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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider the data from the first replicate of Problem 6.1. Suppose that these observations could not all be run using the same bar stock. Set up a design to run these observations in two blocks of four observations each with ABC confounded. Analyze the data.
Problem 6.1
An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 23 factorial design are run. The results are as follows:

(a) Estimate the factor effects. Which effects appear to be large?
(b) Use the analysis of variance to confirm your conclusions for part (a).
(c) Write down a regression model for predicting tool life (in hours) based on the results of this experiment.
(d) Analyze the residuals. Are there any obvious problems?
(e) On the basis of an analysis of main effect and interaction plots, what coded factor levels of A, B, and C would you recommend using?
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