Description (taken from applicants abstract): The applicant plans to study
four statistical problems frequently encountered in cancer clinical trials
and observational studies. These are: 1. nonproportional hazards models
for failure time data, 2. analysis of competing risks failure time data, 3.
analysis of multivariate survival time data, and 4. analysis of repeated
measures in the presence of dependent censoring For item 1., the applicant
notes that the Cox model is the most popular model for analyzing censored
observations. However, it often does not fit the data well. The applicant
will continue to develop alternatives to the Cox model.
Under topic 2., the applicant notes that in the presence of dependent
competing risks, the Cox model can be used to examine the covariate effects
on the cause-specific hazard function. It is noted, however, that in this
setting very little has been done on predicting survival probabilities for
patients with specific covariates. The applicant plans to work on this
problem and to develop nonproportional hazards models to handle competing
risks failure time data.
Under item 3., the analysis of multivariate survival time data, the
applicant plans to develop robust methods for analyzing recurrent event time
and multi-state data. He also plans to investigate analyses for
interval-censored count data.
For item 4., the analysis of repeated measures in the presence of dependent
censoring, the applicant notes that repeated cancer marker measurements have
been used to identify and/or define disease progression in modern cancer
studies. However, if the patient s follow-up time depends on the observed
or unobserved response variables, commonly used methods will not be
applicable. The applicant plans to develop robust methods to handle such
incomplete repeated measurements data.
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