Standardization of Measures Prior to Cluster Analysis

A procedure for scaling measurements using a reference individual as a standard of comparison is presented, which appears to remove extraneous variability while retaining the information necessary for classification in cluster analysis.

Abstract

A common problem in cluster analysis is the determination of a scale-free measure of distance between individuals. This paper presents a procedure for scaling measurements using a reference individual as a standard of comparison. The procedure is particularly useful in classification of the results of laboratory procedures, where a reference standard is routinely produced. An example is the clustering of patterns that result from crossed antigen-antibody electrophoresis for determining the phenotype of the serum protein alpha 1-antitrypsin. The procedure appears to remove extraneous variability while retaining the information necessary for classification.