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

In multilaterals: Transitive Index Numbers for Cross-Sections and Panel Data

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)

Arguments

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

Details

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

Value

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

Author(s)

Edoardo Baldoni

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

multilaterals documentation built on June 8, 2025, 11:34 a.m.