Basic Elements of Statistical Theory
General
Prefix
STAT
Course Number
448
Course Level
Undergraduate
Department/Unit(s)
College/School
College of Science and Engineering
Description
Theory of estimation and hypothesis testing; maximum likelihood, method of moments, likelihood ratio tests; elementary mathematical functions illustrate theory.
Prerequisites
Credits
Min
3
Max
3
Repeatable
No
Goals and Diversity
MN Goal Course
No
Cultural Diversity
No
Learning Outcomes
Outcome
Apply estimation theory to find point estimators such as method of moments estimator, maximum likelihood estimator and Bayesian estimator for population parameters.
Outcome
Differentiate and compare the point estimators under various optimal criteria.
Outcome
Specify the large sample properties of these point estimators.
Outcome
Construct confidence intervals for population parameters.
Outcome
Apply the hypothesis testing theory to test population parameters.
Outcome
Construct the rejection region or compute the P-value, identify type I and type II errors and compute the power of a given test.