Description: Fundamental theory that is the basis of inferential statistical procedures. Point and interval estimation, sufficient statistics, hypothesis testing, maximum likelihood estimates, confidence intervals, criteria for estimators, methods of constructing test and estimation procedures.
Prerequisites: Biostat 601, Biostat 602, and MATH 451 or equivalent
Description: This sequence covers advanced topics in probability theory, theory of point estimation, theory of hypothesis testing, and related large sample theory. This sequence replaces STAT 610/611 as biostatistics Ph.D. requirements.
Course Goals: The goal of the sequence is to provide broad and deep theoretical training to Biostatistics Ph.D. students. Such training is essential for success in their thesis research and their future career.
Competencies: The following competencies under Appendix 2.6.c in ``University of Michigan School of Public Health Self-Study -- Appendices" for Biostatistics PhD students are met:
2. Statistical techniques
a. Advanced Mathematical Statistics
b. Generalized Linear and Mixed Models
c. Advanced Biostatistical Inference
d. Stochastic Processes
j. Bioinformatics and analysis of high-throughput biological data
k. Survival analysis
m. Bayesian inference techniques
n. Nonparametric statistical methods
3. Mathematical foundation
The graduate must acquire mathematical proficiency to be able to pursue theoretical development of
statistical methods to address the needs of Biostatistical Inference.