An investigator is considering two blocking schemes for a $2^{4}$ design with 4 blocks. The two schemes

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An investigator is considering two blocking schemes for a $2^{4}$ design with 4 blocks. The two schemes are listed below.

Scheme 1: $B_{1}=134, B_{2}=234$
• Scheme 2: $B_{1}=12, B_{2}=13, B_{3}=1234$

a. Which runs are assigned to which blocks in each scheme?

b. For each scheme, list all interactions confounded with block effects.

c. Which blocking scheme is preferred? Explain why.

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