An article in Journal of Construction Engineering and Management (Analysis of Earth-Moving Systems Using DiscreteEvent Simulation, 1995, Vol. 121(4), pp. 388396) considered a replicated two-level

An article in Journal of Construction Engineering and Management (€œAnalysis of Earth-Moving Systems Using Discrete€”Event Simulation,€ 1995, Vol. 121(4), pp. 388€“396) considered a replicated two-level factorial experiment to study the factors most important to output in an earth-moving system. Handle the experiment as four replicates of a 2⁴factorial design with response equal to production rate (m3 / h). The data are shown in the following table.

(a) Estimate the factor effects. Based on a normal probability plot of the effect estimates, identify a model for the data from this experiment.

(b) Conduct an ANOVA based on the model identified in part

(a). What are the conclusions?

(c) Analyze the residuals and plot residuals versus the predicted production.

(d) Comment on model adequacy.

Production (m'/h) Number of Trucks Passes Load-pass Time Travel per Load Row Time 2 176.3 179.6 179.8 173.1 373.1 375.9 372.4 361.1 153.2 153.6 150.8 148.6 4 226.1 220.0 225.7 218.5 154.2 242.3 156.9 155.4 152.2 233.5 242.0 233.6 122.7 119.6 120.9 118.6 135.7 130.9 135.5 131.6 44.2 124.2 44.0 43.5 43.6 10 123.3 122.8 121.6 42.5 11 42.0 42.4 41.0 12 116.3 117.3 115.6 114.7 42.1 13 42.6 42.8 42.9 14 119.1 119.5 116.9 117.2 15 39.6 39.7 39.5 39.2 105.3 16 107.0 104.2 103.0 |III IIII + + + + + + + + |III + + + + III| + + + + I + +| I + +| I + + | I + + +I + +| + I +| + | +| + 6789