BIOE 4300: Analysis of Bioengineering Systems

Designation:    Required
Description:    Statistical methods for the design, testing and manufacturing of medical devices; the application of statistical methods to quality systems and process validation.
Prerequisite:    MATH 2850 or 2950; one hour of BIOE 3940
Textbook:    Probability and Statistics for Engineers and Scientists 
R. Walpole, R. Myers, S. Myers and K. Ye 
Prentice Hall
Objectives:    To apply statistical analysis to biological data 
To investigate experiment design involving biological systems 
To formulate and solve problems in statistics 
To use computational tools to analyze and model biological data 
To analyze and interpret data from biological systems
Topics:    Introduction 
Rules of probability 
Random variables, distribution and density functions 
Expectation - mean and variance 
Discrete and continuous distribution functions 
Applications of the normal distribution; specifications and quality control 
Random sampling and sampling distributions 
Confidence intervals 
Hypothesis testing
Schedule:    3 - 50 minute lectures per week
Contribution:    Engineering topics
(a)    An ability to apply knowledge of mathematics, science, and engineering
(b)    An ability to design and conduct experiments, as well as to analyze and interpret data
(e)    An ability to identify, formulate, and solve engineering problems
(k)    An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
(8b)    The capability to apply advanced mathematics (including differential equations and statistics), science, and engineering to solve the problems at the interface of engineering and biology
Prepared by:    Scott Molitor ( and Tammy Phares (
Last Updated: 6/27/22