Date Available


Year of Publication


Degree Name

Doctor of Philosophy (PhD)

Document Type

Doctoral Dissertation


Arts and Sciences



First Advisor

Dr. Mai Zhou

Second Advisor

Dr. Jianrong Wu


The statistical methods are widely needed to support the clinical and biomedical research. The innovation of medical science often poses challenges on the methodology development of statistics. In this dissertation, we illustrated the research motivation and developed some new methods to existing problems in medical study. In the first part, we proposed to use two-sample empirical likelihood methods for comparing two diagnostic biomarkers by area under the ROC curve. In the second part, we proposed new test statistics and sample size formulae for cancer immunotherapy trial design with delayed treatment eect and long-term survivors. Simulation studies are conducted to compare the performance of proposed methods to existing methods. Real data examples are used to illustrate the application of proposed methods.

Digital Object Identifier (DOI)