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Abstract
Journal of Official Statistics, Vol.14, No.3, 1998. pp. 255266

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Linking of Classifications by Linear Mappings

Abstract:
Statistical classifications must be revised from time to time. In order to compare different time points the links between the versions of a classification must be established. Correspondence tables describe these links. This article formulates the links as linear mappings and the correspondence tables as matrices. The evolution of a classification or the linking of a chain of several classifications may then be described by matrix products. The aggregation to higher levels of a classification is again a linear mapping and therefore any correspondence table between any two levels of two classifications may be derived by a product of basic matrices.

Keywords:
Nomenclature; correspondence table; revision of classification; time series.

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