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Nonparametric,GINI-like Measures of Location and Dispersion
Authors:G A Lienert
Abstract:GINI's nonparametric measure of dispersion, defined as the mean of (n/2) pairs of a sample of n measurements, is modified for triplets. That way a GINI-like measure of location G* is defined as the mean of the (n/3) triplet medians, and a GINI-like measure of dispersion is defined as the mean of the (n/3) triplet ranges. G* and g* are less sensitive to outlier measurements than are the corresponding parametric measures, arithmetic mean and standard deviation, in small samples. Applications and application-related problems are discussed.
Keywords:Gini's dispersion measure  outlier measurement  skewness  nonparametries
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