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A Note on the Graphical Representation of Multivariate Binary Data

C. F. Banfield and J. C. Gower

Journal of the Royal Statistical Society Series C, 1980, vol. 29, issue 3, 238-245

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.

Date: 1980
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Journal of the Royal Statistical Society Series C is currently edited by R. Chandler and P. W. F. Smith

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