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Closed testing using surrogate hypotheses with restricted alternatives.

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  • المؤلفون: Lachin JM;Lachin JM; Bebu I; Bebu I; Larsen MD; Larsen MD; Younes N; Younes N
  • المصدر:
    PloS one [PLoS One] 2019 Jul 12; Vol. 14 (7), pp. e0219520. Date of Electronic Publication: 2019 Jul 12 (Print Publication: 2019).
  • نوع النشر :
    Journal Article; Research Support, N.I.H., Extramural; Research Support, Non-U.S. Gov't
  • اللغة:
    English
  • معلومة اضافية
    • المصدر:
      Publisher: Public Library of Science Country of Publication: United States NLM ID: 101285081 Publication Model: eCollection Cited Medium: Internet ISSN: 1932-6203 (Electronic) Linking ISSN: 19326203 NLM ISO Abbreviation: PLoS One Subsets: MEDLINE
    • بيانات النشر:
      Original Publication: San Francisco, CA : Public Library of Science
    • الموضوع:
      Research Design*; Clinical Trials as Topic/*statistics & numerical data; Algorithms ; Clinical Trials as Topic/methods ; Diabetes Mellitus/physiopathology ; Humans ; Multivariate Analysis ; Probability ; Proportional Hazards Models ; Sample Size ; Systole
    • نبذة مختصرة :
      Introduction: The closed testing principle provides strong control of the type I error probabilities of tests of a set of hypotheses that are closed under intersection such that a given hypothesis H can only be tested and rejected at level α if all intersection hypotheses containing that hypothesis are also tested and rejected at level α. For the higher order hypotheses, multivariate tests (> 1df) are generally employed. However, such tests are directed to an omnibus alternative hypothesis of a difference in any direction for any component that may be less meaningful than a test directed against a restricted alternative hypothesis of interest.
      Methods: Herein we describe applications of this principle using an α-level test of a surrogate hypothesis [Formula: see text] such that the type I error probability is preserved if [Formula: see text] such that rejection of [Formula: see text] implies rejection of H. Applications include the analysis of multiple event times in a Wei-Lachin test against a one-directional alternative, a test of the treatment group difference in the means of K repeated measures using a 1 df test of the difference in the longitudinal LSMEANS, and analyses within subgroups when a test of treatment by subgroup interaction is significant. In such cases the successive higher order surrogate tests can be aimed at detecting parameter values that fall within a more desirable restricted subspace of the global alternative hypothesis parameter space.
      Conclusion: Closed testing using α-level tests of surrogate hypotheses will protect the type I error probability and detect specific alternatives of interest, as opposed to the global alternative hypothesis of any difference in any direction.
      Competing Interests: The authors have declared that no competing interests exist.
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    • Grant Information:
      U01 DK098246 United States DK NIDDK NIH HHS
    • الموضوع:
      Date Created: 20190713 Date Completed: 20200309 Latest Revision: 20200309
    • الموضوع:
      20231215
    • الرقم المعرف:
      PMC6625735
    • الرقم المعرف:
      10.1371/journal.pone.0219520
    • الرقم المعرف:
      31299051