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Factorial and Fractional Factorial Designs

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Factorial and Fractional Factorial Designs

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Gain insight into a topic and learn the fundamentals.
4.8

83 reviews

Intermediate level
Some related experience required
1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
Gain insight into a topic and learn the fundamentals.
4.8

83 reviews

Intermediate level
Some related experience required
1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • Conduct a factorial experiment in blocks and construct and analyze a fractional factorial design

  • Apply the factorial concept to experiments with several factors

  • Use the analysis of variance for factorial designs

  • Use the 2^k system of factorial designs

Details to know

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Assessments

8 assignments¹

AI Graded see disclaimer
Taught in English

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This course is part of the Design of Experiments Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
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There are 4 modules in this course

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.

What's included

9 videos5 readings2 assignments1 app item1 discussion prompt

9 videos•Total 72 minutes
  • Instructor Welcome•3 minutes
  • Course Introduction•4 minutes
  • Introduction to Factorials•14 minutes
  • The Battery Life Experiment•15 minutes
  • Choice of Sample Size•8 minutes
  • Factorials with More Than Two Factors•9 minutes
  • Battery Life Example•7 minutes
  • Tool Life Example•6 minutes
  • Target Detection Example•6 minutes
5 readings•Total 50 minutes
  • Course Description•10 minutes
  • Course Textbook and Resources•10 minutes
  • Best Practices in Online Learning (or How to Succeed in This Class)•10 minutes
  • Project•10 minutes
  • Unit 1: Introduction•10 minutes
2 assignments•Total 60 minutes
  • Unit 1: Concept Questions•30 minutes
  • Exercise 1•30 minutes
1 app item•Total 60 minutes
  • JMP Virtual Lab•60 minutes
1 discussion prompt•Total 10 minutes
  • Meet the class•10 minutes

What's included

12 videos1 reading2 assignments

12 videos•Total 131 minutes
  • Analysis Procedure for a Factorial Design•17 minutes
  • Reduced Model•5 minutes
  • How Much Replication is Necessary?•13 minutes
  • ANOVA Summary - Full Model•14 minutes
  • The General 2^k Factorial Design•10 minutes
  • Estimates of the Effects•10 minutes
  • Other Methods for Analyzing Unpredicated Factorials•9 minutes
  • Outliers•15 minutes
  • The 2^k design and design optimality•14 minutes
  • Addition of Center Points to a 2^k Design•16 minutes
  • Plasma Etching Example•5 minutes
  • Filtration Rate Example•4 minutes
1 reading•Total 10 minutes
  • Unit 2: Introduction•10 minutes
2 assignments•Total 38 minutes
  • Unit 2: Concept Questions•8 minutes
  • Exercise 2•30 minutes

What's included

4 videos1 reading2 assignments

4 videos•Total 25 minutes
  • Blocking a Replicated Design•5 minutes
  • Confounding in Blocks•9 minutes
  • Confounding in Blocks, Pt. 2•7 minutes
  • Filtration Rate with Blocking Example•4 minutes
1 reading•Total 10 minutes
  • Unit 3: Introduction•10 minutes
2 assignments•Total 30 minutes
  • Unit 3: Concept Questions•0 minutes
  • Exercise 3•30 minutes

What's included

9 videos1 reading2 assignments1 peer review

9 videos•Total 115 minutes
  • Why do Fractional Factorial Designs Work?•12 minutes
  • Construction of a One-half Fraction•15 minutes
  • The General 2^(k-p) Fractional Factorial Design•20 minutes
  • Alias Structures in Fractional Factorials and Other Designs•7 minutes
  • Resolution III Designs•15 minutes
  • Plackett-Burman Designs•17 minutes
  • Resolution IV and V Designs•17 minutes
  • Filtration Rate Fractional Factorial Example•4 minutes
  • Eye Focus Time Example•6 minutes
1 reading•Total 10 minutes
  • Unit 4: Introduction•10 minutes
2 assignments•Total 30 minutes
  • Unit 4: Concept Questions•0 minutes
  • Exercise 4•30 minutes
1 peer review•Total 60 minutes
  • Project Report•60 minutes

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Instructor

Instructor ratings
4.7 (31 ratings)
Arizona State University
6 Courses•30,298 learners

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DR
·

Reviewed on Jul 25, 2020

Gain valuable insights into the Design of Experiments.

AA
·

Reviewed on Sep 20, 2020

thanks montgomery sir, and thanks to arizona state university

JH
·

Reviewed on Sep 19, 2025

Textbook is needed and will be a good foundation for this course. Special thanks to Professor and Example instructor.

Frequently asked questions

To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.

When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.

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¹ Some assignments in this course are AI-graded. For these assignments, your data will be used in accordance with Coursera's Privacy Notice.