Seven factors are' varied at, two levels in an experiment involving only 16 trials. A 1/8 fraction of a 2 factorial experiment is used with the defining contrasts being ACD, BEF, and CEG. The data are as follows. Perform an analysis of variance em all seven main effects, assuming that interactions are negligible. Use a 0.05 level ofsignificance.

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Treat. Comb. Response Treat. Comb. Response 31.1 32.0 32.8 35.3 32.4 35.3 31.6 28.7 33.1 33.6 (1 MI acg cdg beg ade fg efg abdeg bedfg abcfg abce edef acef bade 33.7 34.2 abdf 32.5 35.6 35.1 27.8