
Accession Number : AD0691118
Title : PROPERTIES OF A CLASS OF OBJECTIVE FUNCTIONS IN CLUSTER ANALYSIS.
Descriptive Note : Technical rept.,
Corporate Author : FLORIDA UNIV GAINESVILLE DEPT OF INDUSTRIAL AND SYSTEMS ENGINEERING
Personal Author(s) : Smith,Carlos Francisco
Report Date : JUN 1969
Pagination or Media Count : 80
Abstract : The criterion which is used to obtain the best clustering of objects is min F(A) (F(A) is the objective function). It happens frequently in practice that NG, the number of groups at which the global optimum (or best) allocation occurs, is very close to n1 groups where n denotes the number of objects to be grouped. This suggests a need to measure the value that the analyst gives to reducing the number of groups at which the global optimum occurs. At the same time it also suggests a need for developing additional criteria that would indicate to the user the existence of meaningful allocations occurring at a number of groups smaller than NG. It is shown here that the objective function (F sub K)(A) may be used as a diagnostic tool toward the identification of illdefined clusters of the data. Properties of the class of objective functions, (F sub K)(A) are presented and discussed. Various examples are presented to illustrate the usefulness of the technique. (Author)
Descriptors : (*STATISTICAL FUNCTIONS, GROUPS(MATHEMATICS)), SAMPLING, STATISTICAL DATA, ANALYSIS OF VARIANCE, COMPUTER PROGRAMS, THESES
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE