Question: 4. A 25 design will be run in eight blocks. Let the five factors be denoted by A, B, C, D, and E. (a) What

4. A 25 design will be run in eight blocks. Let the five factors be denoted by A, B, C, D, and E.

(a) What is the total number of effects that must be confounded with the block effects?

(b) Construct the set of confounded effects from the defining effects ABC, BCD, and CDE.

(c) Use R commands to find the allocation of runs into the eight blocks so the block effects are confounded only with the defining effects and their generalized interaction.

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