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A Comparison of Procedures for General Contrasts - Unequal Sample Size Case

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

Three procedures for general contrasts among the means in the unbalanced models are compared. These include the Tukey (T), Scheffe (S) and transformed-Tukey (T-T‘) procedures. The comparison is based on the lengths of the confidence ntervals. It is shown that the Tukey procedure gives the shortest confidence intervals for pairwise contrasts. A numerical study is carried out for the general contrasts. It is found that the T and T-T’ procedures perform similarly. In general, the S-procedure is recommended for contrasts involving many ni's. Recommendations for the choice of the procedures are given. © 1989, Taylor & Francis Group, LLC. All rights reserved.
Original languageEnglish
Pages (from-to)613-632
JournalCommunications in Statistics - Theory and Methods
Volume18
Issue number2
DOIs
Publication statusPublished - Jan 1989
Externally publishedYes

Research Keywords

  • contrasts
  • multiple comparisons
  • Scheffe method
  • Studentized augmented range
  • Tukey method

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