This course is part of the Design of Experiments Specialization

4.8
stars
62 ratings

Douglas C. Montgomery

4,602 already enrolled

Offered By

Design of Experiments SpecializationArizona State University

About this Course

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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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Course 2 of 4 in the

Design of Experiments Specialization

Intermediate Level

Approx. 11 hours to complete

English

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What you will 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

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Coursera Labs

Includes hands on learning projects.

Learn more about Coursera Labs

Course 2 of 4 in the

Design of Experiments Specialization

Intermediate Level

Approx. 11 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructor

Instructor rating

4.86/5 (24 Ratings)

Douglas C. Montgomery

Regents’ Professor of Engineering, ASU Foundation Professor of Engineering

School of Computing, Informatics, and Decision Systems Engineering

16,518 Learners

4 Courses

Offered by

Arizona State University

Arizona State University has developed a new model for the American Research University, creating an institution that is committed to excellence, access and impact. ASU measures itself by those it includes, not by those it excludes. ASU pursues research that contributes to the public good, and ASU assumes major responsibility for the economic, social and cultural vitality of the communities that surround it.

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Syllabus - What you will learn from this course

Week1

Week 1

4 hours to complete

Unit 1: Introduction to Factorial Design

4 hours to complete

9 videos (Total 72 min), 5 readings, 3 quizzes

9 videos

Instructor Welcome3mCourse Introduction3mIntroduction to Factorials14mThe Battery Life Experiment15mChoice of Sample Size7mFactorials with More Than Two Factors9mBattery Life Example6mTool Life Example6mTarget Detection Example5m

5 readings

Course Description10mCourse Textbook and Resources10mBest Practices in Online Learning (or How to Succeed in This Class)10mProject10mUnit 1: Introduction10m

2 practice exercises

Unit 1: Concept Questions30mExercise 130m

Week2

Week 2

3 hours to complete

Unit 2: The 2^k Factorial Design

3 hours to complete

12 videos (Total 131 min), 1 reading, 2 quizzes

12 videos

Analysis Procedure for a Factorial Design16mReduced Model4mHow Much Replication is Necessary?12mANOVA Summary - Full Model13mThe General 2^k Factorial Design10mEstimates of the Effects9mOther Methods for Analyzing Unpredicated Factorials9mOutliers15mThe 2^k design and design optimality13mAddition of Center Points to a 2^k Design15mPlasma Etching Example5mFiltration Rate Example4m

1 reading

Unit 2: Introduction10m

2 practice exercises

Unit 2: Concept Questions8mExercise 230m

Week3

Week 3

1 hour to complete

Unit 3: Blocking and Confounding in the 2^k Factorial Design

1 hour to complete

4 videos (Total 25 min), 1 reading, 2 quizzes

Week4

Week 4

4 hours to complete

Unit 4: Two-Level Fractional Factorial Designs

4 hours to complete

9 videos (Total 115 min), 1 reading, 3 quizzes

9 videos

Why do Fractional Factorial Designs Work?12mConstruction of a One-half Fraction14mThe General 2^(k-p) Fractional Factorial Design19mAlias Structures in Fractional Factorials and Other Designs7mResolution III Designs15mPlackett-Burman Designs17mResolution IV and V Designs17mFiltration Rate Fractional Factorial Example4mEye Focus Time Example6m

1 reading

Unit 4: Introduction10m

2 practice exercises

Unit 4: Concept QuestionsExercise 430m

Reviews

4.8

16 reviews

5 stars
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4 stars
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3 stars
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TOP REVIEWS FROM FACTORIAL AND FRACTIONAL FACTORIAL DESIGNS

by SKFeb 3, 2022

Great course for reasearcers and scientists who want perform experiments in a scientific way

by SHDec 21, 2020

Dense, very to the point and extremely useful course for me. I only wish there was more example videos in JMP.

by DRJul 25, 2020

Gain valuable insights into the Design of Experiments.

by AASep 20, 2020

thanks montgomery sir, and thanks to arizona state university

View all reviews

About the Design of Experiments Specialization

Learn modern experimental strategy, including factorial and fractional factorial experimental designs, designs for screening many factors, designs for optimization experiments, and designs for complex experiments such as those with hard-to-change factors and unusual responses. There is thorough coverage of modern data analysis techniques for experimental design, including software. Applications include electronics and semiconductors, automotive and aerospace, chemical and process industries, pharmaceutical and bio-pharm, medical devices, and many others.

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. 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.
What will I get if I subscribe to this Specialization?
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. If you only want to read and view the course content, you can audit the course for free.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

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Factorial and Fractional Factorial Designs

About this Course

What you will learn