Quadratic entropy and analysis of diversity
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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 phrasesDiversity measure quadratic entropy convexity
AMS (2000) subject classificationPrimary 62A01, 62H30, 62B10, 94A17
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