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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…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

Bayesian model comparison is often based on the posterior distribution over the set of compared models. This distribution is often observed to concentrate on a single model even when other measures of model fit or forecasting ability…

Statistics Theory · Mathematics 2020-03-10 Oscar Oelrich , Shutong Ding , Måns Magnusson , Aki Vehtari , Mattias Villani

Detecting and mitigating bias in speaker verification systems is important, as datasets, processing choices and algorithms can lead to performance differences that systematically favour some groups of people while disadvantaging others.…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-27 Wiebke Hutiri , Tanvina Patel , Aaron Yi Ding , Odette Scharenborg

Due to the recent cases of algorithmic bias in data-driven decision-making, machine learning methods are being put under the microscope in order to understand the root cause of these biases and how to correct them. Here, we consider a basic…

Machine Learning · Computer Science 2016-10-25 L. Elisa Celis , Amit Deshpande , Tarun Kathuria , Nisheeth K. Vishnoi

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

Data Analysis, Statistics and Probability · Physics 2019-02-25 Glen Cowan

Ordinal user-provided ratings across multiple items are frequently encountered in both scientific and commercial applications. Whilst recommender systems are known to do well on these type of data from a predictive point of view, their…

Methodology · Statistics 2025-03-05 Sjoerd Hermes

Conformal prediction is a statistically rigorous method for quantifying uncertainty in models by having them output sets of predictions, with larger sets indicating more uncertainty. However, prediction sets are not inherently actionable;…

Machine Learning · Computer Science 2025-02-17 Jesse C. Cresswell , Bhargava Kumar , Yi Sui , Mouloud Belbahri

Combining measurements which have "theoretical uncertainties" is a delicate matter, due to an unclear statistical basis. We present an algorithm based on the notion that a theoretical uncertainty represents an estimate of bias.

Data Analysis, Statistics and Probability · Physics 2011-08-05 F. C. Porter

Science students must deal with the errors inherent to all physical measurements and be conscious of the necessity to express their as a best estimate and a range of uncertainty. Errors are routinely classified as statistical or systematic.…

Physics Education · Physics 2020-06-03 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

In this article we present very intuitive, easy to follow, yet mathematically rigorous, approach to the so called data fitting process. Rather than minimizing the distance between measured and simulated data points, we prefer to find such…

Data Analysis, Statistics and Probability · Physics 2017-08-07 Marek W. Gutowski

Background and objective. Circular statistics and Rayleigh tests are important tools for analyzing the occurrence of cyclic events. However, current methods fail in the presence of measurement bias, such as incomplete or otherwise…

Quantitative Methods · Quantitative Biology 2023-12-11 Abdallah Alsammani , William C. Stacey , Stephen V. Gliske

We consider the common setting where one observes probability estimates for a large number of events, such as default risks for numerous bonds. Unfortunately, even with unbiased estimates, selecting events corresponding to the most extreme…

Methodology · Statistics 2021-10-14 Gareth M. James , Peter Radchenko , Bradley Rava

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

Many scholars have called for raising statistical hurdles to guard against false discoveries in academic publications. I show these calls may be difficult to justify empirically. Published data exhibit bias: results that fail to meet…

General Finance · Quantitative Finance 2024-04-09 Andrew Y. Chen

Noise is an unavoidable part of most measurements which can hinder a correct interpretation of the data. Uncertainties propagate in the data analysis and can lead to biased results even in basic descriptive statistics such as the central…

Instrumentation and Methods for Astrophysics · Physics 2023-11-27 Lorenzo Rimoldini

Variance in predictions across different trained models is a significant, under-explored source of error in fair binary classification. In practice, the variance on some data examples is so large that decisions can be effectively arbitrary.…

Machine learning (ML) is increasingly used in high-stakes settings, yet multiplicity - the existence of multiple good models - means that some predictions are essentially arbitrary. ML researchers and philosophers posit that multiplicity…

Computers and Society · Computer Science 2025-01-24 Anna P. Meyer , Yea-Seul Kim , Aws Albarghouthi , Loris D'Antoni

Model inadequacy and measurement uncertainty are two of the most confounding aspects of inference and prediction in quantitative sciences. The process of scientific inference (the inverse problem) and prediction (the forward problem)…

Data Analysis, Statistics and Probability · Physics 2017-11-30 Amir Shahmoradi

Few-Shot Event Classification (FSEC) aims at developing a model for event prediction, which can generalize to new event types with a limited number of annotated data. Existing FSEC studies have achieved high accuracy on different…

Computation and Language · Computer Science 2021-08-31 Peiyi Wang , Runxin Xu , Tianyu Liu , Damai Dai , Baobao Chang , Zhifang Sui

Asymmetric statistical errors arise for experimental results obtained by Maximum Likelihood estimation, in cases where the number of results is finite and the log likelihood function is not a symmetric parabola. This note discusses how…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Roger Barlow
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