The relationship between the absolute deviation from a quantile and Gini’s mean difference

Shlomo Yitzhaki and Peter Lambert ()

METRON, 2013, vol. 71, issue 2, 97-104

Abstract: We investigate the relationship between Gini’s mean difference (GMD), the mean absolute deviation, the least absolute deviation and the absolute deviation from a quantile. The latter can all be interpreted as equivalents either to the GMD of a transformed distribution or to a between-group GMD measure, according to the particular partition of the data. They all possess properties of the GMD but each omits the intra-group variability—and they give rise to different regression techniques. We argue that the analyst using one of these techniques should justify the omission of the intra-group variability from the analysis. Copyright Sapienza Università di Roma 2013

Keywords: GMD; LAD; MAD; QUAD; C2; C10; C58 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s40300-013-0015-y

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