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Ein neues Zusammenhangsmaß für ordinalskalierte Merkmale / A New Measure of Association for Ordinal Variables

Author

Listed:
  • Vogel Friedrich
  • Wiede Torben

    (Lehrstuhl für Statistik, Universität Bamberg, Feldkirchenstraße 21, 96052 Bamberg)

Abstract

The paper discusses the construction of a new measure of association for ordinal variables in contingency tables. The association is measured under the condition of given marginal distributions of these variables because these marginal distributions essentially determine the association between the variables. For that reason the construction of the measure is based on suitable modified distances (on the position) of the given two-dimensional frequency distribution to the two-dimensional frequency distributions which are derived from the given marginal distributions and which are characterized by complete monotone positive and negative respectively association. The suggested measure possesses the desirable properties.

Suggested Citation

  • Vogel Friedrich & Wiede Torben, 1994. "Ein neues Zusammenhangsmaß für ordinalskalierte Merkmale / A New Measure of Association for Ordinal Variables," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 213(1), pages 1-30, February.
    • Handle: RePEc:jns:jbstat:v:213:y:1994:i:1:p:1-30
    DOI: 10.1515/jbnst-1994-0102
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    Cited by:

    1. Vogel Friedrich & Kiesl Hans, 2000. "Deskriptive und induktive Eigenschaften zweier Streuungsmaße für nominale Merkmale / Descriptive and Inferential Properties of Two Measures of Dispersion for Nominal Variables," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 220(4), pages 471-496, August.

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