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A connection between successive comparisons and ranking procedures

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  • Chen, John T.
  • Hoppe, Fred M.

Abstract

Let X and Y be the test statistics used in successive comparisons and two-sample ranking procedures, respectively. We prove that the density of X coincides with the density of Y. This is surprising because the two statistical methods appear unrelated. Once the connection has been established in this paper, tables currently computed for successive comparisons can be applied to two-sample ranking procedures.

Suggested Citation

  • Chen, John T. & Hoppe, Fred M., 2004. "A connection between successive comparisons and ranking procedures," Statistics & Probability Letters, Elsevier, vol. 67(1), pages 19-25, March.
    • Handle: RePEc:eee:stapro:v:67:y:2004:i:1:p:19-25
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    References listed on IDEAS

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    1. Xu, Xiaozhan & Martel, Jean-Marc & Lamond, Bernard F., 2001. "A multiple criteria ranking procedure based on distance between partial preorders," European Journal of Operational Research, Elsevier, vol. 133(1), pages 69-80, August.
    2. Harry Joe, 2000. "Inequalities for Random Utility Models, with Applications to Ranking and Subset Choice Data," Methodology and Computing in Applied Probability, Springer, vol. 2(4), pages 359-372, December.
    3. Frederic Palomino, 2001. "Informational efficiency: ranking markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 683-700.
    4. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On Ranking Opportunity Sets in Economic Environments," Journal of Economic Theory, Elsevier, vol. 93(1), pages 48-71, July.
    5. Hirotsu, Chihiro & Srivastava, Muni S., 2000. "Simultaneous confidence intervals based on one-sided max t test," Statistics & Probability Letters, Elsevier, vol. 49(1), pages 25-37, August.
    6. Shu-Hui Chang, 2000. "A Two-Sample Comparison for Multiple Ordered Event Data," Biometrics, The International Biometric Society, vol. 56(1), pages 183-189, March.
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