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Max-min multiple comparison procedure for comparing several dose levels with a zero dose control

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  • J. Peng
  • C. I. C. Lee
  • L. Liu

Abstract

The comparison of increasing doses of a compound to a zero dose control is of interest in medical and toxicological studies. Assume that the mean dose effects are non-decreasing among the non-zero doses of the compound. A simple procedure that modifies Dunnett's procedure is proposed to construct simultaneous confidence intervals for pairwise comparisons of each dose group with the zero dose control by utilizing the ordering of the means. The simultaneous lower bounds and upper bounds by the new procedure are monotone, which is not the case with Dunnett's procedure. This is useful to categorize dose levels. The expected gains of the new procedure over Dunnett's procedure are studied. The procedure is shown by real data to compare well with its predecessor.

Suggested Citation

  • J. Peng & C. I. C. Lee & L. Liu, 2006. "Max-min multiple comparison procedure for comparing several dose levels with a zero dose control," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(5), pages 549-555.
    • Handle: RePEc:taf:japsta:v:33:y:2006:i:5:p:549-555
    DOI: 10.1080/02664760600585675
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    References listed on IDEAS

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    1. Charles W. Dunnett, 1989. "Multivariate Normal Probability Integrals with Product Correlation Structure," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 38(3), pages 564-579, November.
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