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3.22. The response time in milliseconds was determined for three different types of circuits that could be used in an auto- matic valve shutoff mechanism. The results from a complete ly randomized experiment are shown in the following table: Circuit Type 12 21 Response Time 10 23 15 30 20 17 16(c) Use the graphical procedure in Section 3.5.3 to com- pare the treatment means. What conclusions can you draw? How do they compare with the conclusions from part (b)? (d) Construct a set of orthogonal contrasts, assuming that at the outset of the experiment you suspected the response time of circuit type 2 to be different from the other two. (e) If you were the design engineer and you wished to minimize the response time, which circuit type would you select? (f) Analyze the residuals from this experiment. Are the basic analysis of variance assumptions satisfied? Please use SAS to solve and show the code thank you.

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Answer #1

d)

C1 54 2(111) +42-126 SSe (-126)15*6 529.2 529.2/16.9 31.31

e) either type 1 or type 3 as they are not unique in relation to one another and have the most reduced reaction time

f) the lingering plot demonstrates some proof of unequal differences, anyway the leven's test for the equivalent change in the table underneath demonstrates that the equivalent fluctuation suspicion is substantial (p-esteem = .6145). the ordinary likelihood plot has a few that don't lie along the line in the upper locale. this may show potential exceptions in the information; notwithstanding, the institutionalized residuals at those focuses are still inside + or - 2. we can reason that the ordinary and equivalent change suspicions on the model mistakes are fulfilled.

Normal plot of residuals 95 90 70 0 30 ou 1.95 1.3 4 55 7.4 Residual

Residualsvs. Predicted 1.3 1.95 40 15 30 侣75 m 20 Pred icte d

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