ISE 525 Design of Experiments Homework #3
Spring Semester 2021 Due: Thursday, February 18
1) Using the data from Exercise 3.1 in Myers, Montgomery, and Anderson-Cook (MMA-C), complete the following analysis by hand.
a) Calculate an ANOVA and indentify the significant effects.
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b) Draw the AB interaction plot. Interpret the plot. What levels of of the factors would you recommend?
c) Fit a regression model to the data using the effect estimates and coded variables.
d) Assuming that the regression model is adequate, at what rpm must the drill run to maintain vibration less than 25 for the 1/8 inch bit?
2) Using the data from Exercise 3.9 in MMA-C, complete the following analysis using an appropriate statistical software package.
Note: The level for factor D in Treatment Combination d should be +.
a) Calculate an ANOVA and indentify the significant effects.
b) Estimate treatment means for the significant effects and recommend appropriate settings.
c) Prepare residuals plots for the analysis. Are there any indications that the ANOVA assumptions have been violated?
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