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Simultaneous One‐Sided Pairwise Comparisons in a Two‐Way Design
Author(s) -
Cheung Siu Hung,
Zhu Hong Tu
Publication year - 1998
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/(sici)1521-4036(199809)40:5<613::aid-bimj613>3.0.co;2-j
Subject(s) - pairwise comparison , statistic , a priori and a posteriori , statistics , type i and type ii errors , mathematics , multiple comparisons problem , computer science , test statistic , statistical hypothesis testing , algorithm , philosophy , epistemology
Cheung and Chan (1996) provided a procedure for simultaneous two‐sided pairwise comparisons of treatment means in a two‐way design. Expanding on this earlier work, we develop a procedure where all such comparisons are instead one‐sided. The new procedure is appropriate in situations where the treatment means are a priori ordered. The overall type I error rate for the simultaneous inferences is controlled at a designated level. Tables of upper percentage points of the test statistic are given to facilitate the implementation of our method. The application of the testing procedure is illustrated with an example from a medical study.