Klassifikation und Aggregation in der Input-Output-Analyse
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Aggregation in Input-Output-Analysis presumes a classification of the industries to be aggregated. In addition to stability of product-mix homogeneity of input-structures can be used as a criterion of classification according toMalinvaud. In this case homogeneity of inputstructures is characterized by identical input-coefficients.
As it is difficult to find industries with identical input-coefficients—only those industries can be consolidated—the author tries to apply the correlation coefficient as a measure of homogeneity of input-structures. The input-structure of an industriel j is characterized by the column-vectorj of the matrix of the table of flows. Mutually disjoint suvsets of industries with homogeneous input-structures may be classified by the means of the matrix of intercorrelations of the input-structures of the industries. Factor analysis can now be used as an automatically method for classification.
The structure of the varimax-rotated matrix of factor loadings shows those variables being homogeneous with regard to the criterion of classification. As only industries with homogeneous input-structures are aggregable, the matrix of factor loadings can be used as a classification and aggregation pattern at the same time.
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