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The analysis of tumorigenicity data using a frailty effect

Authors
Kim, Yang-JinNam, Chung MoKim, Youn NamChoi, Eun HeeKim, Jinheum
Issue Date
Sep-2011
Publisher
KOREAN STATISTICAL SOC
Keywords
Current status data; Frailty effect; EM algorithm; Three-state model; Tumorigenicity
Citation
JOURNAL OF THE KOREAN STATISTICAL SOCIETY, v.40, no.3, pp 281 - 290
Pages
10
Journal Title
JOURNAL OF THE KOREAN STATISTICAL SOCIETY
Volume
40
Number
3
Start Page
281
End Page
290
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/12505
DOI
10.1016/j.jkss.2010.10.007
ISSN
1226-3192
1876-4231
Abstract
In animal tumorigenicity data, the time of occurrence of the tumor is not observed because the existence of the tumor is looked for only at either the time of death or the time of sacrifice of the animal. Such an incomplete data structure makes it difficult to investigate the impact of treatment on the occurrence of tumors. A three-state model (no tumor-tumor-death) is used to model events that occurred sequentially and to connect them. In this paper, we also employed a frailty effect to model the dependency of death on tumor occurrence. For the inference of parameters, an EM algorithm is considered. The method is applied to a real bladder tumor data set and a simulation study is performed to show the behavior of the proposed estimators. (C) 2010 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
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