Accession Number:

AD0269536

Title:

A HIERARCHICAL GROUPING PROCEDURE APPLIED TO A PROBLEM OF GROUPING PROFILES

Descriptive Note:

Corporate Author:

AERONAUTICAL SYSTEMS DIV WRIGHT-PATTERSON AFB OH

Personal Author(s):

Report Date:

1961-10-01

Pagination or Media Count:

1.0

Abstract:

This report describes an application of a hierarchical grouping procedure to a problem of grouping test profiles to maximize the homogeneity of profiles within the same clusters, taking account of all profile variables and all clusters at the same time. The data are 25 test profiles to which Sawrey, Keller, Conger applied a different grouping technique. The results of the two grouping techniques are compared. Desirable characteristics of the hierarchical grouping technique are demonstrated.Any measure of profile similarity can be used. It is unnecessary to specify in advance the number of groups to be formed or to select nucleus groups. The cost of grouping can be evaluated in terms of any criterion expressed as a functional relation, or objective function. The resulting hierarchical structure of k profiles is that which, at each stage k, k-1, ..., 1, least impairs the objective-function value. hus the hierarchical grouping technique shows not only the order in which profiles must be grouped so as to yield the optimal value of the objective function when the number of profiles is systematically reduced, but also the costs of the grouping at each stage of the hierarchy. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE