Factorial and Fractional Factorial Designs

Factorial and Fractional Factorial Designs

This course is part of Design of Experiments Specialization

Instructor: Douglas C. Montgomery

6,454 already enrolled

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4 modules

Gain insight into a topic and learn the fundamentals.

4.8

(76 reviews)

Intermediate level

Some related experience required

11 hours to complete

3 weeks at 3 hours a week

Flexible schedule

Learn at your own pace

4 modules

Gain insight into a topic and learn the fundamentals.

4.8

(76 reviews)

Intermediate level

Some related experience required

11 hours to complete

3 weeks at 3 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

Skills you'll gain

Details to know

Shareable certificate

Add to your LinkedIn profile

Assessments

8 assignments

Taught in English

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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 videosTotal 72 minutes

Instructor Welcome3 minutesPreview module
Course Introduction3 minutes
Introduction to Factorials14 minutes
The Battery Life Experiment15 minutes
Choice of Sample Size7 minutes
Factorials with More Than Two Factors9 minutes
Battery Life Example6 minutes
Tool Life Example6 minutes
Target Detection Example5 minutes

5 readingsTotal 50 minutes

Course Description10 minutes
Course Textbook and Resources10 minutes
Best Practices in Online Learning (or How to Succeed in This Class)10 minutes
Project10 minutes
Unit 1: Introduction10 minutes

2 assignmentsTotal 60 minutes

Unit 1: Concept Questions30 minutes
Exercise 130 minutes

1 app itemTotal 60 minutes

JMP Virtual Lab60 minutes

1 discussion promptTotal 10 minutes

Meet the class10 minutes

What's included

12 videos1 reading2 assignments

12 videosTotal 131 minutes

Analysis Procedure for a Factorial Design16 minutesPreview module
Reduced Model4 minutes
How Much Replication is Necessary?12 minutes
ANOVA Summary - Full Model13 minutes
The General 2^k Factorial Design10 minutes
Estimates of the Effects9 minutes
Other Methods for Analyzing Unpredicated Factorials9 minutes
Outliers15 minutes
The 2^k design and design optimality13 minutes
Addition of Center Points to a 2^k Design15 minutes
Plasma Etching Example5 minutes
Filtration Rate Example4 minutes

1 readingTotal 10 minutes

Unit 2: Introduction10 minutes

2 assignmentsTotal 38 minutes

Unit 2: Concept Questions8 minutes
Exercise 230 minutes

What's included

4 videos1 reading2 assignments

What's included

9 videos1 reading2 assignments1 peer review

9 videosTotal 114 minutes

Why do Fractional Factorial Designs Work?12 minutesPreview module
Construction of a One-half Fraction14 minutes
The General 2^(k-p) Fractional Factorial Design19 minutes
Alias Structures in Fractional Factorials and Other Designs7 minutes
Resolution III Designs15 minutes
Plackett-Burman Designs17 minutes
Resolution IV and V Designs17 minutes
Filtration Rate Fractional Factorial Example4 minutes
Eye Focus Time Example6 minutes

1 readingTotal 10 minutes

Unit 4: Introduction10 minutes

2 assignmentsTotal 30 minutes

Unit 4: Concept Questions0 minutes
Exercise 430 minutes

1 peer reviewTotal 60 minutes

Project Report60 minutes

Instructor

Instructor ratings

4.7 (30 ratings)

Douglas C. Montgomery

Arizona State University

4 Courses24,510 learners

Offered by

Arizona State University

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4.8

76 reviews

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Reviewed on Jul 26, 2020

Gain valuable insights into the Design of Experiments.

Reviewed on Jun 14, 2023

The course was very nice. 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.

Reviewed on Dec 22, 2020

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

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