Grant Details
Grant Number: |
5R01CA072495-04 Interpret this number |
Primary Investigator: |
Taylor, Jeremy |
Organization: |
University Of Michigan At Ann Arbor |
Project Title: |
Cure Models with Covariates |
Fiscal Year: |
1999 |
Abstract
DESCRIPTION: (Adapted from applicant's abstract): The aims of this
proposal are to develop statistical methods to make appropriate and
efficient use of the data collected in epidemiologic and clinical studies in
which a fraction of the subjects will not develop the endpoint. This is a
frequent occurrence in cancer studies when some patients can be cured.
Statistical models, called cure models, have been proposed to analyze such
data. Methods for incorporating covariates into cure models will be
developed. Both time fixed and time dependent covariates will be
considered. The methodology will be applied to datasets from prostate
cancer, head and neck cancer, breast cancer and osteosarcoma.
An accelerated failure time regression cure model is proposed for datasets
with time fixed covariates. An EM algorithm estimation method incorporating
a non-parametric baseline latency distribution will be investigated. A
method is proposed for estimating non-linear covariate effects in cure
models, using penalised likelihood.
Proper statistical modeling with time dependent covariates is much more
difficult. In the second project, the applicants will investigate a method
of joint modeling of failure times and time dependent (internal) covariates
in cure models. The proposed model combines aspects of a mixture model for
the cured and uncured groups, a random effects model for longitudinal data
and a proportional hazards model for failure time data. They will develop a
Gibbs sampling approach for this model. Application os this model to
auxiliary variables in clinical trials will be given. The methodology
proposed will allow time dependent auxiliary variables to provide additional
information for censored cases, and thus give more accurate and efficient
conclusions from the trial.
Publications
None