DESCRIPTION (Adapted from the Applicant's Abstract): The broad, long-term
objectives of this research are the developments of simple and useful
statistical methods for the design and analysis of clinical and epidemiologic
cancer studies with incomplete observations. The specific aims include (1)
investigation of semi-parametric regression methods for assessing the effects
of covariates (e.g., cancer therapy and patient characteristics) on medical
cost and quality-adjusted lifetime based on incomplete follow-up data, (2)
construction of non- and semi-parametric methods for the joint analysis of
incomplete repeated measures (e.g., serial quality-of-life measures) and
censored failure times (e.g., times to cancer recurrence/death) from
longitudinal cancer studies, and (3) exploration of efficient methods of design
and analysis for two-phase survival studies (e.g., case-cohort studies, sample
surveys and covariate measurement error problems). The proposed statistical
models and inference procedures are built from but extend significantly the
current knowledge about the analysis of censored failure time data and
incomplete repeated measures. These models are highly flexible and versatile in
that they do not require specifying the distributional form of any random
variable or the dependence structure between any two related outcome measures.
The asymptotic properties of the proposed estimators and test statistics will
be investigated rigorously with the use of counting-process martingale theory,
modern empirical process theory and other probability tools. Their operating
characteristics in practical settings will be evaluated extensively through
computer simulations. The usefulness of the proposed methods will be
illustrated with real cancer studies. The research results will be disseminated
to practicing statisticians and medical investigators via publications,
lectures and software distributions.
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