This paper proposes a method to construct composite index, which is a linear combination of several variables, by deriving weights on the criterion of Shapley value (from cooperative game theory) that a constituent variable has in making the composite index. In practice it is found oftentimes...

Construction of (composite) indices by the Principal Component Analysis (PCA) is very common, but this method has a preference for highly correlated variables to the poorly correlated variables in the dataset. However, poor correlation does not entail marginal importance, since correlation...

Construction of (composite) indices by the PCA is very common, but this method has a preference for highly correlated variables to the poorly correlated variables in the data set. However, poor correlation does not entail the marginal importance, since correlation coefficients among the...

The present study proposes an alternative method to construct an index of globalization which is based on the principle of almost equi-marginal contributions (AEMC) or Shapley values of the constituent variables to the overall index rather than the correlation coefficients among the constituent...

The present study devises a computational scheme (and develops a FORTRAN 77 computer program) that may be appropriate to construct Pena’s DP2 (ordinal) synthetic indicator (Z ) from the partial indicators (X ) all of which are ordinal (ranking scores). An attempt has also been made to...