A note on the graphical representation of multivariate binary data

A - Papers appearing in refereed journals

Banfield, C. F. and Gower, J. C. 1980. A note on the graphical representation of multivariate binary data. Journal of the Royal Statistical Society, Series C (Applied Statistics). 29 (3), pp. 238-245. https://doi.org/10.2307/2346897

AuthorsBanfield, C. F. and Gower, J. C.
Abstract

Various ordination methods for mapping n units characterized by v binary variables are in common use in which the distance between points Pi and Pj, representing units i and j, approximates some function (a similarity coefficient) of (aij ,bij, cij, dij), the usual cell-counts in a 2 × 2 table. Ordination generally requires (n - 1) dimensions to represent the distances exactly, but the quantities bij - cij can always be represented in one dimension. This leads to a simple graphical extension of ordination that helps with interpretation, reveals discrepancies, screens clustering possibilities and permits the recovery of approximations to all the (a,b,c,d)-values. Two examples illustrate the technique.

Year of Publication1980
JournalJournal of the Royal Statistical Society, Series C (Applied Statistics)
Journal citation29 (3), pp. 238-245
Digital Object Identifier (DOI)https://doi.org/10.2307/2346897
Open accessPublished as non-open access
PublisherWiley
Wiley-Blackwell
ISSN0035-9254

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