Question: Seven factors are varied at two levels in an experiment involving only 16 trials. A 1 8 fraction of a 27 factorial experiment is used,

Seven factors are varied at two levels in an experiment involving only 16 trials. A 1 8 fraction of a 27 factorial experiment is used, with the defining contrasts being ACD, BEF, and CEG. The data are as follows:

Perform an analysis of variance on all seven main effects, assuming that interactions are negligible. Use a 0.05 level of significance.

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