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Tests for a simple tree order restriction with application to dose–response studies

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Listed:
  • Shyamal D. Peddada
  • Joseph K. Haseman
  • Xiaofeng Tan
  • Greg Travlos

Abstract

Summary. We propose ‘Dunnett‐type’ test procedures to test for simple tree order restrictions on the means of p independent normal populations. The new tests are based on the estimation procedures that were introduced by Hwang and Peddada and later by Dunbar, Conaway and Peddada. The procedures proposed are also extended to test for ‘two‐sided’ simple tree order restrictions. For non‐normal data, nonparametric versions based on ranked data are also suggested. Using computer simulations, we compare the proposed test procedures with some existing test procedures in terms of size and power. Our simulation study suggests that the procedures compete well with the existing procedures for both one‐sided and two‐sided simple tree alternatives. In some instances, especially in the case of two‐sided alternatives or for non‐normally distributed data, the gains in power due to the procedures proposed can be substantial.

Suggested Citation

  • Shyamal D. Peddada & Joseph K. Haseman & Xiaofeng Tan & Greg Travlos, 2006. "Tests for a simple tree order restriction with application to dose–response studies," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 55(4), pages 493-506, August.
    • Handle: RePEc:bla:jorssc:v:55:y:2006:i:4:p:493-506
    DOI: 10.1111/j.1467-9876.2006.00549.x
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    Cited by:

    1. Kulan Ranasinghe & Mervyn J. Silvapulle, 2008. "Semiparametric estimation of duration models when the parameters are subject to inequality constraints and the error distribution is unknown," Monash Econometrics and Business Statistics Working Papers 1/08, Monash University, Department of Econometrics and Business Statistics.
    2. Singh, Satya Prakash & Davidov, Ori, 2021. "On efficient exact experimental designs for ordered treatments," Computational Statistics & Data Analysis, Elsevier, vol. 164(C).
    3. Eryl Shirley, 2007. "Tests for a simple tree order restriction with application to dose–response studies," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(4), pages 493-494, August.
    4. Kulan Ranasinghe & Mervyn J. Silvapulle, 2008. "Semiparametric estimation of duration models when the parameters are subject to inequality constraints and the error distribution is unknown," Monash Econometrics and Business Statistics Working Papers 5/08, Monash University, Department of Econometrics and Business Statistics.

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