Question: Consider the data from the first replicate of Exercise 14-14. (a) Suppose that these observations could not all be run under the same conditions. Set

Consider the data from the first replicate of Exercise 14-14.

(a) 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.

(b) Analyze the data.

Exercise 14-14

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.

Replicate Treatment Combination П (1) 221 311 325 435 a 354 348 ab 552 472 440 453 406 377 ac bc 605 500 abc 392 419

Replicate Treatment Combination (1) 221 311 325 435 a 354 348 ab 552 472 440 453 406 377 ac bc 605 500 abc 392 419

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