Sankhya A

, Volume 72, Issue 1, pp 70–80

Quadratic entropy and analysis of diversity



In this paper some general postulates are laid down for the construction of diversity measures and conditions for ANOVA type of analysis are investigated. It is shown that a diversity measure called quadratic entropy introduced by the author in 1982, applicable to both qualitative and quantitative data, provides a general solution to both the problems posed above.

Keywords and phrases

Diversity measure quadratic entropy convexity 

AMS (2000) subject classification

Primary 62A01, 62H30, 62B10, 94A17 


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Copyright information

© Indian Statistical Institute 2010

Authors and Affiliations

  1. 1.CRRao AIMSCSHyderabadIndia
  2. 2.C. R. Rao Advanced Institute of Mathematics Statistics and Computer ScienceHyderabadIndia

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