Adding a point to vector diagrams in multivariate analysis

A - Papers appearing in refereed journals

Gower, J. C. 1968. Adding a point to vector diagrams in multivariate analysis. Biometrika. 55 (3), pp. 582-585. https://doi.org/10.1093/biomet/55.3.582

AuthorsGower, J. C.
Abstract

A set of n base points P4i=1, 2,…, n), with known co-ordinates relative to orthogonal axes, and a further point Pn+1, with known distance from each of the base set, are given. The co-ordinates of Pn+1relative to the axes of the base set are found. The formula is particularly simple when the base set is referred to its principal axes, when the co-ordinates of Pn+1 for a subset of all the axes can be calculated from the co-ordinates of the Pi in this subset only. The classical results for adding a point to a principal components or canonical variates analyses are obtained when the base set is derived using the appropriate distance functions. An example is given.

Year of Publication1968
JournalBiometrika
Journal citation55 (3), pp. 582-585
Digital Object Identifier (DOI)https://doi.org/10.1093/biomet/55.3.582
Open accessPublished as green open access
Publisher's version
Output statusPublished
ISSN0006-3444
PublisherOxford University Press (OUP)

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