To see whether thrust force in drilling is affected by drilling speed (A), feed

Question

To see whether thrust force in drilling is affected by drilling speed (A), feed rate (B), or material used (C), an experiment using four speeds, three rates, and two materials was performed, with two samples (L2) drilled at each combination of levels of the three factors. Sums of squares were calculated as follows: SSA-19, 199.84, SSB = 2,588,295.99, SSC = 157,915.06, SSAB = 52,537.44, SSAC = 9,027.51, SSBC = 91,600.67, and SSE = 57,606.72, and SST = 3,008,575.18. Construct the ANOVA table and identify significant interactions using = 0.01, (Give SS and MS accurate to 1 decimal place, F values to 2 decimal places, and Df as exact integers.) Source Df MS A (drilling speed) B (feed rate) C (material used) AB AC BC ABC Error Total Select the significant interaction(s) at level 0.01. (Select all that apply.) O AB (drilling speed and feed rate) O AC (drilling speed and material used) O BC (feed rate and material used) OABC (drilling speed, feed rate, and material used) O none of the above Is there any single factor that appears to have no effect on thrust force? (In other words, does any factor appear nonsignificant in every effect in which it appears?) A (drilling speed) O B (feed rate) O C (material used) O All factors are significant You may need to use the appropriate table in the Appendix of Tables to answer this question

Explanation / Answer

significance ineteraction:  BC

Source df SS MS F p value A 3 19199.84 6399.9 2.67 0.0706 B 2 2588295.99 1294148.0 539.17 0.0000 C 1 157915.06 157915.1 65.79 0.0000 AB 6 52537.44 8756.2 3.65 0.0103 AC 3 9027.51 3009.2 1.25 0.3125 BC 2 91600.67 45800.3 19.08 0.0000 ABC 6 32391.95 5398.7 2.25 0.0729 error 24 57606.72 2400.3 total 47 3008575.18

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