Test for the significance of all possible effects

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Factorial Design

In a 23 Full Factorial experiment to test the effects of cutting speed (A), Feed rate (B) and Hardness (C) on the surface finish. The data in Table 7 shows one observation per each of the 8 combinations. Test for the significance of all possible effects.

Cutting Speed A


300RPM 350R PM

Hardness C

30 40 30 40
Feed Rate B



0.002 10 15 8 13
0.004 14 16 10 12

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This task provides a clear description on factorial ANOVA. When all factors have been coded so that the high value is "1" and the low value is "-1", the design matrix for any full (or suitably chosen fractional) factorial experiment has columns that are all pairwise orthogonal and all the columns (except the "I" column) sum to 0

Reference no: EM131972267

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