Analysis of Antibody Data Using Skew-normal and Skew-T Mixture Models

Gaussian mixture models, which assume a Normal distribution for each component, are popular in antibody (or serological) data analysis to help determining antibody-positive and antibody-negative individuals. In this work, we advocate using finite mixture models based on Skew-Normal and Skew-t distr...

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Main Authors: Tiago Dias Domingues, Helena Mouriño, Nuno Sepúlveda
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2024-02-01
Series:Revstat Statistical Journal
Subjects:
Online Access:https://revstat.ine.pt/index.php/REVSTAT/article/view/455
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author Tiago Dias Domingues
Helena Mouriño
Nuno Sepúlveda
author_facet Tiago Dias Domingues
Helena Mouriño
Nuno Sepúlveda
author_sort Tiago Dias Domingues
collection DOAJ
description Gaussian mixture models, which assume a Normal distribution for each component, are popular in antibody (or serological) data analysis to help determining antibody-positive and antibody-negative individuals. In this work, we advocate using finite mixture models based on Skew-Normal and Skew-t distributions for serological data analysis. These flexible mixing distributions have the advantage of describing right and left asymmetry often observed in the distributions of known antibody-negative and antibody-positive individuals, respectively. We illustrate the application of these alternative mixture models in a data set on the role of human herpesviruses in the Myalgic Encephalomyelitis/Chronic Fatigue Syndrome.
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spelling doaj.art-7074eafa1377410d97c84517497603b72024-02-22T12:22:52ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712024-02-0122110.57805/revstat.v22i1.455Analysis of Antibody Data Using Skew-normal and Skew-T Mixture ModelsTiago Dias Domingues 0Helena Mouriño1Nuno Sepúlveda2Universidade de LisboaUniversidade de LisboaUniversidade de Lisboa Gaussian mixture models, which assume a Normal distribution for each component, are popular in antibody (or serological) data analysis to help determining antibody-positive and antibody-negative individuals. In this work, we advocate using finite mixture models based on Skew-Normal and Skew-t distributions for serological data analysis. These flexible mixing distributions have the advantage of describing right and left asymmetry often observed in the distributions of known antibody-negative and antibody-positive individuals, respectively. We illustrate the application of these alternative mixture models in a data set on the role of human herpesviruses in the Myalgic Encephalomyelitis/Chronic Fatigue Syndrome. https://revstat.ine.pt/index.php/REVSTAT/article/view/455Finite mixture modelsSkew-Normalskew-tseropositivity
spellingShingle Tiago Dias Domingues
Helena Mouriño
Nuno Sepúlveda
Analysis of Antibody Data Using Skew-normal and Skew-T Mixture Models
Revstat Statistical Journal
Finite mixture models
Skew-Normal
skew-t
seropositivity
title Analysis of Antibody Data Using Skew-normal and Skew-T Mixture Models
title_full Analysis of Antibody Data Using Skew-normal and Skew-T Mixture Models
title_fullStr Analysis of Antibody Data Using Skew-normal and Skew-T Mixture Models
title_full_unstemmed Analysis of Antibody Data Using Skew-normal and Skew-T Mixture Models
title_short Analysis of Antibody Data Using Skew-normal and Skew-T Mixture Models
title_sort analysis of antibody data using skew normal and skew t mixture models
topic Finite mixture models
Skew-Normal
skew-t
seropositivity
url https://revstat.ine.pt/index.php/REVSTAT/article/view/455
work_keys_str_mv AT tiagodiasdomingues analysisofantibodydatausingskewnormalandskewtmixturemodels
AT helenamourino analysisofantibodydatausingskewnormalandskewtmixturemodels
AT nunosepulveda analysisofantibodydatausingskewnormalandskewtmixturemodels