adea-package {adea}R Documentation

Data Envelopment Analysis: Variable Selection, Constrained ADEA and Leverage Units

Description


Package: adea

Version: 1.1.6

Date: 2021-09-02

License: GPL (>= 3)

DEA, that means Data Envelopment Analysis, consider a set of DMUs (Decision Making Units) and computes an efficiency score for each DMU. Such score is defined as a weighted ratio between several inputs and outputs values for such DMU.

This package provides an implementation of the ADEA method for variable selection in DEA. ADEA methodology includes a new phase in the classical DEA analysis that measures the relative importance of each input and output variable. This above-mentioned measure is called load ratio or contribution. A load for the whole model is also defined. Using such measure, a procedure to select an optimised or relevant set of variables has been developed.

A variable load is a number between 0 and 1. Where 0 means that the contribution of that variable to the efficiency values is negligible. In an ideal case, each input or output variable will have a load of 1.

As it is usually done in DEA, these loads are computed as its maximum allowable value. Using alternative sets of weights, this procedure don't change efficiency scores. But because the sum of all of them is 1, when one variable increases its load, any other decrease in value. So only the lowest value of all loads has a real meaning. This lowest value can be taken as a significance measure of the entire model.

This measure, load, has two important properties that easy its interpretation:

ADEA analysis can be done measuring only input variables, in this case ADEA analysis has input load.orientation. output when only output variables are considered. And inoutput load.orientation when all variables in the model are taken into account.

The package is named after its main function. adea makes a DEA analysis using alternative optimal solution of the same programs that DEA uses to compute efficiency scores. For a detailed description of the maths behind the model, see the references.

The main functions that this package provides are:

Note

The package is ready for translations, so contributions with translated versions of po files will be very welcomed.

Author(s)

Fernando Fernandez-Palacin <fernando.fernandez@uca.es> and Manuel Munoz-Marquez <manuel.munoz@uca.es>

Mantainer: Manuel Munoz-Marquez <manuel.munoz@uca.es>

References

Stepwise Selection of Variables in DEA Using Contribution Load. F. Fernandez-Palacin, M. A. Lopez-Sanchez and M. Munoz-Marquez. Pesquisa Operacional 38 (1), pg. 1-24, 2018. <DOI:10.1590/0101-7438.2018.038.01.0000>.

Methodology for calculating critical values of relevance measures in variable selection methods in data envelopment analysis. Jeyms Villanueva-Cantillo and Manuel Munoz-Marquez. European Journal of Operational Research, 290 (2), pg. 657-670, 2021. <DOI:10.1016/j.ejor.2020.08.021>.


[Package adea version 1.1.6 Index]