Multidimensional Index: A Note

Information loss has been discussed in sections 4-6 referring to the headcount fetish leading to censoring, the use of a deprivation line to normalise deprivation scores, and the converting of data to binary form, respectively. [...] In fact, the recent computations of multidimensional index of deprivation use dimensional information that is binary (including when the base information is cardinal), that is they take the value of either 1 or 0. [...] 𝑗 𝑗 𝑗 𝑗 7.3 Multidimensional index of attainment or empowerment and information loss Having shown the three scenarios of information loss (censoring through 𝑘 on account of headcount fetish, deprivation line as benchmark to compute normalised deprivation score such that information on or above the deprivation line are treated in the same manner, and limiting to binary when the richness of dat. [...] The former is akin to the deprivation line in the sense that all non-deprived are treated in a similar manner while the latter implies that variation among the deprived is also not to be taken into consideration. [...] It is in this context and to restore the ingenuity of the multidimensional index of 𝑀𝛼 or 𝐸𝛼 that we propose no censoring, we suggest use of maxima where appropriate, and we encourage taking advantage of the richness in available data.