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

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 (L = 2) drilled at each combination of levels of the three factors. Sums of squares were calculated as follows: SSA = 19,147.01, SSB = 2,589,312.99, SSC = 157,821.49, SSAB = 52,204.08, SSAC = 9,014.80, SSBC = 91,685.06, and SSE = 57,726.03, and SST = 3,008,677.36. 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.)

Select the significant interaction(s) at level 0.01. (Select all that apply.)

AB (drilling speed and feed rate)AC (drilling speed and material used)BC (feed rate and material used)ABC (drilling speed, feed rate, and material used)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)B (feed rate)    C (material used)All factors are significant.

Source Df SS MS F A (drilling speed) B (feed rate) C (material used) AB AC BC ABC Error Total

Explanation / Answer

1) AC (drilling speed and material used)BC (feed rate and material used)

2) B (feed rate)    C (material used)

Source Df SS MS F p values A (drilling speed) 3 19147.01 6382.3 2.65 0.0715 B (feed rate) 2 2589312.99 1294656.5 538.26 0.0000 C (material used) 1 157821.49 157821.5 65.62 0.0000 AB 6 52204.08 8700.7 3.62 0.0107 AC 3 9014.8 3004.9 1.25 0.3139 BC 2 91685.06 45842.5 19.06 0.0000 ABC 6 31765.9 5294.3 2.20 0.0783 Error 24 57726.03 2405.3 1.00 0.5000 Total 47 3008677.36

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