory and experiment is far away from being trivial. Any experiment is always explained within a determinate theoretical context and,…

History and Philosophy of Physics · Physics 2007-05-23 V. Pleitez

The estimation of causal effects using quasiexperiments often relies on the use of unusual or serendipitous sources of exogenous variation. When the goal is estimating the same causal effects across many different settings, the same unusual…

Econometrics · Economics 2026-05-26 Nick Huntington-Klein

The injunction to `analyze the way you randomize' is well-known to statisticians since Fisher advocated for randomization as the basis of inference. Yet even those convinced by the merits of randomization-based inference seldom follow this…

Methodology · Statistics 2021-12-16 Nicole E. Pashley , Guillaume W. Basse , Luke W. Miratrix

We study the following problem: Determine which almost structurally complete quasivarieties are structurally complete. We propose a general solution to this problem and then a solution in the semisimple case. As a consequence, we obtain a…

Logic · Mathematics 2014-08-21 Miguel Campercholi , Michal M. Stronkowski , Diego Vaggione

Using the technique of quasi difference sets we characterize geometry and automorphisms of configurations which can be presented as a join of some others, in particular - which can be presented as series of cyclically inscribed copies of…

Combinatorics · Mathematics 2012-03-19 Krzysztof Petelczyc , Krzysztof Prażmowski

Comparative simulation studies are workhorse tools for benchmarking statistical methods. As with other empirical studies, the success of simulation studies hinges on the quality of their design, execution and reporting. If not conducted…

Methodology · Statistics 2023-03-10 Samuel Pawel , Lucas Kook , Kelly Reeve

Factorial designs are frequently used in different fields of science, e.g. psychological, medical or biometric studies. Standard approaches, as the ANOVA $F$-test, make different assumptions on the distribution of the error terms, the…

Methodology · Statistics 2018-02-21 Maria Umlauft

The ability to make decisions based on data, with its inherent uncertainties and variability, is a complex and vital skill in the modern world. The need for such quantitative critical thinking occurs in many different contexts, and while it…

Physics Education · Physics 2015-08-21 N. G. Holmes , Carl E. Wieman , D. A. Bonn

This paper presents a non-interleaving denotational semantics for the ?-calculus. The basic idea is to define a notion of test where the outcome is not only whether a given process passes a given test, but also in how many different ways it…

Logic in Computer Science · Computer Science 2009-06-23 Emmanuel Beffara