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Since its introduction by Fisher, the method of hypothesis testing that relies on computing error probabilities has witnessed several developments. Perhaps the most significant development was the seminal contributions of Neyman and Pearson…

Other Statistics · Statistics 2026-05-08 Reason Machete

In cell biology, statistical analysis means testing the hypothesis that there was no effect. This weak form of hypothesis testing neglects effect size, is universally misinterpreted, and is disastrously prone to error when combined with…

Other Quantitative Biology · Quantitative Biology 2025-05-13 Josh L. Morgan

Statistical methods are indispensable to scientific inference. However, there exists a longstanding tension across a wide range of scientific disciplines about the role that ``context'' should play in the application of statistical methods…

Applications · Statistics 2026-04-06 Ashley I Naimi

Most scientific disciplines use significance testing to draw conclusions about experimental or observational data. This classical approach provides a theoretical guarantee for controlling the number of false positives across a set of…

Applications · Statistics 2023-03-06 Stanley E. Lazic

Probability models are only useful at explaining the uncertainty of what we do not know, and should never be used to say what we already know. Probability and statistical models are useless at discerning cause. Classical statistical…

Other Statistics · Statistics 2015-07-30 William M. Briggs

We examine the role of trustworthiness and trust in statistical inference, arguing that it is the extent of trustworthiness in inferential statistical tools which enables trust in the conclusions. Certain tools, such as the p-value and…

Methodology · Statistics 2021-05-11 David J. Hand

The "significance filter" refers to focusing exclusively on statistically significant results. Since frequentist properties such as unbiasedness and coverage are valid only before the data have been observed, there are no guarantees if we…

Methodology · Statistics 2020-09-22 Erik van Zwet , Eric Cator

Statistical significance testing is used in natural language processing (NLP) to determine whether the results of a study or experiment are likely to be due to chance or if they reflect a genuine relationship. A key step in significance…

Computation and Language · Computer Science 2024-01-01 Palash Goyal , Qian Hu , Rahul Gupta

In this manuscript, we discuss the substantial importance of Bayesian reasoning in Social Science research. Particularly, we focus on foundational elements to fit models under the Bayesian paradigm. We aim to offer a frame of reference for…

Methodology · Statistics 2023-06-22 Carolina Luque , Juan Sosa

Often information relevant to a decision is summarized in an index number. This paper explores conditions under which conclusions using index numbers are relevant to the decision that needs to be made. Specifically it explores the idea that…

Theoretical Economics · Economics 2025-01-28 Fred Roberts , Helen Roberts , Alexis Tsoukiàs

Condensing the work of any academic scientist into a one-dimensional measure of scientific quality is a difficult problem. Here, we employ Bayesian statistics to analyze several different measures of quality. Specifically, we determine each…

Physics and Society · Physics 2011-08-31 S. Lehmann , A. D. Jackson , B. E. Lautrup

Bayes factors have become a popular tool in exoplanet spectroscopy for testing atmosphere models against one another. We show that the commonly used method for converting these values into significance "sigmas" is invalid. The formula is…

Earth and Planetary Astrophysics · Physics 2025-10-02 Daniel P. Thorngren , David K. Sing , Sagnick Mukherjee

To properly estimate signal significance while accounting for both statistical and systematic uncertainties, we conducted a study to analyze the impact of typical systematic uncertainties, such as background shape, signal shape, and the…

Data Analysis, Statistics and Probability · Physics 2023-12-19 Yi Ding , Weiming Song , Kai Zhu

A researcher is interested in what sample size is needed to get the required significance of the same test, assuming exactly the same situation that was in the study with the non-significant result. We propose a simple solution to the…

Methodology · Statistics 2022-10-31 I. Novikov , I. Tessler , A. Yakirevich

Statistical significance tests can provide evidence that the observed difference in performance between two methods is not due to chance. In Information Retrieval, some studies have examined the validity and suitability of such tests for…

Information Retrieval · Computer Science 2019-04-09 Javier Parapar , David E. Losada , Manuel A. Presedo-Quindimil , Alvaro Barreiro

Like it or not, attempts to evaluate and monitor the quality of academic research have become increasingly prevalent worldwide. Performance reviews range from at the level of individuals, through research groups and departments, to entire…

Physics and Society · Physics 2017-03-31 R. Kenna , O. Mryglod , B. Berche

The established language for statistical testing --- significance levels, power, and p-values --- is overly complicated and deceptively conclusive. Even teachers of statistics and scientists who use statistics misinterpret the results of…

Statistics Theory · Mathematics 2019-10-23 Glenn Shafer

Recently, it was shown that most popular IR measures are not interval-scaled, implying that decades of experimental IR research used potentially improper methods, which may have produced questionable results. However, it was unclear if and…

Information Retrieval · Computer Science 2021-01-08 Marco Ferrante , Nicola Ferro , Norbert Fuhr

A key goal of empirical research in software engineering is to assess practical significance, which answers whether the observed effects of some compared treatments show a relevant difference in practice in realistic scenarios. Even though…

Software Engineering · Computer Science 2024-10-03 Richard Torkar , Carlo A. Furia , Robert Feldt , Francisco Gomes de Oliveira Neto , Lucas Gren , Per Lenberg , Neil A. Ernst

In a Forum published in EOS Transactions AGU (2009) entitled "Lies, damned lies and statistics (in Geology)", Vermeesch (2009) claims that "statistical significant is not the same as geological significant", in other words, statistical…

Data Analysis, Statistics and Probability · Physics 2015-05-18 D. Sornette , V. Pisarenko