A linear regression model for quantile function data applied to paired pulmonary 3d CT scans Article Swipe

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Marie-Félicia Béclin , Pierre Lafaye de Micheaux , Nicolas Molinari , Frédéric Ouimet ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2412.15049

This paper introduces a new objective measure for assessing treatment response in asthmatic patients using computed tomography (CT) imaging data. For each patient, CT scans were obtained before and after one year of monoclonal antibody treatment. Following image segmentation, the Hounsfield unit (HU) values of the voxels were encoded through quantile functions. It is hypothesized that patients with improved conditions after treatment will exhibit better expiration, reflected in higher HU values and an upward shift in the quantile curve. To objectively measure treatment response, a novel linear regression model on quantile functions is developed, drawing inspiration from Verde and Irpino (2010). Unlike their framework, the proposed model is parametric and incorporates distributional assumptions on the errors, enabling statistical inference. The model allows for the explicit calculation of regression coefficient estimators and confidence intervals, similar to conventional linear regression. The corresponding data and R code are available on GitHub to facilitate the reproducibility of the analyses presented.

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Quantile regression Quantile Linear regression Pulmonary function testing Function (biology) Mathematics Linear model Computer science Statistics Medicine Radiology Biology Evolutionary biology

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2412.15049
PDF: https://arxiv.org/pdf/2412.15049
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Related Works: 10
OpenAlex ID: https://openalex.org/W4405644657

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DOI: https://doi.org/10.48550/arxiv.2412.15049

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Title: A linear regression model for quantile function data applied to paired pulmonary 3d CT scans

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-12-19

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Authors: Marie-Félicia Béclin, Pierre Lafaye de Micheaux, Nicolas Molinari, Frédéric Ouimet

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Landing page: https://arxiv.org/abs/2412.15049

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PDF URL: https://arxiv.org/pdf/2412.15049

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Concepts: Quantile regression, Quantile, Linear regression, Pulmonary function testing, Function (biology), Mathematics, Linear model, Computer science, Statistics, Medicine, Radiology, Biology, Evolutionary biology

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