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


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Article Info

DATE

2013-09

AUTHORS

Shlomo Yitzhaki, Peter J. Lambert

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. More... »

PAGES

97-104

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s40300-013-0015-y

DOI

http://dx.doi.org/10.1007/s40300-013-0015-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1034172562


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