The Resource The nonparametric analysis of interval-censored failure time data, by Ran Duan

The nonparametric analysis of interval-censored failure time data, by Ran Duan

Label
The nonparametric analysis of interval-censored failure time data
Title
The nonparametric analysis of interval-censored failure time data
Statement of responsibility
by Ran Duan
Creator
Contributor
Author
Thesis advisor
Subject
Genre
Language
eng
Summary
By interval-censored failure time data, we mean that the failure time of interest is observed to belong to some windows or intervals, instead of being known exactly. One would get an interval-censored observation for a survival event if a subject has not experienced the event at one follow-up time but had experienced the event at the next follow-up time. Interval-censored data include right-censored data (Kalbfleisch and Prentice, 2002) as a special case. Nonparametric comparison of survival functions is one of the main tasks in failure time studies such as clinical trials. For interval-censored failure time data, a few nonparametric test procedures have been developed. However, due to the strict restrictions of existing nonparametric tests and practical demands, some new nonparametric tests need to be developed. This dissertation consists of four parts. In the first part, we propose a new class of test procedures whose asymptotic distributions are established under both null and alternative hypotheses, since all of the existing test procedures cannot be used if one intends to perform some power or sample size calculation under the alternative hypothesis. Some numerical results have been obtained from a simulation study for assessing the finite sample performance of the proposed test procedure. Also we applied the proposed method to a real data set arising from an AIDS clinical trial concerning the opportunistic infection cytomegalovirus (CMV). The second part of this dissertation will focus on the nonparametric test for intervalcensored data with unequal censoring. As we know, one common drawback or restriction of the nonparametric test procedures given in the literature is that they can only apply to situations where the observation processes follow the same distribution among different treatment groups. To remove the restriction, a test procedure is proposed, which takes into account the difference between the distributions of the censoring variables. Also the asymptotic distribution of the test statistics is developed by counting process and martingale theory. For the assessment of the performance of the procedure, a simulation study is conducted and suggested that it works well for practical situations. An illustrative example from a study aiming to investigate the HIV -1 infection risk among hemophilia patients is provided. The third part of this dissertation deals with the regression analysis of multivariate interval-censored data with informative censoring. Multivariate interval-censored failure time data often occur in the clinical trial that involves several related event times of interest and all the event times suffer interval censoring. Different types of models have been proposed for the regression analysis ( Zhang et al. (2008); Tong et al. (2008); Chen et al. (2009); Sun (2006)). However, most of these methods only deal with the situation where observation time is independent of the underlying survival time completely or given covariates. In this chapter, we discuss regression analysis of multivariate interval-censored data when the observation time may be related to the underlying survival time. An estimating equation based approach is proposed for regression coefficient estimate with the additive hazards frailty model and the asymptotic properties of the proposed estimates are established by using counting processes. A major advantage of the proposed method is that it does not involve estimation of any baseline hazard function. Simulation results suggest that the proposed method works well for practical situations. Finally, we will talk about the directions for future research. One is about the nonparametric test for interval-censored data with informative censoring. The other is about multiple generalized log-rank test for interval censored data
Cataloging source
MUU
http://library.link/vocab/creatorName
Duan, Ran
Degree
Ph.D.
Dissertation note
Dissertation
Dissertation year
2013.
Government publication
government publication of a state province territory dependency etc
Granting institution
University of Missouri--Columbia
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/relatedWorkOrContributorDate
1961-
http://library.link/vocab/relatedWorkOrContributorName
Sun, Jianguo
http://library.link/vocab/subjectName
  • Failure time data analysis
  • Survival analysis (Biometry)
  • Regression analysis
  • Statistics
  • Clinical trials
Label
The nonparametric analysis of interval-censored failure time data, by Ran Duan
Instantiates
Publication
Note
  • "A Dissertation Presented to the Faculty of the Graduate School University of Missouri In Partial Fulfillment Of the Requirements for the Degree Doctor of Philosophy."
  • Dissertation supervisor: Dr. (Tony) Jianguo Sun
  • Vita
Bibliography note
Includes bibliographical references (pages 91-98)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Control code
890468993
Extent
1 online resource (xi, 109 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other physical details
color illustrations.
Specific material designation
remote
System control number
(OCoLC)890468993
Label
The nonparametric analysis of interval-censored failure time data, by Ran Duan
Publication
Note
  • "A Dissertation Presented to the Faculty of the Graduate School University of Missouri In Partial Fulfillment Of the Requirements for the Degree Doctor of Philosophy."
  • Dissertation supervisor: Dr. (Tony) Jianguo Sun
  • Vita
Bibliography note
Includes bibliographical references (pages 91-98)
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Control code
890468993
Extent
1 online resource (xi, 109 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other physical details
color illustrations.
Specific material designation
remote
System control number
(OCoLC)890468993

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