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A note on measuring group performance over time with pseudo-panels

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  • Aparicio, Juan
  • Santín, Daniel

Abstract

Aparicio et al. (2017) recently extended the Camanho and Dyson (2006) Malmquist-type index (CDMI) for determining group performance in cross-sectional studies to panel or pseudo-panel databases. In that paper, it was shown that the pseudo-panel Malmquist index (PPMI) can be easily interpreted as the ratio of aggregated productivity changes in two groups of decision making units over time if and only if a new -difficult to interpret- term, the so called ‘divergence component’ (DC), is equal to one. The aim of this paper is twofold. First, based upon considering a baseline group technology we define a new base-group base-period PPMI where the DC always vanished. Second, when more than two groups are analyzed we show that under this framework the new base-group base-period PPMI, the new base-group CDMI and the components of both indexes satisfy the circular relation. As a consequence, the complicated ‘adjusted index’ defined in Camanho and Dyson (2006) for measuring the technology gap to satisfy the circular relation also vanishes. Both results will make it easier for practitioners applying the two indexes in different economic sectors regardless of how many groups are being compared.

Suggested Citation

  • Aparicio, Juan & Santín, Daniel, 2017. "A note on measuring group performance over time with pseudo-panels," MPRA Paper 79063, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:79063
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    Cited by:

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    2. Juan Aparicio & Sergio Perelman & Daniel Santín, 2022. "Comparing the evolution of productivity and performance gaps in education systems through DEA: an application to Latin American countries," Operational Research, Springer, vol. 22(2), pages 1443-1477, April.
    3. Zhou, Xun & Kuosmanen, Timo, 2020. "What drives decarbonization of new passenger cars?," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1043-1057.
    4. Chen, Xiang & Grifell-Tatjé, Emili & Fu, Tsu-Tan, 2023. "A profit difference decomposition model for measuring group performance: an application to Chinese and Taiwanese commercial banks," Omega, Elsevier, vol. 120(C).
    5. Afsharian, Mohsen & Ahn, Heinz & Harms, Sören Guntram, 2019. "Performance comparison of management groups under centralised management," European Journal of Operational Research, Elsevier, vol. 278(3), pages 845-854.
    6. Aparicio, Juan & Santín, Daniel, 2024. "Global and local technical changes: A new decomposition of the Malmquist productivity index using virtual units," Economic Modelling, Elsevier, vol. 134(C).
    7. D’Inverno, Giovanna & Smet, Mike & De Witte, Kristof, 2021. "Impact evaluation in a multi-input multi-output setting: Evidence on the effect of additional resources for schools," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1111-1124.
    8. Daniel Feliciano & Laura López-Torres & Daniel Santín, 2021. "One Laptop per Child? Using Production Frontiers for Evaluating the Escuela 2.0 Program in Spain," Mathematics, MDPI, vol. 9(20), pages 1-17, October.
    9. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    10. Martin Boďa & Mariana Považanová, 2020. "Productivity patterns in Europe: adaptation of the Malmquist index to measuring group performance and productivity change over time," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 47(4), pages 949-989, November.
    11. Camanho, Ana S. & Varriale, Luisa & Barbosa, Flávia & Sobral, Thiago, 2021. "Performance assessment of upper secondary schools in Italian regions using a circular pseudo-Malmquist index," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1188-1208.
    12. Gabriella Sicilia & Rosa Simancas, 2023. "Eficiencia y equidad educativa en España: un análisis comparativo a nivel regional," Hacienda Pública Española / Review of Public Economics, IEF, vol. 245(2), pages 7-33, June.
    13. Aparicio, Juan & Santín, Daniel, 2022. "A New Malmquist Index Based on a Standard Technology for Measuring Total Factor Productivity Changes," MPRA Paper 114467, University Library of Munich, Germany.

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    More about this item

    Keywords

    Data Envelopment Analysis; group performance; Malmquist index;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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