Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions

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dc.contributor.authorGardner-Lubbe, Sugnet
dc.contributor.authorDube, Felix S
dc.date.accessioned2015-04-01T06:24:02Z
dc.date.available2015-04-01T06:24:02Z
dc.date.issued2015-02-25
dc.date.updated2015-03-20T19:02:13Z
dc.description.abstractBackground: When comparing diseased and non-diseased patients in order to discriminate between the aspects associated with the specific disease, it is often observed that the diseased patients have more variability than the non-diseased patients. In such cases Quadratic discriminant analysis is required which is based on the estimation of different covariance structures for the different groups. Having different covariance matrices means the Canonical variate transformation cannot be used to obtain a visual representation of the discrimination and group separation. Results: In this paper an alternative method is proposed: combining the different transformations for the different groups into a single representation of the sample points with classification regions. In order to associate the differences in variables with group discrimination, a biplot is produced which include information on the variables, samples and their relationship.
dc.identifier.apacitationGardner-Lubbe, S., & Dube, F. S. (2015). Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions. http://hdl.handle.net/11427/12626en_ZA
dc.identifier.chicagocitationGardner-Lubbe, Sugnet, and Felix S Dube "Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions." (2015) http://hdl.handle.net/11427/12626en_ZA
dc.identifier.citationGardner-Lubbe, Sugnet and Dube, Felix S. (2015) Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions. BioData Mining. 8(1):8-18.
dc.identifier.ris TY - Journal Article AU - Gardner-Lubbe, Sugnet AU - Dube, Felix S AB - Background: When comparing diseased and non-diseased patients in order to discriminate between the aspects associated with the specific disease, it is often observed that the diseased patients have more variability than the non-diseased patients. In such cases Quadratic discriminant analysis is required which is based on the estimation of different covariance structures for the different groups. Having different covariance matrices means the Canonical variate transformation cannot be used to obtain a visual representation of the discrimination and group separation. Results: In this paper an alternative method is proposed: combining the different transformations for the different groups into a single representation of the sample points with classification regions. In order to associate the differences in variables with group discrimination, a biplot is produced which include information on the variables, samples and their relationship. DA - 2015-02-25 DB - OpenUCT DO - 10.1186/s13040-015-0041-9 DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2015 T1 - Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions TI - Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions UR - http://hdl.handle.net/11427/12626 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/12626
dc.identifier.urihttp://dx.doi.org/10.1186/s13040-015-0041-9
dc.identifier.vancouvercitationGardner-Lubbe S, Dube FS. Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions. 2015; http://hdl.handle.net/11427/12626.en_ZA
dc.language.rfc3066en
dc.publisherBioMed Centralen_ZA
dc.publisher.departmentDepartment of Statistical Sciencesen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.rightsCreative Commons Attribution 4.0 International (CC BY 2.0)en_ZA
dc.rights.holderGardner-Lubbe and Dube; licensee BioMed Central.
dc.subject.otherQuadratic discriminant analysisen_ZA
dc.subject.otherCanonical variate analysisen_ZA
dc.subject.otherBiplotsen_ZA
dc.subject.otherhttp://www.biodatamining.org/en_ZA
dc.titleVisualisation of quadratic discriminant analysis and its application in exploration of microbial interactions
dc.typeJournal Article
uct.type.filetype
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceArticleen_ZA
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