טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentBordo Nadia
SubjectA Nonparametric Estimator of the Survival Function Based
on Case-Control Family Data
DepartmentDepartment of Industrial Engineering and Management
Supervisor Professor Malka Gorfine-Orgad
Full Thesis textFull thesis text - English Version


Abstract


Consider data which arise from a typical case-control family study, where individuals with a disease under study (case-probands) and individuals who do not have the disease (control-probands) are randomly sampled from well defined populations. In addition, age at onset or age at censoring and disease status are also observed for one relative of each proband. For example, case-probands are women diagnosed with breast cancer, control-probands are breast cancer free women, and information is collected also on their sisters. Genetic and environmental background that the family members share leads to correlation among the outcomes within a family.


We provide a novel nonparametric estimator of the marginal survival function based on kernel estimators of the conditional survival functions under intracluster dependence. We present extensive simulation study to assess the finite sample properties of the proposed methodology, and show that our proposed estimators perform very well in terms of bias. To illustrate the utility of our proposed procedure, we analyze a case-control family study of early onset prostate cancer.