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Design of Experiments, ANOVA, Coded Factor Level

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I need a couple of good example problems worked and done fully. The Book is Design of Experiments by Montgomery. Prefer results in Minitab.

Perform DOE

a) Estimate factor levels

b. Use ANOVA to confirm part A

c. Write Down a regression model for predicting tool life (in hours)

d. Anlayze the residuals Any obvious problems?

E. Based on analysis which coded factor levels should be used?

Problem 1

Cutting Speed Tool Geometry Cutting Angle Life Hours
1 -1 -1 -1 22
2 -1 -1 -1 31
3 -1 -1 -1 25
4 1 -1 -1 32
5 1 -1 -1 43
6 1 -1 -1 29
7 -1 1 -1 35
8 -1 1 -1 34
9 -1 1 -1 50
10 1 1 -1 55
11 1 1 -1 47
12 1 1 -1 46
13 -1 -1 1 44
14 -1 -1 1 45
15 -1 -1 1 38
16 1 -1 1 40
17 1 -1 1 37
18 1 -1 1 36
19 -1 1 1 60
20 -1 1 1 50
21 -1 1 1 54
22 1 1 1 39
23 1 1 1 41
24 1 1 1 47

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Solution Summary

Excel spreadsheet shows how to write a regression model, analyze residuals, determine coded factor levels and estimate factor levels for an experiment with data provided.

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