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Weighted Logrank Testing Procedures for the Simple Tree Alternatives
Author(s) -
Park SangGue
Publication year - 2000
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(200005)42:2<145::aid-bimj145>3.0.co;2-h
Subject(s) - statistics , pairwise comparison , mathematics , ranking (information retrieval) , multiple comparisons problem , log rank test , statistical hypothesis testing , simple (philosophy) , tree (set theory) , rank (graph theory) , computer science , survival analysis , artificial intelligence , combinatorics , philosophy , epistemology
Weighted logrank testing procedures for comparing r treatments with a control when some of the data are randomly censored are discussed. Four kinds of test statistics for the simple tree alternatives are considered. The weighted logrank statistics based on pairwise ranking scheme is proposed and the covariances of the test statistics are explicitly obtained. This class of test statistics can be viewed as the general statistics of constructing the test procedures for various order restricted alternatives by modifying weights. Four kinds of weighted logrank tests are illustrated with an example. Simulation studies are performed to compare the sizes and the powers of the considered tests with the other.