DESCRIPTION (Adapted from Applicant's Abstract): The proposed research
is in biostatistical methods associated with event time data (data on
survival times, detection times of carcinogenic growths, recurrence
times of symptoms, etc.). The objective is to develop additional
statistical models for such data, along with associated methods of
statistical analysis. The focus will be on semiparametric Bayesian
models and methods. The semiparametric nature allows considerable
generality and applicability but enough structure for useful physical
interpretation and understanding for particular applications in medical
research. Recent advances in Bayesian theory and computations make the
study of complex models and data structures feasible. Four categories
of event time data will be considered: univariate survival data
(survival times for a group of unrelated patients), multiple event time
data (successive repeated events in each of a group of unrelated
patients), multivariate survival data (survival times for a group of
patients who are related to each other either genetically or
environmentally), two independent events in tandem to every patient
(such as infection and onset of disease).
Each model considered has been subjected to some kind of censoring
mechanism, such as right censoring, grouping (due to inexact measurement
or periodic followup), interval censoring (due to missed followups).
Monte Carlo algorithms, including data augmentation and Gibbs sampling,
will be used to deal with the complexity of the model as well as the
censoring or grouping present in the data.
The research method includes mathematical modeling, mathematical
developments of statistical methods, writing of computer algorithms, and
exemplification by reanalysis of published data sets from cancer and
other medical studies and animal experiments with carcinogens. Models
and methods developed in this research should lead to an improved
understanding of event time data occurring in clinical research in
cancer and other diseases--including the relation of event times to
various risk factors, and quantification of group (familial)
dependencies.
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