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We shall show in this paper that there are experiments which are Bernoulli trials with success probability p > 0.5, and which have the curious feature that it is possible to correctly predict the outcome with probability > p.

Other Statistics · Statistics 2018-01-09 James D. Stein

Contemporary statistical publications rely on simulation to evaluate performance of new methods and compare them with established methods. In the context of meta-analysis of log-odds-ratios, we investigate how the ways in which simulations…

Methodology · Statistics 2020-07-06 Elena Kulinskaya , David C. Hoaglin , Ilyas Bakbergenuly

Despite its importance to experimental design, statistical power (the probability that, given a real effect, an experiment will reject the null hypothesis) has largely been ignored by the NLP community. Underpowered experiments make it more…

Computation and Language · Computer Science 2020-10-15 Dallas Card , Peter Henderson , Urvashi Khandelwal , Robin Jia , Kyle Mahowald , Dan Jurafsky

Causal inference is crucial for understanding the true impact of interventions, policies, or actions, enabling informed decision-making and providing insights into the underlying mechanisms that shape our world. In this paper, we establish…

Methodology · Statistics 2024-03-26 Jingyue Huang , Changbao Wu , Leilei Zeng

Standard random-effects meta-analysis methods perform poorly when applied to few studies only. Such settings however are commonly encountered in practice. It is unclear, whether or to what extent small-sample-size behaviour can be improved…

Methodology · Statistics 2019-01-15 Svenja E. Seide , Christian Röver , Tim Friede

A theoretical framework is proposed for the understanding of verbal perception -- the conversion of words into meaning, modeled as a compromise between lexical demands and contextual constraints -- and the theory is tested against…

Neurons and Cognition · Quantitative Biology 2016-09-19 Francesco Fumarola

The widespread adoption of online randomized controlled experiments (A/B Tests) for decision-making has created ongoing capacity constraints which necessitate interim analyses. As a consequence, platform users are increasingly motivated to…

Applications · Statistics 2025-11-11 Abbas Zaidi , Rina Friedberg , Samir Khan , Yao-Yang Leow , Maulik Soneji , Houssam Nassif , Richard Mudd

Science is a fundamental human activity and we trust its results because it has several error-correcting mechanisms. Its is subject to experimental tests that are replicated by independent parts. Given the huge amount of information…

Physics and Society · Physics 2011-03-25 Andre C. R. Martins

When performing Bayesian inference, we frequently need to work with conditional probability densities. For example, the posterior function is the conditional density of the parameters given the data. Some might worry that conditional…

Methodology · Statistics 2026-03-31 Alex Yan , Cathal Mills , Augustin Marignier , Younjung Kim , Ben Lambert

Statistical significance measures the reliability of a result obtained from a random experiment. We investigate the number of repetitions needed for a statistical result to have a certain significance. In the first step, we consider…

Methodology · Statistics 2024-06-19 Maike Tormählen , Galiya Klinkova , Michael Grabinski

By representing the range of fair betting odds according to a pair of confidence set estimators, dual probability measures on parameter space called frequentist posteriors secure the coherence of subjective inference without any prior…

Statistics Theory · Mathematics 2012-05-02 David R. Bickel

In a recent paper, I argued against backward in time effects used by several authors to explain delayed choice experiments. I gave an explanation showing that there is no physical influence propagating from the present to the past and…

Quantum Physics · Physics 2021-05-19 Hervé Zwirn

Bayesian statistics is based on the subjective definition of probability as {\it ``degree of belief''} and on Bayes' theorem, the basic tool for assigning probabilities to hypotheses combining {\it a priori} judgements and experimental…

High Energy Physics - Phenomenology · Physics 2016-09-01 G. D'Agostini

A central challenge in statistical inference is the presence of confounding variables that may distort observed associations between treatment and outcome. Conventional "causal" methods, grounded in assumptions such as ignorability, exclude…

Methodology · Statistics 2025-09-09 Ellis Scharfenaker , Duncan K. Foley

We study nonasymptotic (finite-sample) confidence intervals for treatment effects in randomized experiments. In the existing literature, the effective sample sizes of nonasymptotic confidence intervals tend to be looser than the…

A/B tests serve the purpose of reliably identifying the effect of changes introduced in online services. It is common for online platforms to run a large number of simultaneous experiments by splitting incoming user traffic randomly in…

Machine Learning · Computer Science 2022-10-18 Alexander Buchholz , Vito Bellini , Giuseppe Di Benedetto , Yannik Stein , Matteo Ruffini , Fabian Moerchen

We conduct the largest ever investigation into the relationship between meteorological conditions and the sentiment of human expressions. To do this, we employ over three and a half billion social media posts from tens of millions of…

Citations acknowledge the impact a scientific publication has on subsequent work. At the same time, deciding how and when to cite a paper, is also heavily influenced by social factors. In this work, we conduct an empirical analysis based on…

Digital Libraries · Computer Science 2021-03-29 Andrea Fronzetti Colladon , Ciriaco Andrea D'Angelo , Peter A. Gloor

This paper offers a commentary on the use of notions of statistical significance in choice modelling. We review the reasons for uncertainty in parameter estimates, provide a precise discussion on the computation of measures of uncertainty…

Econometrics · Economics 2026-05-18 Stephane Hess , Andrew Daly , Michiel Bliemer , Angelo Guevara , Ricardo Daziano , Thijs Dekker

Probabilistic confidence metrics are increasingly adopted as proxies for reasoning quality in Best-of-N selection, under the assumption that higher confidence reflects higher reasoning fidelity. In this work, we challenge this assumption by…

Artificial Intelligence · Computer Science 2026-01-21 Hojin Kim , Jaehyung Kim
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