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University of Colorado Denver College of Liberal Arts and Sciences

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Graduate Certificate in Applied Statistics

There is a growing need for qualified statistical analysts of the ever-increasing amounts of data collected in business, industry, and government. The Certificates in Applied Statistics program is designed to give students a strong background in statistical methodology and data analysis in preparation for opportunities in the work force or for graduate studies.

Students will gain competence in such topics as descriptive statistics, estimation, confidence intervals, probability and inferential techniques, simple and multiple regression, analysis of variance, and more-advanced topics. Students can focus on a particular application area such as economics, psychology, sociology, geology or environmental science through the choice of an elective course and the data analysis project.​​

​Admissions Requirements
Applicants must hold a bachelor's degree (not necessarily in mathematics) from an accredited college or university, or demonstrate completion of work equivalent to the bachelor's degree given at CU Denver, with at least a 3.0 grade point average (GPA). Students must also have 24 semester hours of mathematics, at least 18 of which are upper division courses with a grade of B- (3.0) or better. These courses must include calculus 1, 2 and 3 as well as linear algebra and probability at the undergraduate level. Exceptions to admission criteria may be made on a case by case basis.
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 to 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 to 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 to 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 to 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:
  • ECON 5150- Economic Forecasting
  • ECON 5813- Econometrics I
  • ECON 5823- Econometrics II
  • ENVS 5600- Applied Statistics for the Natural Sciences
    Cross-listed with GEOG 5770, GEOL 5770​
  • SOCY 5183- Quantitative Data Analysis
  • Or an equivalent course pre-approved by the Certificate Coordinator
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.​
​Students must maintain a 3.0 GPA or above in these courses with no credit given for courses with grades below B-.​
Since a certificate is a University of Colorado Denver certification of a student's specialized knowledge in an advanced subject area, all courses in the certificate program must be taken in residency at University of Colorado Denver. Students much be enrolled in one course per year to maintain their status in the certificate program. Certificates must be completed within 3 years from matriculation.​
​All applicants (whether degree seeking or non-degree seeking) must download, fill out, and submit the Statistics Certificate Application to:

University of Colorado Denver
Mathematical & Statistical Sciences
Statistics Certificate Coordinator
Campus Box 170
PO Box 173364
Denver, CO 80217-3364

Please make sure to submit all application materials listed on the form that coincide with your enrollment status.

If you have not already been admitted into the University of Colorado Denver in a degree or non-degree program, follow the link below to apply through University Admissions, and follow the submission guidelines on the Statistics Certificate Application (above) to apply to the Math Department.

If you are having trouble viewing the application, download a free PDF reader.

For more information, contact the Graduate Program Director, Dr. Michael Ferrara:

Campus Address:
Student Commons Building
Suite 4215

Phone: 303-315-1714

Mailing Address:
Dept. Of Mathematical & Statistical Sciences
Campus Box 170
University Of Colorado Denver
P.O. Box 173364
Denver, CO 80217-3364