SOME APPLICATIONS OF THE “CHERNOFF FACES”: A TECHNIQUE FOR GRAPHICALLY REPRESENTING MULTIVARIATE DATA

This paper presents a brief description and several applications of a relatively new method of graphical representation of multivariate data. The technique has been developed by H. Chernoff, and consists of mapping a vector-valued data point (presently limited to 18 or less components) into a geometrically constructed face. To provide an example of this technique the data analyzed in a recent mortality and pollution study have been mapped into faces. Each of the sixty faces represents a portrait of a particular Standard Metropolitan Statistical Area (SMSA). These faces are then employed to initialize a cluster analysis algorithm, and to examine certain trends in least squares residuals.