Course Descriptions
Math 837: Statistical Quality Improvement
Introduction to
scientific data collection and analysis with an emphasis on industrial
applications. Topics include SPC, engineering process control, failure
modes and effects analysis (FMEA), Six-Sigma concepts and methods, and confidence
intervals and hypothesis testing. Use of a statistical software package is
an integral part of the course; graphical data analysis will be emphasized.
Prerequisites: Permission by instructor. 3 cr.
Math 839: Applied
Regression Analysis
Regression analysis
explores relationships among variables by modeling a response. Simple
linear regression, residual analysis and model validation, multiple linear
regression, model selection, multicollinearity, nonlinear curve fitting,
categorical predictors, introduction to analysis of variance and
covariance. Statistical software will be used extensively. Prerequisites:
Math 837 or permission 3 cr.
Math 840: Design
of Experiments I
This course emphasizes
methods for solving complex problems, both in the industrial and research
environments. Design of experiments, randomization and blocking, factorial
designs, nested designs, fixed, random, and mixed effects models,
fractional factorial designs, use of covariates, response surface methods.
JMP software is used extensively. Prerequisites: Math 837 or permission. 3
cr.
Math 841: Biostatistics
and Life Testing
Exploration of models and
data-analytic methods used in medical, biological, and reliability studies.
Event-time data, censored data, reliability models and methods,
Kaplan-Meier estimator, proportional hazards, Poisson models, loglinear
models. SAS or JMP, and SPlus will be used. Prerequisites: Math 837 or
permission. 3 cr.
Math 842: Multivariate
Statistical Methods
Issues dealing with
multivariate response data. Random vectors and matrices, multivariate
normal distribution, Hotelling's T2, multivariate analysis of variance
(MANOVA), principal components, cluster analysis, factor analysis,
longitudinal data and repeated measures. SAS or SPlus will be used.
Prerequisites: Math 837 or permission. 3 cr.
Math 844: Design
of Experiments II
This course will focus on
experimental design strategies and issues that are often encountered in
practice, but that are typically not covered in an introductory course.
Participants will develop a high degree of expertise and proficiency in
experimental design. Industrial situations will be the focus of the course,
and participants will be encouraged to bring their experimental design
issues to class. Although the course will review the basics of experimental
design and analysis, participants should have some prior experience with
factorial experiments and their analysis. Prereq: MATH 840 or permission. 3
cr.