Repeat Problem 7-5 assuming that four blocks are required. Confound ABD and ABC (and consequently CD) with blocks.

Problem 7-5 

Consider the data from the first replicate of Problem 6-7. Construct a design with two blocks of eight observations each with ABCD confounded. Analyze the data.

Problem 6-7.

An experiment was performed to improve the yield of a chemical process. Four factors were selected, and two replicates of a completely randomized experiment were run. The results are shown in the following table:

 

Replicate Replicate Treatment Combination Treatment I II Combination II (1) 90 93 d 98 95 a 74 78 ad 72 76 81 85 bd 87 83 ab 83 80 abd 85 86 77 78 cd 99 90 81 80 acd 79 75 bc 88 82 bcd 87 84 abc 73 70 abcd 80 80