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Deskriptive und induktive Eigenschaften zweier Streuungsmaße für nominale Merkmale / Descriptive and Inferential Properties of Two Measures of Dispersion for Nominal Variables

Author

Listed:
  • Vogel Friedrich

    (Otto-Friedrich-Universität Bamberg, Lehrstuhl für Statistik, Feldkirchenstraße 21, D-96045 Bamberg)

  • Kiesl Hans

    (Dipl.-Math, Otto-Friedrich-Universität Bamberg, Lehrstuhl für Statistik, Feldkirchenstraße 21, D-96045 Bamberg)

Abstract

The first section of this paper focusses on the descriptive properties of two measures of dispersion for nominal variables, the measure of entropy and a new positional measure (which positions a given distribution between the two extremes, the distributions with minimal and maximal dispersion). The two different ways of measuring dispersion are compared graphically. In the following section, estimators for both measures are derived and it is shown that these estimators are asymptotically unbiased and asymptotically normally distributed. Finally approximative tests and confidence intervals are established.

Suggested Citation

  • 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.
    • Handle: RePEc:jns:jbstat:v:220:y:2000:i:4:p:471-496
    DOI: 10.1515/jbnst-2000-0407
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    References listed on IDEAS

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    1. 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.
    2. Vogel Friedrich & Dobbener Reinhard, 1982. "Ein Streuungsmaß für komparative Merkmale," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 197(2), pages 145-158, February.
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