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The mixture method of clustering applied to 3 way data

, : The mixture method of clustering applied to 3 way data. Journal of Classification 2(1): 109-126

Clustering or classifying individuals into groups such that there is relative homogeneity within the groups and heterogeneity between the groups is a problem which has been considered for many years. Most available clustering techniques are applicable only to a 2-way data set, where one of the modes is to be partitioned into groups on the basis of the other mode. Suppose the data set is 3-way. then what is needed is a multivariate technique which will cluster one of the modes on the basis of both of the other modes simultaneously. By appropriate specification of the underlying model, the mixture maximum likelihood approach to clustering can be applied in the context of a 3-way table. It is illustrated using a soybean data set which consists of multiattribute measurements on a number of genotypes each grown in several environments. Although the problem is set in the framework of clustering genotypes, the technique is applicable to other types of 3-way data sets.

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