Extending a scatterplot for displaying group structure in multivariate data : a case study
Date
2005
Journal Title
Journal ISSN
Volume Title
Publisher
Operations Research Society of South Africa
Abstract
ENGLISH SUMMARY : The power of canonical variate analysis (CVA) biplots, when regarded as extensions of or- dinary scatterplots to describe variation and group structure in multivariate observations, is
demonstrated by presenting a case study from the South African wood pulp industry. It is shown how multidimensional standards specified by users of a product may be added to the biplot in the form of acceptance regions such that the roles of the respective variables that influence the product can be ascertained. The case study considers an alternative to CVA
and multivariate analysis of variance (MANOVA) when the application of these procedures becomes questionable as a result of dealing with small sample sizes and heterogeneity of covariance matrices. It is explained how analysis of distance (AOD) analogous to analysis of variance may be performed in such cases. Biplots to accompany AOD are provided. The
biplots and AOD illustrated in the case study from the wood pulp industry have the potential to be used widely where a primary product, influenced by several variables, is produced and
where this product is of importance to various secondary manufacturers depending on which set of multidimensional specifications are met.
Description
CITATION: Gardner, S., et al. 2005. Extending a scatterplot for displaying group structure in multivariate data : a case study. ORiON, 21(2):111–124, doi:10.5784/21-2-23.
The original publication is available at http://orion.journals.ac.za
The original publication is available at http://orion.journals.ac.za
Keywords
Canonical Variate Analysis, Multidimensional scaling, Multivariate analysis
Citation
Gardner, S., et al. 2005. Extending a scatterplot for displaying group structure in multivariate data : a case study. ORiON, 21(2):111–124, doi:10.5784/21-2-23