A new coefficient to measure agreement between continuous variables

Fuente: arXiv
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Autori principali: Vallejos, Ronny, Osorio, Felipe, Ferrer, Clemente
Natura: Preprint
Pubblicazione: 2025
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author Vallejos, Ronny
Osorio, Felipe
Ferrer, Clemente
author_facet Vallejos, Ronny
Osorio, Felipe
Ferrer, Clemente
contents Assessing agreement between two instruments is crucial in clinical studies to evaluate the similarity between two methods measuring the same subjects. This paper introduces a novel coefficient, termed rho1, to measure agreement between continuous variables, focusing on scenarios where two instruments measure experimental units in a study. Unlike existing coefficients, rho1 is based on L1 distances, making it robust to outliers and not relying on nuisance parameters. The coefficient is derived for bivariate normal and elliptically contoured distributions, showcasing its versatility. In the case of normal distributions, rho1 is linked to Lin's coefficient, providing a useful alternative. The paper includes theoretical properties, an inference framework, and numerical experiments to validate the performance of rho1. This novel coefficient presents a valuable tool for researchers assessing agreement between continuous variables in various fields, including clinical studies and spatial analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2507_07913
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A new coefficient to measure agreement between continuous variables
Vallejos, Ronny
Osorio, Felipe
Ferrer, Clemente
Methodology
Applications
Assessing agreement between two instruments is crucial in clinical studies to evaluate the similarity between two methods measuring the same subjects. This paper introduces a novel coefficient, termed rho1, to measure agreement between continuous variables, focusing on scenarios where two instruments measure experimental units in a study. Unlike existing coefficients, rho1 is based on L1 distances, making it robust to outliers and not relying on nuisance parameters. The coefficient is derived for bivariate normal and elliptically contoured distributions, showcasing its versatility. In the case of normal distributions, rho1 is linked to Lin's coefficient, providing a useful alternative. The paper includes theoretical properties, an inference framework, and numerical experiments to validate the performance of rho1. This novel coefficient presents a valuable tool for researchers assessing agreement between continuous variables in various fields, including clinical studies and spatial analysis.
title A new coefficient to measure agreement between continuous variables
topic Methodology
Applications
url https://arxiv.org/abs/2507.07913