Course ID: | STAT 8230. 3 hours. |
Course Title: | Applied Nonlinear Regression |
Course Description: | Statistical modeling using nonlinear regression is considered. Topics include fixed-effects nonlinear regression models, nonlinear least squares, computational methods and practical matters, growth models, and compartmental models. Nonlinear mixed-effects models are discussed, including model interpretation, estimation and inference. Examples will be drawn from forestry, pharmaceutical sciences, and other fields. |
Oasis Title: | APPL NONLINEAR REG |
Prerequisite: | STAT 4230/6230 or STAT 6320 or STAT 6420 or permission of department |
Semester Course Offered: | Offered fall semester every odd-numbered year. |
Grading System: | A-F (Traditional) |
|
Course Objectives: | Course is intended to provide an introduction to both fixed- and
mixed-effects nonlinear regression models with emphasis on the
practical aspects of the use of these models in the analysis of
real data. Fixed-effects nonlinear regression is given only
brief coverage in existing courses and mixed-effects nonlinear
models are not taught at all. This limited coverage is despite
these models common and increasing use in modeling biological
growth (e.g., in Forest Biometrics), chemical kinetics and
dynamics (e.g., in Pharmaceutical Sciences), and other processes.
In this course students will be introduced to the general classes
of normal error fixed- and mixed-effects nonlinear models. They
will learn practical aspects of how to fit, interpret and make
inferences from these models, and they will study the important
special cases of these models that are most often encountered in
applications. |
Topical Outline: | Review of linear regression. Fixed-effects nonlinear models
(NLMs). Nonlinear least-squares. Computational methods and
other practical considerations. Growth models. Compartmental
models. Nonlinear mixed-effects models (NLMMs). Methods of
estimation and inference in NLMMs. Software for NLMs and
NLMMs. |