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We discuss several aspects of creation of adequate mathematical models in other sciences. In particular, many difficulties stem from great complexity of the source systems and the presence of a variety of uncertain factors. We illustrate…

最优化与控制 · 数学 2021-02-19 I. V. Konnov

Social media is nearly ubiquitous in modern life, raising concerns about its societal impacts -- from mental health and polarization to violence and democratic disruption. Yet research on its causal effects is still inconclusive: Various…

社会与信息网络 · 计算机科学 2026-04-24 Joseph B. Bak-Coleman , Stephan Lewandowsky , Philipp Lorenz-Spreen , Arvind Narayanan , Amy Orben , Lisa Oswald

Popular multiverse models such as the one based on the string theory landscape require an underlying set of unexplained laws containing many specific features and highly restrictive prerequisites. I explore the consequences of relaxing some…

天体物理学 · 物理学 2007-05-23 P. C. W. Davies

We describe and contrast two distinct problem areas for statistical causality: studying the likely effects of an intervention ("effects of causes"), and studying whether there is a causal link between the observed exposure and outcome in an…

统计理论 · 数学 2021-04-02 A. Philip Dawid , Monica Musio

The relationship between the dynamics of a community and its constituent pairwise interactions is a fundamental problem in ecology. Higher-order ecological effects beyond pairwise interactions may be key to complex ecosystems, but…

种群与进化 · 定量生物学 2018-09-05 Michael Manhart , Eugene I. Shakhnovich

In recent years, a series of high-profile retractions and fraud cases have arisen in physics, sparking a conversation about research integrity and replicability. Here, we discuss how the practice of science is shaped by the social and…

物理与社会 · 物理学 2025-03-20 Hope Bretscher , Núria Muñoz Garganté

Meta-analysis is an important tool for combining results from multiple studies and has been widely used in evidence-based medicine for several decades. This paper reports, for the first time, an interesting and valuable paradox in…

应用统计 · 统计学 2019-05-15 Jiandong Shi , Aimin Wu , Tiejun Tong

Lord's Paradox occurs when a continuous covariate is statistically controlled for and the relationship between a continuous outcome and group status indicator changes in both magnitude and direction. This phenomenon poses a challenge to the…

统计方法学 · 统计学 2017-08-15 ZhiMin Xiao , Steve Higgins , Adetayo Kasim

Different dependence scenarios can arise in multivariate extremes, entailing careful selection of an appropriate class of models. In bivariate extremes, the variables are either asymptotically dependent or are asymptotically independent.…

统计方法学 · 统计学 2015-10-30 Jennifer Wadsworth , Jonathan Tawn , Anthony Davison , Daniel Elton

From behavioral sciences to biology to quantum mechanics, one encounters situations where (i) a system outputs several random variables in response to several inputs, (ii) for each of these responses only some of the inputs may "directly"…

概率论 · 数学 2015-09-01 E. N. Dzhafarov , J. V. Kujala

A recent study of the replicability of key psychological findings is a major contribution toward understanding the human side of the scientific process. Despite the careful and nuanced analysis reported in the paper, mass and social media…

应用统计 · 统计学 2015-10-01 Jeffrey T. Leek , Prasad Patil , Roger D. Peng

The universe is smooth on large scales but very inhomogeneous on small scales. Why is the spacetime on large scales modeled to a good approximation by the Friedmann equations? Are we sure that small-scale non-linearities do not induce a…

宇宙学与河外天体物理 · 物理学 2015-05-18 Daniel Baumann , Alberto Nicolis , Leonardo Senatore , Matias Zaldarriaga

Many organisms live in populations structured by space and by class, exhibit plastic responses to their social partners, and are subject to non-additive ecological and fitness effects. Social evolution theory has long recognized that all of…

种群与进化 · 定量生物学 2014-04-24 Jeremy Van Cleve , Erol Akçay

The field of psychological sciences has been grappling with the replicability crisis. Various issues have been identified as potential sources of this problem. We bring to light a potential source that has largely been overlooked and…

统计方法学 · 统计学 2025-04-28 Yoav Zeevi , Sofi Astashenko , Liad Mudrik , Yoav Benjamini

Estimating causal effects under exogeneity hinges on two key assumptions: unconfoundedness and overlap. Researchers often argue that unconfoundedness is more plausible when more covariates are included in the analysis. Less discussed is the…

统计理论 · 数学 2020-01-06 Alexander D'Amour , Peng Ding , Avi Feller , Lihua Lei , Jasjeet Sekhon

Sustainability of common-pool resources hinges on the interplay between human and environmental systems. However, there is still a lack of a novel and comprehensive framework for modelling extraction of common-pool resources and cooperation…

理论经济学 · 经济学 2023-10-18 Chengyi Tu , Renfei Chen , Ying Fan , Xuwei Pan

This essay is the first systematic account of causal relationships between measurement instruments and the data they elicit in the social sciences. This problem of reflexive measurement is pervasive and profoundly affects social scientific…

物理与社会 · 物理学 2022-08-15 James Michelson

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

计量经济学 · 经济学 2026-01-13 Jiawei Fu , Donald P. Green

Many widely used models amount to an elaborate means of making up numbers--but once a number has been produced, it tends to be taken seriously and its source (the model) is rarely examined carefully. Many widely used models have little…

统计方法学 · 统计学 2022-09-28 Philip B. Stark

That science and other domains are now largely data-driven means virtually unlimited opportunities for statisticians. With great power comes responsibility, so it's imperative that statisticians ensure that the methods being developing to…

统计理论 · 数学 2023-12-25 Ryan Martin