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Tables and Applications of the Bonferroni t ‐Statistics: A Revision of Dunn's Simultaneous t ‐Tests
Author(s) -
Gottlieb R.,
Lienert G. A.,
Ludwig O.,
Rockenfeller K.
Publication year - 1984
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/bimj.4710260402
Subject(s) - bonferroni correction , statistics , mathematics , analysis of variance , variance (accounting) , statistical hypothesis testing , multiple comparisons problem , combinatorics , econometrics , accounting , business
Tables for Bonferroni‐adjusted significance levels of Student's t are provided for r = 3(1)30(5)50 etc. and alphas of 0.05, 0.01 and 0.001. The tables are suggested for various applications, for example in replacing analysis of variance of k samples by r simultaneous t tests. Use of the tables is shown by numerical examples. The adjustment of alpha for improving the efficiency of testing is made by WILKINSON for orthogonal comparisons and by HOLM for nonorthogonal comparisons.