Design and analysis of experiments

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This is a work in progress. It will be completed by the end of the day on 04 January 2016.

Learning outcomes

  • Learn the basic terminology of experiments: responses, factors, outcomes, real-world units vs coded units, confounding
  • Analyze and interpret data from an experiment with 2, 3 or more factors by hand
  • Use R to do the analysis, and interpret the various plots, such as the Pareto plot
  • Analyze and interpret data from an experiment with 3 or more factors
  • Recognize when to use a fractional factorial, to go mostly the same results as from a full factorial
  • Understand when to use screening experiments
  • Use the concepts of response surface methods to systematically reach an optimum
  • What you can do when you make a mistake, or hit against constraints.

Extended readings/practice

Resources

Tasks to do first Quiz Solution
Watch videos 1A, 1B, 1C and 1D Quiz Solution
Watch videos 2A, 2B, 2C, 3A and 3B (note!) Quiz Solution
Watch videos 2D, 3C and 3D and 4A (note!) Quiz Solution
Watch videos 4B, 4C, 4D, and 4E Quiz Solution
Watch videos 4F, 4G, 4H, 5A and 5B Quiz Solution
Watch videos 5C, 5D, 5E and 5F Quiz Solution

Class videos from prior years

Videos from 2015

  • 00 - Introduction video for the Coursera online course [01:56]
  • 1A - Why experiments are so important [07:48]
  • 1B - Some basic terminology [06:37]
  • 1C - Analysis of your first experiment [09:00]
  • 1D - How NOT to run an experiment [03:07]
  • 2A - Analysis of experiments in two factors by hand [13:37]
  • 2B - Numeric predictions from two-factor experiments [07:25]
  • 2C - Two-factor experiments with interactions [15:15]
  • 2D - In-depth case study: analyzing a system with 3 factors by hand [17:28]
  • 3A - Setting up the least squares model for a 2 factor experiment [05:46]
  • 3B - Solving the mathematical model for a 2 factor experiment using software [08:46]
  • 3C - Using computer software for a 3 factor experiment [08:37]
  • 3D - Case study: a 4-factor system using computer software [09:03]
  • 4A - The trade-offs when doing half-fraction factorials [13:20]
  • 4B - The technical details behind half-fractions [09:38]
  • 4C - A case study with aliasing in a fractional factorial [06:38]
  • 4D - All about disturbances, why we randomize, and what covariates are [11:00]
  • 4E - All about blocking [09:21]
  • 4F - Fractional factorials: introducing aliasing notation [12:00]
  • 4G - Fractional factorials: using aliasing notation to plan experiments [10:45]
  • 4H - An example of an analyzing an experiment with aliasing [09:50]
  • 5A - Response surface methods - an introduction [06:13]
  • 5B - Response surface methods (RSM) in one variable [18:40]
  • 5C - Why changing one factor at a time (OFAT) will mislead you [05:33]
  • 5D - The concept of contour plots and which objectives should we maximize [03:40]
  • 5E - RSM in 2 factors: introducing the case study [19:20]
  • 5F - RSM case study continues: constraints and mistakes [13:45]
  • 5G - RSM case study continues: approaching the optimum [17:05]
  • 06 - Wrap-up: the course in review, multiple objectives, and references for the future [08:10]
01:56 | Download video | Download captions | Script
07:24 | Download video | Download captions | Script
05:48 | Download video | Download captions | Script
08:57 | Download video | Download captions | Script
03:23 | Download video | Download captions | Script
13:37 | Download video | Download captions | Script
07:25 | Download video | Download captions | Script
15:15 | Download video | Download captions | Script
17:28 | Download video | Download captions | Script
05:46 | Download video | Download captions | Script
08:46 | Download video | Download captions | Script
08:37 | Download video | Download captions | Script
09:03 | Download video | Download captions | Script
13:20 | Download video | Download captions | Script
09:38 | Download video | Download captions | Script
06:38 | Download video | Download captions | Script
11:00 | Download video | Download captions | Script
09:21 | Download video | Download captions | Script
12:00 | Download video | Download captions | Script
10:45 | Download video | Download captions | Script
09:50 | Download video | Download captions | Script
06:13 | Download video | Download captions | Script
18:40 | Download video | Download captions | Script
05:33 | Download video | Download captions | Script
03:40 | Download video | Download captions | Script
19:20 | Download video | Download captions | Script
13:45 | Download video | Download captions | Script
17:05 | Download video | Download captions | Script
08:10 | Download video | Download captions | Script

Videos from 2014

See the webpage from 2014

Videos from 2013

See the webpage from 2013

Software codes for this section

Code to show how to build and plot a least squares model in R

Try this code in a web-browser