Consider the data from the first replicate of Exercise 7-13. Suppose that these observations…

Consider the data from the first replicate of Exercise 7-13. Suppose that these observations could not all be run under the same conditions. Set up a design to run these observations in two blocks of four observations each, with ABC confounded. Analyze the data.

Exercise 7-13

An engineer is interested in the effect of cutting speed (A), metal hardness (B), and cutting angle (C) on the life of a cutting tool. Two levels of each factor are chosen, and two replicates of a 23 factorial design are run. The tool life data (in hours) are shown in the following table.

 (a) Analyze the data from this experiment using t-ratios with α = 0.05.

(b) Find an appropriate regression model that explains tool life in terms of the variables used in the experiment.

(c) Analyze the residuals from this experiment.

 

 

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