STAT 503: Design of Experiments

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course overview

The course will cover most of the material in the text, chapters 1-15. The students will be required to use statistical computer software to complete many homework assignments and the project.

course topics

This graduate level course covers the following topics:

  • Understanding basic design principles
  • Working in simple comparative experimental contexts
  • Working with single factors or one-way ANOVA in completely randomized experimental design contexts
  • Implementing randomized blocks, Latin square designs and extensions of these
  • Understanding factorial design contexts
  • Working with two level, 2k, designs
  • Implementing confounding and blocking in 2k designs
  • Working with 2-level fractional factorial designs
  • Working with 3-level and mixed-level factorials and fractional factorial designs
  • Simple linear regression models
  • Understanding and implementing response surface methodologies
  • Understanding robust parameter designs
  • Working with random and mixed effects models
  • Understanding and implementing nested and split-plot and strip-plot designs
  • Using repeated measures designs, unbalanced AOV and ANCOVA

Here is a link to the Online Notes for STAT 503.


STAT 501 (or 462) and STAT 502


Montgomery, D. C.  (2012). Design and Analysis of Experiments, 8th Edition, John Wiley & Sons.


This course will use the statistical software program Minitab. See the Statistical Software page for more information.

For most assignments the Minitab GLM or SAS Proc GLM and Proc Mixed commands will satisfy the computing requirements. Minitab Design Of Experiments (DOE) commands are also utilized extensively.

Students should already feel comfortable using SAS at a basic level, be a quick learner of software packages, or able to figure out how to do the required analyses in another package of their choice. Students who have no experience with programming or are anxious about being able to manipulate software code are strongly encouraged to take the one-credit courses in SAS in order to establish this foundation before taking courses that rely on this software.

SAS will be supported and sample programs will be supplied but you will be required to do some programing on your own. Due to different software applications, software versions and platforms there may be issues with running code. Students must be proactive in seeking advice and help from appropriate sources including documentation resources, other students, the teaching assistant, instructor or helpdesk.

assessment plan

  • 10 Homework assignments graded. 40% (10% penalty for late assignments)
  • Experiment design and analysis project.10% (due last week of class)
  • Two preliminary examinations. 15% each.
  • Comprehensive final examination (proctored). 20%

academic integrity

All Penn State policies regarding ethics and honorable behavior apply to this course. Academic integrity is the pursuit of scholarly activity free from fraud and deception and is an educational objective of this institution. All University policies regarding academic integrity apply to this course. Academic dishonesty includes, but is not limited to, cheating, plagiarizing, fabricating of information or citations, facilitating acts of academic dishonesty by others, having unauthorized possession of examinations, submitting work of another person or work previously used without informing the instructor, or tampering with the academic work of other students.

For any material or ideas obtained from other sources, such as the text or things you see on the web, in the library, etc., a source reference must be given. Direct quotes from any source must be identified as such.

All exam answers must be your own, and you must not provide any assistance to other students during exams. Any instances of academic dishonesty WILL be pursued under the University and Eberly College of Science regulations concerning academic integrity. For more information on academic integrity, see Penn State's statement on plagiarism and academic dishonesty.

The Eberly College of Science Code of Mutual Respect and Cooperation embodies the values that we hope our faculty, staff, and students possess and will endorse to make The Eberly College of Science a place where every individual feels respected and valued, as well as challenged and rewarded.


Penn State welcomes students with disabilities into the University's educational programs. If you have a disability-related need for reasonable academic adjustments in this course, contact the Office for Disability Services (ODS) at 814-863-1807 (V/TTY). For further information regarding ODS, please visit the Office for Disability Services Web site at

In order to receive consideration for course accommodations, you must contact ODS and provide documentation (see the documentation guidelines at If the documentation supports the need for academic adjustments, ODS will provide a letter identifying appropriate academic adjustments. Please share this letter and discuss the adjustments with your instructor as early in the course as possible. You must contact ODS and request academic adjustment letters at the beginning of each semester.

course author

Dr. James L Rosenberger is the primary author of these course materials and has taught this course for many semesters in residence and online.