ISE 135 In-class exercise (Groups of max. 3 students)
Fractional Factorial Design
Consider a 25-1 design below. Note that Basic design is already created using 24 runs.
Create the 5th column
What would be the defining relationship and generator in this design? . Minitab will also tell you what the generator of this /1/2 fractional design of 25 experiment once you create the design.
Calculate the main effect of A manually
Enter the data to Minitab and analyze the data and make conclusions. Be careful- this is a single replicate, so you need to do some extra steps to create an ANOVA table.
If your aim was to find the best combination of factor levels that maximize your response, what would they be?
Basic Design Treatment Combination Yield
Run A B C D E
1 – – – – e 8
2 + – – – a 9
3 – + – – b 34
4 + + – – abe 52
5 – – + – c 16
6 + – + – ace 22
7 – + + – bce 45
8 + + + – abc 60
9 – – – + d 6
10 + – – + ade 10
11 – + – + bde 30
12 + + – + abd 50
13 – – + + cde 15
14 + – + + acd 21
15 – + + + bcd 44
16 + + + + abcde 63