multilaterals (version 2.0)

eks: eks: transforming a non-transitive index number matrix into a transitive one

Description

This function takes a matrix of all non-transitive binary index numbers comparisons of a data set and transforms it into a matrix of transitive index numbers using the EKS method.

Usage

eks(mat)

Value

It returns the set of transitive indexes associated with the benchmark unit/period.

Arguments

mat

Matrix of non transitive bilateral comparisons. To be transformed into transitive matrix via the EKS method.

Author

Edoardo Baldoni

Details

The function should be applied to a matrix that contains superlative index numbers comparisons.

References

T. J. Coelli, D. S. Prasada Rao, C. J. O'Donnell, and G. E. Battese. An introduction to Efficiency and Productivity Analysis, 2nd edition. Springer Science + Business Media, New York, 2005.

Examples

# Trasforming a non-transitive Fisher matrix into a transitive one
data(multil_data)

I_nt[1,3]*I_nt[3,4]
I_nt[1,4] #non-transitive

I_t = eks(I_nt)
I_t[1,3]*I_t[3,4]
I_t[1,4] #transitive