A Note on the Graphical Representation of Multivariate Binary Data | Zendy

Banfield C. F. | Zendy; Gower J. C. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

A Note on the Graphical Representation of Multivariate Binary Data

Author(s) -

Banfield C. F.,

Gower J. C.

Publication year - 1980

Publication title -

journal of the royal statistical society: series c (applied statistics)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.205

H-Index - 72

eISSN - 1467-9876

pISSN - 0035-9254

DOI - 10.2307/2346897

Subject(s) - ordination , binary number , representation (politics) , table (database) , dimension (graph theory) , similarity (geometry) , mathematics , simple (philosophy) , binary data , cluster analysis , function (biology) , combinatorics , algorithm , multivariate statistics , computer science , discrete mathematics , statistics , data mining , arithmetic , artificial intelligence , politics , political science , law , philosophy , epistemology , evolutionary biology , biology , image (mathematics)

S ummary Various ordination methods for mapping n units characterized by v binary variables are in common use in which the distance between points P i and P j , representing units i and j , approximates some function (a similarity coefficient) of ( a ij , b ij , c ij , d ij ) , the usual cell‐counts in a 2 × 2 table. Ordination generally requires (n – 1) dimensions to represent the distances exactly, but the quantities b ij ‐ c ij 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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research