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Random effects are a flexible addition to statistical models to capture structural heterogeneity in the data, such as spatial dependencies, individual differences, temporal dependencies, or non-linear effects. Testing for the presence (or…

统计方法学 · 统计学 2024-10-21 Fabio Vieira , Hongwei Zhao , Joris Mulder

The experimental issue of the search for new particles of unknown mass poses the challenge of exploring a wide interval to look for the usual signatures represented by excess of events above the background. A side effect of such a broad…

数据分析、统计与概率 · 物理学 2009-11-11 Gioacchino Ranucci

Consider an experiment involving a potentially small number of subjects. Some random variables are observed on each subject: a high-dimensional one called the "observed" random variable, and a one-dimensional one called the "outcome" random…

机器学习 · 统计学 2018-06-15 Tarun Yellamraju , Mireille Boutin

In many hypothesis testing applications, we have mixed priors, with well-motivated informative priors for some parameters but not for others. The Bayesian methodology uses the Bayes factor and is helpful for the informative priors, as it…

数据分析、统计与概率 · 物理学 2022-10-05 Jakob Robnik , Uroš Seljak

Visual statistical inference is a way to determine significance of patterns found while exploring data. It is dependent on the evaluation of a lineup, of a data plot among a sample of null plots, by human observers. Each individual is…

应用统计 · 统计学 2014-08-12 Mahbubul Majumder , Heike Hofmann , Dianne Cook

The coefficient of determination is well defined for linear models and its extension is long wanted for mixed-effects models. We revisit its extension to define measures for proportions of variation explained by the whole model, fixed…

统计方法学 · 统计学 2022-05-04 Dabao Zhang

The cleanest way to discover a new particle is generally the "bump-hunt" methodology: looking for a localised excess in a mass (or related) distribution. However, if the mass of the particle being discovered is not known the procedure of…

高能物理 - 唯象学 · 物理学 2025-06-03 William Murray , Matt O'Neill , Finn O'Gara

Leveraging external controls -- relevant individual patient data under control from external trials or real-world data -- has the potential to reduce the cost of randomized controlled trials (RCTs) while increasing the proportion of trial…

统计方法学 · 统计学 2022-07-13 Yanyao Yi , Ying Zhang , Yu Du , Ting Ye

We look at the distribution of the Bayesian evidence for mock realizations of supernova and baryon acoustic oscillation data. The ratios of Bayesian evidences of different models are often used to perform model selection. The significance…

宇宙学与河外天体物理 · 物理学 2022-07-20 Ryan E. Keeley , Arman Shafieloo

We follow the time sequence of binary elastic collisions in a small collection of hard-core particles. Intervals between the collisions are characterized by the numbers of collisions of different pairs in a given time. It was shown…

混沌动力学 · 物理学 2012-02-21 Alexander Jonathan Vidgop , Itzhak Fouxon

The factor analysis model is a statistical model where a certain number of hidden random variables, called factors, affect linearly the behaviour of another set of observed random variables, with additional random noise. The main assumption…

统计理论 · 数学 2023-12-06 Muhammad Ardiyansyah , Luca Sodomaco

The simplest observables used to probe the interaction of hard partons with a QCD medium in ultrarelativistic heavy ion collisions measure disappearance, such as the nuclear modification factor R_AA. The information content of such…

高能物理 - 唯象学 · 物理学 2015-10-28 Thorsten Renk

The unprecedented precision of atom interferometry will soon lead to laboratory tests of general relativity to levels that will rival or exceed those reached by astrophysical observations. We propose such an experiment that will initially…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Savas Dimopoulos , Peter W. Graham , Jason M. Hogan , Mark A. Kasevich

The LHC experiments have great potential in discovering many possible new particles up to the TeV scale. The significance calculation of an observation of a physics signal with known location and shape is no longer valid when either the…

仪器与探测器 · 物理学 2009-01-07 Yongsheng Gao , Liang Lu , Xinlei Wang

We propose a simple abstract formalisation of the act of observation, in which the system and the observer are assumed to be in a pure state and their interaction deterministically changes the states such that the outcome can be read from…

量子物理 · 物理学 2007-05-23 Sven Aerts

A continuous approximation for the results of [1] is obtained. In this approximation the energy distribution is represented in the form of the product of the Gibbs factor and superstatistics factor. The mutual weights of the factors are…

化学物理 · 物理学 2007-05-23 V. V. Ryazanov

Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

统计方法学 · 统计学 2025-12-03 Ruoqi Yu , Peng Ding

Machine-learning techniques have become fundamental in high-energy physics and, for new physics searches, it is crucial to know their performance in terms of experimental sensitivity, understood as the statistical significance of the…

Hazard ratios are prone to selection bias, compromising their use as causal estimands. On the other hand, the hazard difference has been shown to remain unaffected by the selection of frailty factors over time. Therefore, observed hazard…

统计理论 · 数学 2022-11-01 Richard Post , Edwin van den Heuvel , Hein Putter

A factor model with a break in its factor loadings is observationally equivalent to a model without changes in the loadings but a change in the variance of its factors. This effectively transforms a structural change problem of high…

计量经济学 · 经济学 2023-12-06 Jushan Bai , Jiangtao Duan , Xu Han