Accession Number : AD0775244

Title :   The Effect on Classification Error of Random Permutations of the Features in Representing Multivariate Data by Faces.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Chernoff,Herman ; Rizvi,M. Haseeb

Report Date : 14 DEC 1973

Pagination or Media Count : 21

Abstract : A graphical method of representing multivariate data consists of having a computer draw a cartoon of a face which is determined by 18 parameters (features) including length of nose, curvature of mouth, slant of eyes, length of eyes, etc. If a sample of 8-dimensional vector observations is presented each component of a vector can be made to determine one of the 18 features and 10 constants can be selected for the remaining features. The resulting output is a series of faces, one for each 8 dimensional observation, which can be studied visually. An experiment was designed to evaluate the effect of a random permutation of the features on the visual ability to classify observations from two multivariate populations into two separate groups corresponding to the original populations. It is estimated that a random permutation may affect the error rate in this classification task by about 25%. (Author)

Descriptors :   *Multivariate analysis, Permutations, Experimental design, Graphics, Classification

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE