Consistency in ordinal data analysis I

In general, objective functions are applied in data analysis in order to compute optimal reductions of an observed set of data. In the social sciences data often have a non-euclidean (non-metric) structure. Therefore, independently of any particular field of data analysis as, for instance, cluster a...

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Veröffentlicht in:Mathematical social sciences 2002, Vol.43 (1), p.79-113
Hauptverfasser: Herden, Gerhard, Pallack, Andreas
Format: Artikel
Sprache:eng
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Zusammenfassung:In general, objective functions are applied in data analysis in order to compute optimal reductions of an observed set of data. In the social sciences data often have a non-euclidean (non-metric) structure. Therefore, independently of any particular field of data analysis as, for instance, cluster analysis, factor analysis, linear regression, multidimensional scaling objective functions will be characterized that are based upon non-euclidean data. These characterizations will be applied in utility theory and cluster analysis.
ISSN:0165-4896
1879-3118
DOI:10.1016/S0165-4896(01)00081-6