On Measuring Deprivation and the Standard of Living in a Multidimensional Framework on the Basis of Aggregate Data

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Abstract
In measuring social deprivation in a multidimensional framework, ideally one should first measure each individual's overall deprivation, and then aggregate the overall deprivation levels of all individuals. However, given only aggregate data, one is often forced to measure social deprivation in terms of each attribute separately and then to aggregate them so as to get the overall social deprivation. This paper shows that it is only under extremely stringent conditions that this procedure would always yield the same result as the conceptually sound procedure referred to earlier. A similar difficulty also arises in measuring a society's standard of living.

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