This video is the second part of a guest lecture in the "Quality Engineering and Design" course given at Linköping University. The guest lecture was given through a recording made in August 2021. The video provides an example session and a Minitab tutorial using an example of a robust design experiment with ONE NOISE FACTOR and THREE CONTROL FACTORS. Example data are from Example 6.2 and 12.1 in Montgomery, D.C. (2017). "Design and analysis of experiments", Wiley. It may be best to follow along in Minitab and pause the video when needed. Best wishes, Erik
The analysis is based on the so-called "Combined array design" using a factorial desgn and "the response model" which can be used to produce one model for the expected value and one model for the variance.
Chapters:
0:00 Introduction
1:40 Example, data, and design. Example 6.2 and 12.1 in Montgomery (2017).
5:21 Building the experimental design (2^4 factorial) in Minitab.
7:12 Naming and classifying the factors in Minitab.
9:31 Some discussion of Minitab options when creating the design.
10:40 Created experimental design in Minitab.
11:33 Adding the response variable in Minitab.
13:30 Complete design in Minitab (with the response variable)
13:48 The main steps in the analysis (repetition).
14:25 Analyzing the experimental design in Minitab.
15:08 Choosing the model terms in Minitab
15:59 Some discussion on other analysis options in Minitab.
18:50 First analysis step - full model with all terms.
23:16 Second analysis step - Reduced model (only significant terms).
27:59 Residual analysis of the entertained model.
31:39 Producing the "response model."
33:43 Expected value (mean) and variance given the response model.
35:55 Using the response model to find "good" values of the control factors.
36:33 Studying interactions between control and noise factors in Minitab.
41:09 Using useful interactions between control and noise factors.
43:02 Minimizing the variance equation in MS Excel.
48:20 Setting of significant control factors to minimize variance.