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Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data

OBJECTIVE: Multivariate data sets often differ in several factors or derived statistical parameters, which have to be selected for a valid interpretation. Basing this selection on traditional statistical limits leads occasionally to the perception of losing information from a data set. This paper pr...

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Detalles Bibliográficos
Autores principales: Ultsch, Alfred, Lötsch, Jörn
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4465645/
https://www.ncbi.nlm.nih.gov/pubmed/26061064
http://dx.doi.org/10.1371/journal.pone.0129767
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author Ultsch, Alfred
Lötsch, Jörn
author_facet Ultsch, Alfred
Lötsch, Jörn
author_sort Ultsch, Alfred
collection PubMed
description OBJECTIVE: Multivariate data sets often differ in several factors or derived statistical parameters, which have to be selected for a valid interpretation. Basing this selection on traditional statistical limits leads occasionally to the perception of losing information from a data set. This paper proposes a novel method for calculating precise limits for the selection of parameter sets. METHODS: The algorithm is based on an ABC analysis and calculates these limits on the basis of the mathematical properties of the distribution of the analyzed items. The limits im-plement the aim of any ABC analysis, i.e., comparing the increase in yield to the required additional effort. In particular, the limit for set A, the “important few”, is optimized in a way that both, the effort and the yield for the other sets (B and C), are minimized and the additional gain is optimized. RESULTS: As a typical example from biomedical research, the feasibility of the ABC analysis as an objective replacement for classical subjective limits to select highly relevant variance components of pain thresholds is presented. The proposed method improved the biological inter-pretation of the results and increased the fraction of valid information that was obtained from the experimental data. CONCLUSIONS: The method is applicable to many further biomedical problems in-cluding the creation of diagnostic complex biomarkers or short screening tests from comprehensive test batteries. Thus, the ABC analysis can be proposed as a mathematically valid replacement for traditional limits to maximize the information obtained from multivariate research data.
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spelling pubmed-44656452015-06-25 Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data Ultsch, Alfred Lötsch, Jörn PLoS One Research Article OBJECTIVE: Multivariate data sets often differ in several factors or derived statistical parameters, which have to be selected for a valid interpretation. Basing this selection on traditional statistical limits leads occasionally to the perception of losing information from a data set. This paper proposes a novel method for calculating precise limits for the selection of parameter sets. METHODS: The algorithm is based on an ABC analysis and calculates these limits on the basis of the mathematical properties of the distribution of the analyzed items. The limits im-plement the aim of any ABC analysis, i.e., comparing the increase in yield to the required additional effort. In particular, the limit for set A, the “important few”, is optimized in a way that both, the effort and the yield for the other sets (B and C), are minimized and the additional gain is optimized. RESULTS: As a typical example from biomedical research, the feasibility of the ABC analysis as an objective replacement for classical subjective limits to select highly relevant variance components of pain thresholds is presented. The proposed method improved the biological inter-pretation of the results and increased the fraction of valid information that was obtained from the experimental data. CONCLUSIONS: The method is applicable to many further biomedical problems in-cluding the creation of diagnostic complex biomarkers or short screening tests from comprehensive test batteries. Thus, the ABC analysis can be proposed as a mathematically valid replacement for traditional limits to maximize the information obtained from multivariate research data. Public Library of Science 2015-06-10 /pmc/articles/PMC4465645/ /pubmed/26061064 http://dx.doi.org/10.1371/journal.pone.0129767 Text en © 2015 Ultsch, Lötsch http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Ultsch, Alfred
Lötsch, Jörn
Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data
title Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data
title_full Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data
title_fullStr Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data
title_full_unstemmed Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data
title_short Computed ABC Analysis for Rational Selection of Most Informative Variables in Multivariate Data
title_sort computed abc analysis for rational selection of most informative variables in multivariate data
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4465645/
https://www.ncbi.nlm.nih.gov/pubmed/26061064
http://dx.doi.org/10.1371/journal.pone.0129767
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