Weighted Wilcoxon-Type Rank Test for Interval Censored Data
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...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/273954 |
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| author | Ching-fu Shen Jin-long Huang Chin-san Lee |
| author_facet | Ching-fu Shen Jin-long Huang Chin-san Lee |
| author_sort | Ching-fu Shen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-44034359664a489aaf83baac85a80068 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-44034359664a489aaf83baac85a800682025-02-03T01:33:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/273954273954Weighted Wilcoxon-Type Rank Test for Interval Censored DataChing-fu Shen0Jin-long Huang1Chin-san Lee2Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, TaiwanCenter for Fundamental Sciences, Kaohsiung Medical University, Kaohsiung 80708, TaiwanDepartment of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, TaiwanInterval 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.http://dx.doi.org/10.1155/2013/273954 |
| spellingShingle | Ching-fu Shen Jin-long Huang Chin-san Lee Weighted Wilcoxon-Type Rank Test for Interval Censored Data Journal of Applied Mathematics |
| title | Weighted Wilcoxon-Type Rank Test for Interval Censored Data |
| title_full | Weighted Wilcoxon-Type Rank Test for Interval Censored Data |
| title_fullStr | Weighted Wilcoxon-Type Rank Test for Interval Censored Data |
| title_full_unstemmed | Weighted Wilcoxon-Type Rank Test for Interval Censored Data |
| title_short | Weighted Wilcoxon-Type Rank Test for Interval Censored Data |
| title_sort | weighted wilcoxon type rank test for interval censored data |
| url | http://dx.doi.org/10.1155/2013/273954 |
| work_keys_str_mv | AT chingfushen weightedwilcoxontyperanktestforintervalcensoreddata AT jinlonghuang weightedwilcoxontyperanktestforintervalcensoreddata AT chinsanlee weightedwilcoxontyperanktestforintervalcensoreddata |