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A weighted distance metric for assessing ranking dissimilarity and inter-group heterogeneity

Author

Listed:
  • Amalia Vanacore

    (University of Naples “Federico II”)

  • Maria Sole Pellegrino

    (University of Naples “Federico II”)

Abstract

In this paper, a weighted variant of the normalized pairwise angular distance metric is proposed. The inclusion of position weights aims at penalizing inversions in the top of the ranking more than inversions in the tail of the ranking. The performance of the proposed weighted distance metric for assessing ranking dissimilarity and its impact on a procedure for testing inter-group heterogeneity have been investigated via a Monte Carlo simulation study under several scenarios—differing for group size, number of ranked alternatives and system of hypotheses—and compared against those obtained for the unweighted variant.

Suggested Citation

  • Amalia Vanacore & Maria Sole Pellegrino, 2022. "A weighted distance metric for assessing ranking dissimilarity and inter-group heterogeneity," METRON, Springer;Sapienza Università di Roma, vol. 80(2), pages 175-185, August.
    • Handle: RePEc:spr:metron:v:80:y:2022:i:2:d:10.1007_s40300-021-00198-6
    DOI: 10.1007/s40300-021-00198-6
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    References listed on IDEAS

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    1. Pier Alda Ferrari & Giancarlo Manzi, 2014. "Citizens evaluate public services: a critical overview of statistical methods for analysing user satisfaction," Journal of Economic Policy Reform, Taylor & Francis Journals, vol. 17(3), pages 236-252, September.
    2. Tamar Gadrich & Emil Bashkansky & Ričardas Zitikis, 2015. "Assessing variation: a unifying approach for all scales of measurement," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(3), pages 1145-1167, May.
    3. Pier Alda Ferrari & Giancarlo Manzi, 2014. "Citizens evaluate public services: a critical overview of statistical methods for analysing user satisfaction," Journal of Economic Policy Reform, Taylor and Francis Journals, vol. 17(3), pages 236-252, July.
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