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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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    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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