# Quadratic entropy and analysis of diversity

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DOI: 10.1007/s13171-010-0016-3

- Cite this article as:
- Rao, C.R. Sankhya (2010) 72: 70. doi:10.1007/s13171-010-0016-3

## Abstract

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 measurequadratic entropyconvexity### AMS (2000) subject classification

Primary 62A01, 62H30, 62B10, 94A17## Copyright information

© Indian Statistical Institute 2010