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Identifying Outliers in Multi-Output Models

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  • Kevin Fox
  • Robert Hill
  • W. Diewert

Abstract

A firm may be different from other firms either in terms of the mix or scale of its input-output vector. This paper develops separate mix and scale measures of dissimilarity, and shows that these can be additively aggregated into a measure of absolute dissimilarity. The mix measure is particularly relevant in the context of frontier analysis since it will identify the firms that exert the most influence on the resulting efficiency scores. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Kevin Fox & Robert Hill & W. Diewert, 2004. "Identifying Outliers in Multi-Output Models," Journal of Productivity Analysis, Springer, vol. 22(1), pages 73-94, July.
    • Handle: RePEc:kap:jproda:v:22:y:2004:i:1:p:73-94
    DOI: 10.1023/B:PROD.0000034692.22162.e8
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    References listed on IDEAS

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    1. Wilson, Paul W, 1993. "Detecting Outliers in Deterministic Nonparametric Frontier Models with Multiple Outputs," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 319-323, July.
    2. A. Charnes & W. W. Cooper & E. Rhodes, 1981. "Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through," Management Science, INFORMS, vol. 27(6), pages 668-697, June.
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    Cited by:

    1. Donghyun Oh & Almas Heshmati & Hans Lööf, 2012. "Technical change and total factor productivity growth for Swedish manufacturing and service industries," Applied Economics, Taylor & Francis Journals, vol. 44(18), pages 2373-2391, June.
    2. Magdalena Kapelko, 2018. "Measuring inefficiency for specific inputs using data envelopment analysis: evidence from construction industry in Spain and Portugal," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(1), pages 43-66, March.
    3. Diewert, W. Erwin & Fox, Kevin J., 2017. "Substitution Bias in Multilateral Methods for CPI Construction using Scanner Data," Microeconomics.ca working papers erwin_diewert-2017-3, Vancouver School of Economics, revised 23 Mar 2017.
    4. Francisco Javier Sáez-Fernández & Ignacio Jiménez-Hernández & María del Sol Ostos-Rey, 2020. "Seasonality and Efficiency of the Hotel Industry in the Balearic Islands: Implications for Economic and Environmental Sustainability," Sustainability, MDPI, vol. 12(9), pages 1-17, April.
    5. Ivancic, Lorraine & Fox, Kevin J., 2013. "Can dissimilarity indexes resolve the issue of when to chain price indexes?," Economics Letters, Elsevier, vol. 118(1), pages 6-9.
    6. Martin Bod′a & Emília Zimková, 2018. "Iso-analysis for knowing the sources of technical efficiency and performance," Operational Research, Springer, vol. 18(2), pages 421-449, July.
    7. Kapelko, Magdalena & Oude Lansink, Alfons & Stefanou, Spiro E., 2015. "Analyzing the impact of investment spikes on dynamic productivity growth," Omega, Elsevier, vol. 54(C), pages 116-124.
    8. R. Quentin Grafton & Tom Kompas & Pham Van Ha, 2009. "Cod Today and None Tomorrow: The Economic Value of a Marine Reserve," Land Economics, University of Wisconsin Press, vol. 85(3), pages 454-469.
    9. Chumpitaz, Ruben & Kerstens, Kristiaan & Paparoidamis, Nicholas & Staat, Matthias, 2010. "Comparing efficiency across markets: An extension and critique of the methodology," European Journal of Operational Research, Elsevier, vol. 205(3), pages 719-728, September.
    10. Tsekouras, Kostas & Chatzistamoulou, Nikos & Kounetas, Kostas, 2017. "Productive performance, technology heterogeneity and hierarchies: Who to compare with whom," International Journal of Production Economics, Elsevier, vol. 193(C), pages 465-478.
    11. Timo Sipiläinen & Anni Huhtala, 2013. "Opportunity costs of providing crop diversity in organic and conventional farming: would targeted environmental policies make economic sense?," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 40(3), pages 441-462, July.
    12. Kristof Witte & Rui Marques, 2010. "Influential observations in frontier models, a robust non-oriented approach to the water sector," Annals of Operations Research, Springer, vol. 181(1), pages 377-392, December.
    13. Leticia Blázquez Gómez & Emili Grifell-Tatjé, 2008. "Multi-Output compensation system in electricity distribution: the case of Spain," Hacienda Pública Española / Review of Public Economics, IEF, vol. 185(2), pages 115-148, July.
    14. Christian von Hirschhausen & Astrid Cullmann, 2008. "Next Stop: Restructuring?: A Nonparametric Efficiency Analysis of German Public Transport Companies," Discussion Papers of DIW Berlin 831, DIW Berlin, German Institute for Economic Research.
    15. Khezrimotlagh, Dariush & Cook, Wade D. & Zhu, Joe, 2020. "A nonparametric framework to detect outliers in estimating production frontiers," European Journal of Operational Research, Elsevier, vol. 286(1), pages 375-388.

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