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Computer experiments are becoming increasingly important in scientific investigations. In the presence of uncertainty, analysts employ probabilistic sensitivity methods to identify the key-drivers of change in the quantities of interest.…

Methodology · Statistics 2024-07-02 Isadora Antoniano-Villalobos , Emanuele Borgonovo , Xuefei Lu

Economic evaluations from individual-level data are an important component of the process of technology appraisal, with a view to informing resource allocation decisions. A critical problem in these analyses is that both effectiveness and…

Applications · Statistics 2018-02-01 Andrea Gabrio , Alexina J. Mason , Gianluca Baio

Bayesian inference is often utilized for uncertainty quantification tasks. A recent analysis by Xu and Raginsky 2022 rigorously decomposed the predictive uncertainty in Bayesian inference into two uncertainties, called aleatoric and…

Machine Learning · Statistics 2023-07-25 Futoshi Futami , Tomoharu Iwata

We consider the estimation of measures of model performance in a target population when covariate and outcome data are available on a sample from some source population and covariate data, but not outcome data, are available on a simple…

Methodology · Statistics 2023-06-16 Jon A. Steingrimsson , Sarah E. Robertson , Issa J. Dahabreh

We propose and discuss sensitivity metrics for reliability analysis, which are based on the value of information. These metrics are easier to interpret than other existing sensitivity metrics in the context of a specific decision and they…

Optimization and Control · Mathematics 2021-12-03 Daniel Straub , Max Ehre , Iason Papaioannou

Sensitivity analysis (SA) has much to offer for a very large class of applications, such as model selection, calibration, optimization, quality assurance and many others. Sensitivity analysis offers crucial contextual information regarding…

Unobserved effect modifiers can induce bias when generalizing causal effect estimates to target populations. In this work, we extend a sensitivity analysis framework assessing the robustness of study results to unobserved effect…

Background: Non-inferiority studies based on non-randomised data are increasingly used in clinical research but remain prone to unmeasured confounding. The classical E-value offers a simple way to quantify such bias but has been applied…

Methodology · Statistics 2025-11-25 Daijiro Kabata , Takumi Imai

A key objective of decomposition analysis is to identify a factor (the 'mediator') contributing to disparities in an outcome between social groups. In decomposition analysis, a scholarly interest often centers on estimating how much the…

Methodology · Statistics 2022-05-27 Soojin Park , Suyeon Kang , Chioun Lee , Shujie Ma

Unmeasured confounding may undermine the validity of causal inference with observational studies. Sensitivity analysis provides an attractive way to partially circumvent this issue by assessing the potential influence of unmeasured…

Statistics Theory · Mathematics 2015-07-15 Peng Ding , Tyler VanderWeele

Most analyses of randomised trials with incomplete outcomes make untestable assumptions and should therefore be subjected to sensitivity analyses. However, methods for sensitivity analyses are not widely used. We propose a mean score…

Methodology · Statistics 2020-07-21 Ian R. White , James Carpenter , Nicholas J. Horton

In many applications of causal inference, the treatment received by one unit may influence the outcome of another, a phenomenon referred to as interference. Although there are several frameworks for conducting causal inference in the…

Methodology · Statistics 2025-11-27 Matvey Ortyashov , AmirEmad Ghassami

Bayesian data analysis (BDA) is today used by a multitude of research disciplines. These disciplines use BDA as a way to embrace uncertainty by using multilevel models and making use of all available information at hand. In this chapter, we…

Software Engineering · Computer Science 2020-01-03 Richard Torkar , Robert Feldt , Carlo A. Furia

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

Computation · Statistics 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

Inferences about hypotheses are ubiquitous in the cognitive sciences. Bayes factors provide one general way to compare different hypotheses by their compatibility with the observed data. Those quantifications can then also be used to choose…

Suppose we have a Bayesian model which combines evidence from several different sources. We want to know which model parameters most affect the estimate or decision from the model, or which of the parameter uncertainties drive the decision…

Applications · Statistics 2021-11-25 Christopher Jackson , Anne Presanis , Stefano Conti , Daniela De Angelis

Sensitivity analysis is concerned with understanding how the model output depends on uncertainties (variances) in inputs and then identifies which inputs are important in contributing to the prediction imprecision. Uncertainty determination…

Physics and Society · Physics 2017-01-04 Yueying Zhu , Qiuping Alexandre Wang , Wei Li , Xu Cai

Sensitivity analysis measures the influence of a Bayesian network's parameters on a quantity of interest defined by the network, such as the probability of a variable taking a specific value. Various sensitivity measures have been defined…

Methodology · Statistics 2023-02-02 Rafael Ballester-Ripoll , Manuele Leonelli

To investigate the robustness of the output probabilities of a Bayesian network, a sensitivity analysis can be performed. A one-way sensitivity analysis establishes, for each of the probability parameters of a network, a function expressing…

Artificial Intelligence · Computer Science 2013-01-18 Uffe Kjærulff , Linda C. van der Gaag

This article gives a survey of the e-value, a statistical significance measure a.k.a. the evidence rendered by observational data, X, in support of a statistical hypothesis, H, or, the other way around, the epistemic value of H given X. The…

Methodology · Statistics 2020-04-29 Julio Michael Stern , Carlos Alberto de Braganca Pereira