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

 

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dc.contributor.author Gardner-Lubbe, Sugnet
dc.contributor.author Dube, Felix S
dc.date.accessioned 2015-04-01T06:24:02Z
dc.date.available 2015-04-01T06:24:02Z
dc.date.issued 2015-02-25
dc.identifier.citation Gardner-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.uri http://hdl.handle.net/11427/12626
dc.identifier.uri http://dx.doi.org/10.1186/s13040-015-0041-9
dc.description.abstract 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.
dc.publisher BioMed Central en_ZA
dc.rights Creative Commons Attribution 4.0 International (CC BY 2.0) en_ZA
dc.subject.other Quadratic discriminant analysis en_ZA
dc.subject.other Canonical variate analysis en_ZA
dc.subject.other Biplots en_ZA
dc.subject.other http://www.biodatamining.org/ en_ZA
dc.title Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions
dc.type Journal Article
dc.date.updated 2015-03-20T19:02:13Z
dc.language.rfc3066 en
dc.rights.holder Gardner-Lubbe and Dube; licensee BioMed Central.
uct.type.publication Research en_ZA
uct.type.resource Article en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Statistical Sciences en_ZA
uct.type.filetype
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Gardner-Lubbe, S., & Dube, F. S. (2015). Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions. http://hdl.handle.net/11427/12626 en_ZA
dc.identifier.chicagocitation Gardner-Lubbe, Sugnet, and Felix S Dube "Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions." (2015) http://hdl.handle.net/11427/12626 en_ZA
dc.identifier.vancouvercitation Gardner-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.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


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