Indiana University-Purdue University Indianapolis (IUPUI) / Survival analysis often encounters the situations of correlated multiple events
including the same type of event observed from siblings or multiple events experienced
by the same individual. In this dissertation, we focus on the joint modeling of bivariate
time to event data with the estimation of the association parameters and also in the
situation of a semi-competing risk.
This dissertation contains three related topics on bivariate time to event mod
els. The first topic is on estimating the cross ratio which is an association parameter
between bivariate survival functions. One advantage of using cross-ratio as a depen
dence measure is that it has an attractive hazard ratio interpretation by comparing
two groups of interest. We compare the parametric, a two-stage semiparametric and
a nonparametric approaches in simulation studies to evaluate the estimation perfor
mance among the three estimation approaches.
The second part is on semiparametric models of univariate time to event with
a semi-competing risk. The third part is on semiparametric models of bivariate time
to event with semi-competing risks. A frailty-based model framework was used to
accommodate potential correlations among the multiple event times. We propose
two estimation approaches. The first approach is a two stage semiparametric method
where cumulative baseline hazards were estimated by nonparametric methods first
and used in the likelihood function. The second approach is a penalized partial
likelihood approach. Simulation studies were conducted to compare the estimation
accuracy between the proposed approaches. Data from an elderly cohort were used
to examine factors associated with times to multiple diseases and considering death
as a semi-competing risk.
| Identifer | oai:union.ndltd.org:IUPUI/oai:scholarworks.iupui.edu:1805/12076 |
| Date | 08 September 2016 |
| Creators | Liao, Ran |
| Contributors | Gao, Sujuan, Katz, Barry, Zhang, Ying, Li, Shanshan, Zhang, Jianjun |
| Source Sets | Indiana University-Purdue University Indianapolis |
| Language | en_US |
| Detected Language | English |
| Type | Dissertation |
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