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.
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Rao, C.R. Quadratic entropy and analysis of diversity. Sankhya 72, 70–80 (2010). https://doi.org/10.1007/s13171-010-0016-3
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DOI: https://doi.org/10.1007/s13171-010-0016-3