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A Generalized Index of Concentration

Author

Listed:
  • Rein Taagepera

    (University of California, Irvine)

  • James Lee Ray

    (University of New Mexico)

Abstract

A generalized nth power index of concentration is defined; for n = 1 it yields the entropy-based "relative redundancy, " and for n = 2 it yields the Ray and Singer (1973) concentration coefficient. Relations are established with a dozen other indices of concentration, diversity, fragmentation, differentiation, and inequality used in social science literature. Explicit conversion formulas are given for these often apparently unrelated indices. For multicomponent systems, equivalent two-component systems are defined.

Suggested Citation

  • Rein Taagepera & James Lee Ray, 1977. "A Generalized Index of Concentration," Sociological Methods & Research, , vol. 5(3), pages 367-384, February.
    • Handle: RePEc:sae:somere:v:5:y:1977:i:3:p:367-384
    DOI: 10.1177/004912417700500306
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    References listed on IDEAS

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    1. Theil, Henri, 1969. "The Desired Political Entropy," American Political Science Review, Cambridge University Press, vol. 63(2), pages 521-525, June.
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    Cited by:

    1. Thomas Kemeny & Abigail Cooke, 2018. "Spillovers from immigrant diversity in cities," Journal of Economic Geography, Oxford University Press, vol. 18(1), pages 213-245.
    2. Sonja Sperber & Christian Linder, 2018. "The impact of top management teams on firm innovativeness: a configurational analysis of demographic characteristics, leadership style and team power distribution," Review of Managerial Science, Springer, vol. 12(1), pages 285-316, January.
    3. Michael Smithson, 1982. "On relative dispersion: A new solution for some old problems," Quality & Quantity: International Journal of Methodology, Springer, vol. 16(3), pages 261-271, June.

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