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Analyzing Ordinal Data for Group Representation

Author

Listed:
  • Way C.W. Chang

    (National Chiao-Tung University)

  • Po-Young Chu

    (National Chiao-Tung University)

  • Cherng G. Ding

    (National Chiao-Tung University)

  • Soushan Wu

    (National Chiao-Tung University)

Abstract

With n individuals ranking m objects, the exhaustive comparison approach, proposed in this paper, produces a list of order vectors sorted by the relative number of concordant pairs. The exhaustive comparison approach compares all possible order vectors instead of "an" optimal order vector to help the data analyst to consider "practical" solutions rather than a "desired" solution. An overall concordant order ratio is proposed to measure "how well" each order vector may represent the ranking structure of an ordinal data set. And the marginal concordant ratio evaluating the goodness of fit of each object in each order vector is also proposed in this paper. Comparisons among some popular ranking methods are discussed in this article. An empirical survey data regarding how travellers considered various factors for choosing travelling locations are used to illustrate the proposed method and calculations.

Suggested Citation

  • Way C.W. Chang & Po-Young Chu & Cherng G. Ding & Soushan Wu, 2000. "Analyzing Ordinal Data for Group Representation," Group Decision and Negotiation, Springer, vol. 9(1), pages 47-61, January.
    • Handle: RePEc:spr:grdene:v:9:y:2000:i:1:d:10.1023_a:1008744805975
    DOI: 10.1023/A:1008744805975
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    References listed on IDEAS

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    1. Wade D. Cook & Lawrence M. Seiford, 1978. "Priority Ranking and Consensus Formation," Management Science, INFORMS, vol. 24(16), pages 1721-1732, December.
    2. Wade D. Cook & Lawrence M. Seiford, 1982. "On the Borda-Kendall Consensus Method for Priority Ranking Problems," Management Science, INFORMS, vol. 28(6), pages 621-637, June.
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    2. Hunter, William Cannon, 2013. "China's Chairman Mao: A visual analysis of Hunan Province online destination image," Tourism Management, Elsevier, vol. 34(C), pages 101-111.
    3. Cook, Wade D., 2006. "Distance-based and ad hoc consensus models in ordinal preference ranking," European Journal of Operational Research, Elsevier, vol. 172(2), pages 369-385, July.
    4. Hunter, William Cannon, 2011. "Rukai indigenous tourism: Representations, cultural identity and Q method," Tourism Management, Elsevier, vol. 32(2), pages 335-348.

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