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One Some Measures of Qualitative Variation and Entropy

Author(s): Atıf Evren | Elif Tuna

Journal: Selçuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: Statistics;
Issue: Special Issue;
Start page: 61;
Date: 2011;
Original page

Keywords: Measures of qualitative variation | the index of deviations from mode | variation ratio | Gini concentration index | the coefficient of unalikeability | Simpson's diversity index | Shannon's entropy | standardized entropy | Kullback-Leibler divergencee | Jeffreys divergence.

Measures of variation can be evaluated as the tools for testing the goodness of fit of the average values to entire data. It is impossible to calculate arithmetic mean when the data are qualitative . Similarly the measures of variation such as the variance and the standard deviation cannot be calculated for qualitative distributions . When the distribution is qualitative, mode can be used to determine central tendency. In literature there are some statistics offered for measuring qualitative variation.

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