an engineer has set up a doe (design-of-experiment) to test the wear of laminated materials and how it depends on the glue and filler used. at each test condition, two experiments were run. the engineer collected the data below. calculate the main and interaction effects.

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Main Effects:

The main effects refer to the influence that each factor (glue and filler) has on the wear of the laminated material. The main effect of glue can be calculated by taking the average of the wear values at each level of glue, while the main effect of filler can be calculated by taking the average of the wear values at each level of filler.

Interaction Effects:

The interaction effects refer to the influence that the combination of glue and filler has on the wear of the laminated material. To calculate the interaction effect, we need to subtract the main effects of glue and filler from the observed wear values at each test condition. The result is the interaction effect.

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