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As scientists we like to think that modern societies and their members base their views, opinions and behaviour on scientific facts. This is not necessarily the case, even though we are all (over-) exposed to information flow through…

Physics and Society · Physics 2014-06-04 Gerardo Iñiguez , Julia Tagüeña-Martínez , Kimmo K. Kaski , R. A. Barrio

It is widely believed that one's peers influence product adoption behaviors. This relationship has been linked to the number of signals a decision-maker receives in a social network. But it is unclear if these same principles hold when the…

Social and Information Networks · Computer Science 2020-09-09 Soumajyoti Sarkar , Ashkan Aleali , Paulo Shakarian , Mika Armenta , Danielle Sanchez , Kiran Lakkaraju

Social media users share their ideas, thoughts, and emotions with other users. However, it is not clear how online users would respond to new research outcomes. This study aims to predict the nature of the emotions expressed by Twitter…

Information Retrieval · Computer Science 2022-09-16 Murtuza Shahzad , Hamed Alhoori

Estimating the treatment effect within network structures is a key focus in online controlled experiments, particularly for social media platforms. We investigate a scenario where the unit-level outcome of interest comprises a series of…

Methodology · Statistics 2025-05-28 Yilin Li , Lu Deng , Yong Wang , Wang Miao

This note is a discussion commenting on the paper by Ly et al. on "Harold Jeffreys's Default Bayes Factor Hypothesis Tests: Explanation, Extension, and Application in Psychology" and on the perceived shortcomings of the classical Bayesian…

Methodology · Statistics 2015-07-28 Christian P. Robert

In a stylized voting model, we establish that increasing the share of critical thinkers -- individuals who are aware of the ambivalent nature of a certain issue -- in the population increases the efficiency of surveys (elections) but might…

Theoretical Economics · Economics 2023-03-30 Brian Jabarian , Elia Sartori

Null hypothesis significance testing remains popular despite decades of concern about misuse and misinterpretation. We believe that much of the problem is due to language: significance testing has little to do with other meanings of the…

Other Statistics · Statistics 2018-10-16 Jonathan Dushoff , Morgan P. Kain , Benjamin M. Bolker

Bayesian inference systems should be able to explain their reasoning to users, translating from numerical to natural language. Previous empirical work has investigated the correspondence between absolute probabilities and linguistic…

Artificial Intelligence · Computer Science 2013-04-08 Christopher Elsaesser , Max Henrion

There is a growing literature on reasoning by large language models (LLMs), but the discussion on the uncertainty in their responses is still lacking. Our aim is to assess the extent of confidence that LLMs have in their answers and how it…

Computation and Language · Computer Science 2024-12-23 Yudi Pawitan , Chris Holmes

This report introduces general ideas and some basic methods of the Bayesian probability theory applied to physics measurements. Our aim is to make the reader familiar, through examples rather than rigorous formalism, with concepts such as:…

Data Analysis, Statistics and Probability · Physics 2009-11-10 G. D'Agostini

It is curious to learn that Enrico Fermi knew how to base probabilistic inference on Bayes theorem, and that some influential notes on statistics for physicists stem from what the author calls elsewhere, but never in these notes, {\it the…

History and Philosophy of Physics · Physics 2007-05-23 G. D'Agostini

Don Fraser has given an interesting account of the agreements and disagreements between Bayesian posterior probabilities and confidence levels. In this comment I discuss some cases where the lack of such agreement is extreme. I then discuss…

Methodology · Statistics 2012-02-06 Larry Wasserman

This article extends the hypotheses assessment method to the case with two competing simple hypotheses. In doing so we further clarify the benefits that hypotheses assessments can bring to classical statistical analyses. Given that…

Methodology · Statistics 2025-03-25 Graham N. Bornholt

PP(top x%) is the proportion of papers of a unit (e.g. an institution or a group of researchers), which belongs to the x% most frequently cited papers in the corresponding fields and publication years. It has been proposed that x% of papers…

Digital Libraries · Computer Science 2016-11-17 Lutz Bornmann , Robin Haunschild

We study the problem of estimating the distribution of effect sizes (the mean of the test statistic under the alternate hypothesis) in a multiple testing setting. Knowing this distribution allows us to calculate the power (type II error) of…

Machine Learning · Statistics 2020-07-28 Jennifer Brennan , Ramya Korlakai Vinayak , Kevin Jamieson

Social influence is the process by which individuals adapt their opinion, revise their beliefs, or change their behavior as a result of social interactions with other people. In our strongly interconnected society, social influence plays a…

Physics and Society · Physics 2013-11-15 Mehdi Moussaid , Juliane E. Kaemmer , Pantelis P. Analytis , Hansjoerg Neth

Randomized controlled trials are a cornerstone of medicine and the social sciences as they enable reliable estimates of causal effects. However, they are costly and time-consuming to conduct, motivating interest in predicting causal effects…

Gorman and Bedrick (2019) argued for using random splits rather than standard splits in NLP experiments. We argue that random splits, like standard splits, lead to overly optimistic performance estimates. We can also split data in biased or…

Computation and Language · Computer Science 2021-04-27 Anders Søgaard , Sebastian Ebert , Jasmijn Bastings , Katja Filippova

This paper concerns the construction of confidence intervals in standard seroprevalence surveys. In particular, we discuss methods for constructing confidence intervals for the proportion of individuals in a population infected with a…

Applications · Statistics 2021-10-05 Thomas J. DiCiccio , David M. Ritzwoller , Joseph P. Romano , Azeem M. Shaikh

This paper develops a theory of learning under ambiguity induced by the decision maker's beliefs about the collection of data correlated with the true state of the world. Within our framework, two classical results on Bayesian learning…

Theoretical Economics · Economics 2026-02-10 Cheaheon Lim
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