Premium
Correction
Author(s) -
Alex Dmitrienko,
Brian L. Wiens,
Ajit C. Tamhane,
X. Wang
Publication year - 2008
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.3306
Subject(s) - gatekeeping , computer science , tree (set theory) , property (philosophy) , combinatorics , monotonic function , discrete mathematics , statistics , mathematical economics , artificial intelligence , information retrieval , mathematics , algorithm , philosophy , law , mathematical analysis , epistemology , political science
It is stated in the paper ‘Tree‐structured gatekeeping tests in clinical trials with hierarchically ordered multiple objectives’ by A. Dmitrienko, B. L.Wiens, A. C. Tamhane and X.Wang ( Statistics in Medicine 2007; 26 :2465–2478) that Bonferroni‐based tree gatekeeping procedures for logically related hypotheses in hierarchically ordered families satisfy the gatekeeping property, i.e. they proceed to the next family if one or more hypotheses are rejected in the current family. Tree gatekeeping procedures based on the weight assignment algorithm given in the Appendix may not, in general, possess this property. It is shown in 1 that this problem can be rectified if a weight assignment algorithm that meets a monotonicity condition is used.