Random Measures, ANOVA Models and Quantifying Uncertainty in Randomized Controlled Trials

Fuente: arXiv
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Autori principali: Bastian, Caleb Deen, Rabitz, Herschel, Rempala, Grzegorz A
Natura: Preprint
Pubblicazione: 2023
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author Bastian, Caleb Deen
Rabitz, Herschel
Rempala, Grzegorz A
author_facet Bastian, Caleb Deen
Rabitz, Herschel
Rempala, Grzegorz A
contents The paper introduces a novel approach to global sensitivity analysis, grounded in the variance-covariance structure of random variables derived from random measures. The proposed methodology facilitates the application of information-theoretic rules for uncertainty quantification, offering several advantages. Specifically, the approach provides valuable insights into the decomposition of variance within discrete subspaces, similar to the standard ANOVA analysis. To illustrate this point, the method is applied to datasets obtained from the analysis of randomized controlled trials on evaluating the efficacy of the COVID-19 vaccine and assessing clinical endpoints in a lung cancer study.
format Preprint
id arxiv_https___arxiv_org_abs_2312_10541
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Random Measures, ANOVA Models and Quantifying Uncertainty in Randomized Controlled Trials
Bastian, Caleb Deen
Rabitz, Herschel
Rempala, Grzegorz A
Methodology
Quantitative Methods
92-05, 92-11
The paper introduces a novel approach to global sensitivity analysis, grounded in the variance-covariance structure of random variables derived from random measures. The proposed methodology facilitates the application of information-theoretic rules for uncertainty quantification, offering several advantages. Specifically, the approach provides valuable insights into the decomposition of variance within discrete subspaces, similar to the standard ANOVA analysis. To illustrate this point, the method is applied to datasets obtained from the analysis of randomized controlled trials on evaluating the efficacy of the COVID-19 vaccine and assessing clinical endpoints in a lung cancer study.
title Random Measures, ANOVA Models and Quantifying Uncertainty in Randomized Controlled Trials
topic Methodology
Quantitative Methods
92-05, 92-11
url https://arxiv.org/abs/2312.10541