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A use of a nonparametric statistic for DEA frontier shift: the Kruskal and Wallis rank test

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  • Sueyoshi, Toshiyuki
  • Aoki, Shingo

Abstract

A new use of the nonparametric statistic, referred to as the "Kruskal and Wallis rank test", is proposed in this study. The nonparametric statistic examines whether or not any frontier shift occurs among observed periods. To document its practicality, the proposed statistic is incorporated into the framework of Window Malmquist Analysis (WMA) that is structured by combining Data Envelopment Analysis (DEA) window analysis with the Malmquist index approach. As an important case study, this research applies the new technique to examine the performance of Japanese postal services from 1983 to 1997. Two policy implications are derived from the empirical study.

Suggested Citation

  • Sueyoshi, Toshiyuki & Aoki, Shingo, 2001. "A use of a nonparametric statistic for DEA frontier shift: the Kruskal and Wallis rank test," Omega, Elsevier, vol. 29(1), pages 1-18, February.
    • Handle: RePEc:eee:jomega:v:29:y:2001:i:1:p:1-18
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    1. GIJBELS, Irène & MAMMEN, Enno & PARK, Byeong U. & SIMAR, Léopold, 1997. "On estimation of monotone and concave frontier functions," LIDAM Discussion Papers CORE 1997031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Goto, Mika & Tsutsui, Miki, 1998. "Comparison of Productive and Cost Efficiencies Among Japanese and US Electric Utilities," Omega, Elsevier, vol. 26(2), pages 177-194, April.
    3. repec:bla:scandj:v:98:y:1996:i:2:p:303-13 is not listed on IDEAS
    4. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    5. SIMAR , Léopold, 1995. "Aspects of Statistical Analysis in DEA-Type Frontier Models," LIDAM Discussion Papers CORE 1995061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Toshiyuki Sueyoshi, 1996. "Divestiture of Nippon Telegraph and Telephone," Management Science, INFORMS, vol. 42(9), pages 1326-1351, September.
    7. Bjurek, Hans & Hjalmarsson, Lennart, 1995. "Productivity in multiple output public service: A quadratic frontier function and Malmquist index approach," Journal of Public Economics, Elsevier, vol. 56(3), pages 447-460, March.
    8. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
    9. Toshiyuki Sueyoshi, 1997. "Measuring Efficiencies and Returns to Scale of Nippon Telegraph & Telephone in Production and Cost Analyses," Management Science, INFORMS, vol. 43(6), pages 779-796, June.
    10. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    11. Sueyoshi, Toshiyuki, 1998. "Privatization of nippon telegraph and telephone: Was it a good policy decision?," European Journal of Operational Research, Elsevier, vol. 107(1), pages 45-61, May.
    12. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    13. Fare, Rolf & Grosskopf, Shawna, 1992. "Malmquist Productivity Indexes and Fisher Ideal Indexes," Economic Journal, Royal Economic Society, vol. 102(410), pages 158-160, January.
    14. William W. Cooper & Kyung Sam Park & Gang Yu, 1999. "IDEA and AR-IDEA: Models for Dealing with Imprecise Data in DEA," Management Science, INFORMS, vol. 45(4), pages 597-607, April.
    15. Toshiyuki Sueyoshi, 1995. "Production analysis in different time periods: An application of data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 86(2), pages 216-230, October.
    16. E. Grifell-Tatjé & C. Lovell & J. Pastor, 1998. "A Quasi-Malmquist Productivity Index," Journal of Productivity Analysis, Springer, vol. 10(1), pages 7-20, July.
    17. W. Erwin Diewert, 1998. "Index Number Issues in the Consumer Price Index," Journal of Economic Perspectives, American Economic Association, vol. 12(1), pages 47-58, Winter.
    18. Rajiv D. Banker, 1993. "Maximum Likelihood, Consistency and Data Envelopment Analysis: A Statistical Foundation," Management Science, INFORMS, vol. 39(10), pages 1265-1273, October.
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