Page 329 - Contributed Paper Session (CPS) - Volume 6

CPS1949 Khalid S.

In this specification, although the weighting function grants more weight
for the deprivation, the fact of not considering a logarithmic function allows
to grant more importance for indices of deprivation translating less frequent
symptoms of poverty. This approach tends to converge the weights of items
measuring the deprivation. Unlike the approach of Cerioli and Zani which
overrepresented the weight of the least wide-spread deprivation.
iii) Weighting scheme of Betti & Verma
This weighting scheme is based on two principles: i) the weight to be
attributed measures the intensity of deprivation of an attribute; its value is an
inverse function of the degree of deprivation of this attribute for the
population; ii) the index measuring this weight aims to reduce the over-
representation due to the risks of the high correlation between the attributes
and to the redundancy of the information. So, the suggested function removes
from the calculation items bringing the same information by eliminating their
weights.

depends on the distribution of the attribute j in the population, and
depends on the correlation between xj and other attributes, it measures the
average correlation of item j with all the other items. The more it increased the
lower is the weight of the attribute j. represents the level of correlation
between two attributes j & m, I(.) is an indicator function and is a pre-
determined cutoff correlation level
(in our case ).
iv) The third weighting scheme combines the advantages of Cerioli-Zani method
and Betti-Verma method : It attributes an upper weight for the least wide-
spread deprivation, and limites the influence of the correlation and the
redundancy of the information on the weighting. Within the framework of this
study, we adopted the following both specifications:

This function would allow to attribute a weight to the item j by combining
the methods of Betti & Verma and Cerioli & Zani.
Similar to the specification BV-CZ, the second specification would allow us
to adjust the function of the weight proposed by Desai-Shah by introducing

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