# What would be the defining relationship and generator in this design? Enter the data to Minitab and analyze the data and make conclusions.

ISE 135 In-class exercise (Groups of max. 3 students)

Fractional Factorial Design

You need to answer the following questions and submit a word document to CANVAS with your answers

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

What would be the defining relationship and generator in this design? Enter the data to Minitab and analyze the data and make conclusions.