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 |
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Hauptverfasser: | , |
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. |
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ISSN: | 0165-4896 1879-3118 |
DOI: | 10.1016/S0165-4896(01)00081-6 |