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Douglas C. Montgomery
Many experiments in engineering, science and business involve several factors. This course is an introduction to these types of multifactor experiments. The appropriate experimental strategy for these situations is based on the factorial design, a type of experiment where factors are varied together. This course focuses on designing these types of experiments and on using the ANOVA for analyzing the resulting data. These types of experiments often include nuisance factors, and the blocking principle can be used in factorial designs to handle these situations. As the number of factors of interest grows full factorials become too expensive and fractional versions of the factorial design are useful. This course will cover the benefits of fractional factorials, along with methods for constructing and analyzing the data from these experiments.
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What's inside
Syllabus
Unit 1: Introduction to Factorial Design
Unit 2: The 2^k Factorial Design
Unit 3: Blocking and Confounding in the 2^k Factorial Design
Read more
Syllabus
Unit 1: Introduction to Factorial Design
Unit 2: The 2^k Factorial Design
Unit 3: Blocking and Confounding in the 2^k Factorial Design
Read more
Unit 4: Two-Level Fractional Factorial Designs
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Suitable for learners with some prior knowledge in experimental design and statistics
Developed by Douglas C. Montgomery, a renowned professor in the field of statistics
Explores experimental design techniques, which are fundamental in various disciplines including engineering, science, and business
Covers topics such as factorial design, blocking, fractional factorials, and ANOVA, providing a comprehensive understanding of multifactor experiments
Provides practical knowledge applicable to real-world scenarios where multiple factors are involved
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Save Factorial and Fractional Factorial Designs to your list so you can find it easily later:
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Reviews summary
Expert factorial design
Learners say that this course is excellent and practical and that it can teach learners how to effectively run and analyze a DOE using JMP. Instructors are highly praised. Learners who are researchers or are otherwise interested in Design of Experiments (DOE) may especially benefit from this course.
Learners appreciate the expert instruction provided by Dr. Montgomery.
"Dr. Montgomery is a great presenter."
"New ways of understanding it, beyond the textbook, thanks to Professor Montgomery"
"This class was really well done."
This practical course focuses on real-world applications and can help learners solve problems in their own work.
"Objective and practical course, EXCELLENT."
"Dense, very to the point and extremely useful course for me."
"this and
the first are the ones giving you the most, in my opinion. That's
because they are the most practical and it's easy to translate into
exercises and examples what you learn."
Learners noted that some of the quiz questions did not align with the lecture content.
"The only issues I encountered concerned the fact that the questions in the quiz were not always matching with what was explained in the lectures."
Learners wanted more instructor or TA communication to help with assignments.
"I think this would be a more effective course if there was a way to communicate with an instructor or TA for help on assginment questions."
The course uses JMP software, but learners had some issues accessing the software.
"Wasnt able to access the JMP pro software that is required for the class."
"I only wish there was more example videos in JMP."
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Factorial and Fractional Factorial Designs with these
activities:
Review the book 'Factorial Designs' by Douglas C. Montgomery
Show steps
Reading and reviewing this book will provide you with a comprehensive understanding of factorial design concepts.
Show steps
-
Purchase or borrow the book from a library.
-
Read and take notes on the chapters relevant to the course material.
-
Summarize the key concepts and ideas in your own words.
Follow online tutorials on fractional factorial designs
Show steps
Following online tutorials will provide you with a structured and interactive way to learn about fractional factorial designs.
Browse courses on
Factorial Design
Show steps
-
Search for online tutorials on fractional factorial designs using platforms like Coursera, edX, or YouTube.
-
Choose a tutorial that aligns with your learning style and level.
-
Follow the tutorial steps and complete the exercises or assignments.
Join a study group to discuss factorial design concepts
Show steps
Joining a study group will provide you with a platform to discuss and clarify concepts with peers, enhancing your understanding.
Browse courses on
Factorial Design
Show steps
-
Find classmates who are interested in forming a study group.
-
Decide on a regular meeting time and place.
-
Take turns leading the discussions and presenting on specific topics.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Practice 2^k factorial design exercises
Show steps
Practice solving 2^k factorial design exercises to improve your understanding of the concept.
Browse courses on
Factorial Design
Show steps
-
Review the lecture notes on 2^k factorial design.
-
Attempt to solve the practice problems provided in the textbook.
-
Seek help from the instructor or classmates if needed.
Create a presentation on blocking in factorial design
Show steps
Creating a presentation on blocking in factorial design will help you understand the concept and improve your communication skills.
Browse courses on
Factorial Design
Show steps
-
Gather information on blocking in factorial design from textbooks, research papers, and online resources.
-
Organize the information into a logical flow for your presentation.
-
Create visual aids such as slides or diagrams to illustrate your points.
-
Practice your presentation and get feedback from peers or the instructor.
Attend a workshop on ANOVA for factorial design analysis
Show steps
Attending a workshop on ANOVA for factorial design analysis will provide you with hands-on experience and improve your understanding.
Browse courses on
Factorial Design
Show steps
-
Search for workshops on ANOVA for factorial design analysis in your area or online.
-
Register for the workshop and pay the registration fee.
-
Attend the workshop and actively participate in the activities.
-
Follow up with the workshop organizers or instructors if you have any questions.
Contribute to an open-source project related to factorial design
Show steps
Contributing to an open-source project will provide you with practical experience and enhance your understanding of real-world applications.
Browse courses on
Factorial Design
Show steps
-
Identify open-source projects related to factorial design on platforms like GitHub.
-
Review the project documentation and identify areas where you can contribute.
-
Contact the project maintainers and express your interest in contributing.
-
Follow the project's guidelines and make your contributions.
Review the book 'Factorial Designs' by Douglas C. Montgomery
Show steps
Reading and reviewing this book will provide you with a comprehensive understanding of factorial design concepts.
Show steps
Show steps
Show steps
- Purchase or borrow the book from a library.
- Read and take notes on the chapters relevant to the course material.
- Summarize the key concepts and ideas in your own words.
Follow online tutorials on fractional factorial designs
Show steps
Following online tutorials will provide you with a structured and interactive way to learn about fractional factorial designs.
Browse courses on
Factorial Design
Show steps
Show steps
Show steps
- Search for online tutorials on fractional factorial designs using platforms like Coursera, edX, or YouTube.
- Choose a tutorial that aligns with your learning style and level.
- Follow the tutorial steps and complete the exercises or assignments.
Join a study group to discuss factorial design concepts
Show steps
Joining a study group will provide you with a platform to discuss and clarify concepts with peers, enhancing your understanding.
Browse courses on
Factorial Design
Show steps
Show steps
Show steps
- Find classmates who are interested in forming a study group.
- Decide on a regular meeting time and place.
- Take turns leading the discussions and presenting on specific topics.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Practice 2^k factorial design exercises
Show steps
Practice solving 2^k factorial design exercises to improve your understanding of the concept.
Browse courses on
Factorial Design
Show steps
Show steps
Show steps
- Review the lecture notes on 2^k factorial design.
- Attempt to solve the practice problems provided in the textbook.
- Seek help from the instructor or classmates if needed.
Create a presentation on blocking in factorial design
Show steps
Creating a presentation on blocking in factorial design will help you understand the concept and improve your communication skills.
Browse courses on
Factorial Design
Show steps
Show steps
Show steps
- Gather information on blocking in factorial design from textbooks, research papers, and online resources.
- Organize the information into a logical flow for your presentation.
- Create visual aids such as slides or diagrams to illustrate your points.
- Practice your presentation and get feedback from peers or the instructor.
Attend a workshop on ANOVA for factorial design analysis
Show steps
Attending a workshop on ANOVA for factorial design analysis will provide you with hands-on experience and improve your understanding.
Browse courses on
Factorial Design
Show steps
Show steps
Show steps
- Search for workshops on ANOVA for factorial design analysis in your area or online.
- Register for the workshop and pay the registration fee.
- Attend the workshop and actively participate in the activities.
- Follow up with the workshop organizers or instructors if you have any questions.
Contribute to an open-source project related to factorial design
Show steps
Contributing to an open-source project will provide you with practical experience and enhance your understanding of real-world applications.
Browse courses on
Factorial Design
Show steps
Show steps
Show steps
- Identify open-source projects related to factorial design on platforms like GitHub.
- Review the project documentation and identify areas where you can contribute.
- Contact the project maintainers and express your interest in contributing.
- Follow the project's guidelines and make your contributions.
Career center
Learners who complete Factorial and Fractional Factorial Designs will develop knowledge and skills
that may be useful to these careers:
Statistician
Statistician
Statisticians collect, analyze, and interpret data. They also work on developing new technologies for the statistics industry. Factorial and Fractional Factorial Designs is a core foundational element of statistics that is required for success. The course covers the benefits of fractional factorials, along with methods for constructing and analyzing the data from these experiments, and an understanding of ANOVA for analyzing the resulting data.
Software Engineer
Software Engineer
Software Engineers design and develop software. They also work on developing new technologies for the software industry. Factorial and Fractional Factorial Designs may be useful for Software Engineers because it can help them to design experiments to test the effects of different factors on the performance of software.
Mechanical Engineer
Mechanical Engineer
Mechanical Engineers design and build machines and other mechanical devices. They also work on developing new technologies for the mechanical industry. Factorial and Fractional Factorial Designs may be useful for Mechanical Engineers because it can help them to design experiments to test the effects of different factors on the performance of machines and other mechanical devices.
Chemical Engineer
Chemical Engineer
Chemical Engineers design and operate chemical plants and other facilities where chemicals are produced. They also work on developing new technologies for the chemical industry. Factorial and Fractional Factorial Designs may be useful for Chemical Engineers because it can help them to design experiments to test the effects of different factors on the performance of chemical plants and other facilities.
Petroleum Engineer
Petroleum Engineer
Petroleum Engineers design and operate oil and gas wells. They also work on developing new technologies for the petroleum industry. Factorial and Fractional Factorial Designs may be useful for Petroleum Engineers because it can help them to design experiments to test the effects of different factors on the performance of oil and gas wells.
Biomedical Engineer
Biomedical Engineer
Biomedical Engineers design and develop medical devices and equipment. They also work on developing new technologies for healthcare. Factorial and Fractional Factorial Designs may be useful for Biomedical Engineers because it can help them to design experiments to test the effects of different factors on the performance of medical devices and equipment.
Civil Engineer
Civil Engineer
Civil Engineers design and build infrastructure, such as roads, bridges, and buildings. They also work on developing new technologies for the construction industry. Factorial and Fractional Factorial Designs may be useful for Civil Engineers because it can help them to design experiments to test the effects of different factors on the performance of infrastructure.
Nuclear Engineer
Nuclear Engineer
Nuclear Engineers design and operate nuclear power plants and other nuclear facilities. They also work on developing new technologies for the nuclear industry. Factorial and Fractional Factorial Designs may be useful for Nuclear Engineers because it can help them to design experiments to test the effects of different factors on the performance of nuclear power plants and other nuclear facilities.
Aerospace Engineer
Aerospace Engineer
Aerospace Engineers design and test aircraft, spacecraft, and missiles. They also work on developing new technologies for these vehicles. Factorial and Fractional Factorial Designs may be useful for Aerospace Engineers because it can help them to design experiments to test the effects of different factors on the performance of aircraft, spacecraft, and missiles.
Electrical Engineer
Electrical Engineer
Electrical Engineers design and build electrical systems and equipment. They also work on developing new technologies for the electrical industry. Factorial and Fractional Factorial Designs may be useful for Electrical Engineers because it can help them to design experiments to test the effects of different factors on the performance of electrical systems and equipment.
Industrial Engineer
Industrial Engineer
Industrial Engineers design and improve industrial processes. They also work on developing new technologies for the manufacturing industry. Factorial and Fractional Factorial Designs may be useful for Industrial Engineers because it can help them to design experiments to test the effects of different factors on the performance of industrial processes.
Systems Engineer
Systems Engineer
Systems Engineers design and develop complex systems. They also work on developing new technologies for the systems engineering industry. Factorial and Fractional Factorial Designs may be useful for Systems Engineers because it can help them to design experiments to test the effects of different factors on the performance of complex systems.
Computer Engineer
Computer Engineer
Computer Engineers design and build computers and other electronic devices. They also work on developing new technologies for the computer industry. Factorial and Fractional Factorial Designs may be useful for Computer Engineers because it can help them to design experiments to test the effects of different factors on the performance of computers and other electronic devices.
Data Scientist
Data Scientist
Data Scientists collect, analyze, and interpret data. They also work on developing new technologies for the data science industry. Factorial and Fractional Factorial Designs may be useful for Data Scientists because it can help them to design experiments to test the effects of different factors on the performance of data science models.
Materials Engineer
Materials Engineer
Materials Engineers design and develop new materials. They also work on developing new technologies for the materials industry. Factorial and Fractional Factorial Designs may be useful for Materials Engineers because it can help them to design experiments to test the effects of different factors on the performance of new materials.
For more career information including salaries, visit:
OpenCourser.com/course/wa9btn/factorial
Reading list
We've selected 12 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Factorial and Fractional Factorial Designs.
Classic textbook on the design and analysis of experiments, and it valuable resource for anyone who wants to learn more about factorial design. It provides a comprehensive overview of the topic, from the basics to advanced techniques.
Provides comprehensive coverage of the design and analysis of experiments, including factorial and fractional factorial designs. It valuable resource for students and professionals in engineering, science, and business.
Save
Classic work on the design of experiments, and it must-read for anyone who wants to learn more about the subject. It provides a clear and concise overview of the principles of experimental design, and it includes many examples.
Save
Provides a more theoretical approach to the design and analysis of experiments, including factorial and fractional factorial designs. It valuable resource for students and professionals who want to gain a deeper understanding of the subject.
More specialized treatment of fractional factorial design, and it good choice for readers who want to learn more about this topic. It provides a detailed discussion of the theory and practice of fractional factorial design, and it includes many examples.
Specialized treatment of experiments with mixtures, and it valuable resource for anyone who wants to learn more about this topic. It provides a detailed discussion of the theory and practice of experiments with mixtures, and it includes many examples.
Provides a comprehensive introduction to linear regression analysis, including the use of factorial and fractional factorial designs. It valuable resource for students and professionals who need to use linear regression analysis in their work.
Provides a practical introduction to statistics and probability, including the use of factorial and fractional factorial designs. It valuable resource for students and professionals in engineering who need to apply statistics and probability to their work.
Provides a comprehensive introduction to Taguchi methods for quality engineering, including the use of factorial and fractional factorial designs. It valuable resource for students and professionals who need to design and analyze experiments using Taguchi methods.
Provides a comprehensive introduction to statistical methods for quality improvement, including the use of factorial and fractional factorial designs. It valuable resource for students and professionals who need to apply statistical methods for quality improvement to their work.
Provides a comprehensive introduction to response surface methodology, including the use of factorial and fractional factorial designs. It valuable resource for students and professionals who need to design and analyze experiments using response surface methodology.
Provides a comprehensive introduction to experiments with mixtures, including the use of factorial and fractional factorial designs. It valuable resource for students and professionals who need to design and analyze experiments with mixtures.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/wa9btn/factorial
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Effort
4 weeks of study, 4-8 hours/week
Level
Intermediate
Via
Coursera
Institution
Arizona State University
Instructor
Douglas C. Montgomery
Language
English
Transcripts
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This course belongs to a
collection
called
Design of Experiments. It's comprised of four courses:
- Factorial and Fractional Factorial Designs (viewing)
- Experimental Design Basics
- Random Models, Nested and Split-plot Designs
- Response Surfaces, Mixtures, and Model Building
Good to know
Suitable for learners with some prior knowledge in experimental design and statistics
Developed by Douglas C. Montgomery, a renowned professor in the field of statistics
Explores experimental design techniques, which are fundamental in various disciplines including engineering, science, and business
Covers topics such as factorial design, blocking, fractional factorials, and ANOVA, providing a comprehensive understanding of multifactor experiments
Provides practical knowledge applicable to real-world scenarios where multiple factors are involved
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