The Statistics Certificate program requires four courses and an independent study (13 total credit hours). See the University of Colorado Denver course catalog for course browsing and descriptions.
Two Fundamental Courses in Statistics (6 credit hours)
MATH 5320– Statistics
Point and confidence interval estimation, principles of maximum likelihood, sufficiency and completeness, tests of simple and composite hypothesis, linear models and multiple regression, analysis of variance. Prereq: MATH 3800. MATH 4810 highly recommended, but not required. Cross-listed with MATH 4820. Semester Hours: 3 When Offered: SPRING
MATH 5387- Regression Analysis, Modeling and Time Series
Topics include linear and multiple regression, basic experimental designs, one-way analysis of variance. Emphasis is on practical aspects and applications of linear models to the analysis of data in business engineering and behavioral, biological and physical sciences. Prereq: MATH 3191 and 3800/4820. Cross-listed with MATH 4387. Semester Hours: 3 When Offered: FALL
One Advanced Applications Course (3 credit hours)
Topics vary from year to year. Course must be pre-approved by Certificate Coordinator. MATH 5830 cannot apply towards the certificate. Representative courses include:
MATH 5394- Experimental Designs
Completely randomized block designs, factorial and fractional factorial experiments, balanced incomplete block designs, response surface methods. Prereq: MATH 4387/5387. Cross-listed with MATH 4394. Semester Hours: 3
MATH 6388- Advanced Statistical Methods for Research
The second in a two-semester course in applied statistics. Topics include multifactor analysis of variance and covariance, categorical data, general linear models, bootstrapping, and other computationally intensive statistical methods. Prereq: MATH 5387. Semester Hours: 3
MATH 6393- Introduction to Bayesian Statistics
Prior and posterior distributions, conjugate models, single and multiparameter models, hierarchical models, mixture models, numerical methods for evaluating posteriors, Monte Carlo methods, and Markov chain Monte Carlo. Prereq: MATH 3800 or both MATH 4810 and MATH 4820 (or equivalent). Some computer programming experience. Semester Hours: 3 to 3.
One Elective Course (3 credit hours)
Choose any statistics course in the Department of Mathematical and Statistical Sciences at the 5000 level or higher. Course must be pre-approved by the Certificate Coordinator. MATH 5830 cannot apply towards the certificate. Representative courses include:
Project, Independent Study (1 credit hour)
An independent data analysis project with a report and presentation to demonstrate proficiency with data analysis techniques and a statistical computing software package. Enroll for one hour of MATH 5840, Independent Study, or in an equivalent course pre-approved by the Certificate Coordinator.