Weighted Wilcoxon-Type Rank Test for Interval Censored Data | Zendy

Ching-fu Shen | Zendy; Jinlong Huang | Zendy; Chinsan Lee | Zendy

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Weighted Wilcoxon-Type Rank Test for Interval Censored Data

Author(s) -

Ching-fu Shen,

Jinlong Huang,

Chinsan Lee

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/273954

Subject(s) - wilcoxon signed rank test , statistics , mathematics , null hypothesis , rank (graph theory) , confidence interval , type i and type ii errors , interval (graph theory) , statistical hypothesis testing , test (biology) , log rank test , nominal level , survival analysis , mann–whitney u test , combinatorics , paleontology , biology

Interval censored (IC) failure time data are often observed in medical follow-up studies and clinical trials where subjects can only be followed periodically, and the failure time can only be known to lie in an interval. In this paper, we propose a weighted Wilcoxon-type rank test for the problem of comparing two IC samples. Under a very general sampling technique developed by Fay (1999), the mean and variance of the test statistics under the null hypothesis can be derived. Through simulation studies, we find that the performance of the proposed test is better than that of the two existing Wilcoxon-type rank tests proposed by Mantel (1967) and R. Peto and J. Peto (1972). The proposed test is illustrated by means of an example involving patients in AIDS cohort studies

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