A Total Factor Productivity Toolbox for MATLAB

57 Pages Posted: 16 May 2018 Last revised: 8 Jun 2019

See all articles by Bert M. Balk

Bert M. Balk

RSM Erasmus University

Javier Barbero

Universidad Autónoma de Madrid

José L. Zofío

Universidad Autónoma de Madrid; Erasmus Research Institute of Management (ERIM)

Date Written: May 15, 2018

Abstract

Total Factor Productivity Toolbox is a new package for MATLAB that includes functions to calculate the main Total Factor Productivity (TFP) indices and their decompositions, based on Shephard’s distance functions and using Data Envelopment Analysis (DEA) programming techniques. The package includes code for the standard Malmquist, Moorsteen-Bjurek, price-weighted and share-weighted TFP indices, allowing for the choice of orientation (input or output), reference period (base, comparison, geometric mean), returns to scale (variable or constant), and specific decompositions (aggregate or identifying scale effects as well as input and output mix effects). Classic definitions of TFP corresponding to the Laspeyres, Paasche, Fisher, or Törnqvist formulas can also be calculated as particular cases. This paper describes the methodology and implementation of the functions and reports numerical results so as to ease the comparison between indices and illustrate their use.

Keywords: [comma seTotal factor productivity, Malmquist, Moorsteen-Bjurek, Fisher, Törnqvist, dis- tance function, data envelopment analysis, MATLABparated]

Suggested Citation

Balk, Bert M. and Barbero, Javier and Zofío, Jose L., A Total Factor Productivity Toolbox for MATLAB (May 15, 2018). Available at SSRN: https://ssrn.com/abstract=3178911 or http://dx.doi.org/10.2139/ssrn.3178911

Bert M. Balk

RSM Erasmus University ( email )

Burg Oudlaan 50
Rotterdam, 3062 PA
Netherlands

HOME PAGE: http://www.rsm.nl/bbalk

Javier Barbero

Universidad Autónoma de Madrid ( email )

Campus Cantoblanco
C/Kelsen, 1
Madrid, Madrid 28049
Spain

Jose L. Zofío (Contact Author)

Universidad Autónoma de Madrid ( email )

Francisco Tomás y Valiente, 5
Madrid, Madrid 28049
Spain
914972406 (Phone)

Erasmus Research Institute of Management (ERIM) ( email )

P.O. Box 1738
3000 DR Rotterdam
Netherlands

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