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MATH410 - Design of Experiments

Course Details

Course Code: MATH410 Course ID: 4554 Credit Hours: 3 Level: Undergraduate

This course is delivered online and is organized into distinct parts. This course will begin with Design of Experiments (DOE) methodology and statistical inference. The design of single factor, factorial, nested and nested factorial experiments will be taught. Quantitative and qualitative factors will be introduced to simulate real situations that are encountered in operations being explored. Students will learn how to set up and solve fixed, random, and mixed models with two or more factors. Practical applications are provided throughout the course. (Prerequisite: MATH340)


Course Schedule

Registration Dates Course Dates Session Weeks
07/27/21 - 12/31/21 01/03/22 - 02/27/22 Winter 2022 Session B 8 Week session
10/26/21 - 04/01/22 04/04/22 - 05/29/22 Spring 2022 Session B 8 Week session

Current Syllabi

After successfully completing this course, you will be able to:

  • CO-1 Evaluate completely randomized designs;
  • CO-2 Analyze randomized blocks and related designs;
  • CO-3 Analyze 2^k factorial designs;
  • CO-4 Evaluate factorial designs (fixed, random, and mixed effects models);
  • CO-5 Evaluate nested designs;
  • CO-6 Evaluate split-plot designs;
  • CO-7 Analyze regression models;
  • CO-8 Use multiple comparison techniques to draw simultaneous inference about parameters; and
  • CO-9 Use residual analysis to check for violation of the model assumptions.

Reading Assignments:

Please refer to the Course Outline section of this syllabus for the weekly reading assignments. While reading assignments are not graded, it is very important that you read the assigned material and work practice problems as necessary and appropriate.

Forum Assignments:

The forums are designed for students to provide information and ask questions on course content for the week. Your forum posts must meet the minimum requirement for the number of posts and the content for that assignment. These forums should not be used to discuss specific exam questions, but can be used to ask questions relative to practice exercises, practice tests, and textbook problems.

Three significant posts are required per forum. Posts should be made as indicated in the forum instructions. Be sure to click on the link “Read Full Description” so that you will be familiar with each forum requirement and the grading rubric. (A significant post generally contains at least 100 words for a response—single sentence responses such as “Now I understand” or “Thank you for your help” do not constitute significant posts and 250 words for an initial forum post.)

Grading for each forum will follow the point structure outlined in the description for each forum.

Introduction Forum – Topic 1: It is very important that you submit and participate in the Introduction Forum. Please introduce yourself to me and the class. Share where you work or plan to work after completing your program, your family, and any hobbies or special interests. Also tell us why you are taking this course and what you hope to gain from obtaining your degree. In addition, please take a look at the course objectives in the syllabus and discuss the relevance to your career goals.

Instructions: Your initial post should be at least 250 words. Please respond to at least 2 other students. Responses should be a minimum of 100 words. This forum submission serves as your official entry into the course and this is why we have drawn special attention to this assignment. You will be reminded of this Forum again in the Week 1 Lesson, but please keep in mind that this Introduction Forum must be submitted by 11:55 p.m., ET, on Sunday of Week 1 to maintain your registration in the course.

Homework Practice Problems and Practice Tests:

Please be sure to ask each other (and/or your professor) questions about practice problems, practice test questions or other textbook material in the Open Questions Forum! Please do not divulge only answers, but provide assistance in developing solutions for problems as well. This will help you learn through explaining and help your classmates find where they are missing the point. Teamwork is encouraged in working practice problems so that you can learn through sharing problem-solving techniques. If you are unsure of a problem, please ask about it in the Open Questions Forum so that everyone can share in the conversation.

Numbered Tests:

Numbered tests are found via the navigation link labeled "Tests & Quizzes.” Please complete each test by the due date noted in the syllabus and in the classroom. These are open-book and open-note tests, but are not collaborative efforts. They are timed, so be sure that you have the appropriate time available before you enter each test. These are single-access tests. Once you have accessed the test, it cannot be made up.

Field Experience Assignments:

Assignments may be included which are associated with field experiences. These are found in the “Assignments” section of your classroom.

The points earned on the graded course assignments will determine the course grade. The final grade in the course will be based on total points. Grades will be assigned based on the following composite scores:

NameGrade %
Academic Integrity 1.00 %
Academic Integrity Honor Pledge 1.00 %
Assignments 32.00 %
Assignment 1: Overview to Design of Experiments and Basic Principles 4.00 %
Assignment 2: Simple Designs and Analysis of Variance 4.00 %
Assignment 3: Block Designs, Latin Squares, Factorial and Related Designs 4.00 %
Assignment 4: 2k Factorial Designs 4.00 %
Assignment 5: Two Level Factorial and Fractional Factorial Designs 4.00 %
Assignment 6: Additional Topics in Factorial Designs and Fitting Regression Models 4.00 %
Assignment 7: Designs with Random Factors, Nested and Split-Plot Designs 4.00 %
Assignment 8: Other Design and Analysis Topics 4.00 %
Forums 36.00 %
Week 1 - Topic #1 4.00 %
Week 2 - Topic #2 4.00 %
Week 3 - Topic #3 4.00 %
Week 4 - Topic #4 4.00 %
Week 5 - Topic #5 4.00 %
Week 6 - Topic #6 4.00 %
Week 7 - Topic #7 4.00 %
Week 8 - Topic #8 4.00 %
Week 8 - Topic #9 4.00 %
Unit Tests 32.00 %
Unit Test 1, Part A 4.00 %
Unit Test 1, Part B 4.00 %
Unit Test 2, Part A 4.00 %
Unit Test 2, Part B 4.00 %
Unit Test 3, Part A 4.00 %
Unit Test 3, Part B 4.00 %
Unit Test 4, Part A 4.00 %
Unit Test 4, Part B 4.00 %

Design and Analysis of Experiments, 8th Ed - The VitalSource e-book is provided via the APUS Bookstore. All students have access to the e-Book (ISBN 978-1-1183-2426-4); a link is located on the left hand navigation bar of the home page. A copy is also located in the “Lessons” link--each individual chapter in the textbook is listed as a separate PDF file. Access can also be gained by clicking on the book cover located on the home page.

You must validate your cart to get access to your VitalSource e-book(s). If needed, instructions are available at

Students will need access to a statistics software package. Minitab is recommended but any application may be used. Students may make use of statistical software for all graded assignments and exams during the course.

In addition to the required course texts, the following public domain websites are useful. Please abide by the university’s academic honesty policy when using Internet sources as well. Also website addresses are subject to change.

Web Sites:

In addition to the required course texts, the following public domain web sites are useful. Please abide by the university’s academic honesty policy when using Internet sources.

Site Name Website URL/Address
Minitab Blog
The Khan Academy
Book Title:Design and Analysis of Experiments, 8th Ed - the VitalSource e-book is provided inside the classroom
Publication Info:VS-Wiley
Unit Cost:$168.23
Electronic ISBN:9781118839027
Electronic Unit Cost:$30.00

Previous Syllabi

Not current for future courses.