On construction of robust composite indices by linear aggregation

Sudhanshu Mishra ()

MPRA Paper from University Library of Munich, Germany

Abstract: In this paper we construct thirteen different types of composite indices by linear combination of indicator variables (with and without outliers/data corruption). Weights of different indicator variables are obtained by maximization of the sum of squared (and, alternatively, absolute) correlation coefficients of the composite indices with the constituent indicator variables. Seven different types of correlation are used: Karl Pearson, Spearman, Signum, Bradley, Shevlyakov, Campbell and modified Campbell. Composite indices have also been constructed by maximization of the minimal correlation. We find that performance of indices based on robust measures of correlation such as modified Campbell and Spearman, as well as that of the maxi-min based method, is excellent. Using these methods we obtain composite indices that are autochthonously sensitive and allochthonously robust. This paper also justifies a use of simple mean-based composite indices, often used in construction of human development index.

Keywords: Composite index; linear aggregation; principal components; robust correlation; Spearman, Signum; Bradley; Shevlyakov; Campbell; Hampel; outliers; mutilation of data (search for similar items in EconPapers)
JEL-codes: C13 C43 C61 C63 (search for similar items in EconPapers)
Date: 2008-06-19
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

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