Factorial Experiment Design Activity



Factorial Experiment Design ActivityWith the rising costs of fuel, you’ve decided to explore factors that might improve fuel economy. The factors I explored were:A – Switching to higher octane fuelB – Leaning out the fuel mixture under part-load conditionsTable 1: Fuel economy data for four different fuel tank fill-ups under each conditionABIIIIIIIV--32313033+-30282930-+32343634++32313333represents original fuel octane, A+ represents switching to 91 octanerepresents original air/fuel ratio, B+ represents increasing (lean) air/fuel ratioCalculate (1), a, b, and abCalculate MEA, MEB, and the Interaction Effect (AB)What can you say about the effects of changing fuel octane, and fuel mixture?Do you think there is a statistical difference? Why/Why not?Table 2: Suppose the data looked likeABIIIIIIIV--31.531.531.531.5+-29.2529.2529.2529.25-+34343434++32.2532.2532.2532.25Even though (1), a, b, and ab haven’t changed, do you feel more confident in your comments from question 3? Why so/why not? What if there was more data, but it was scattered like the first table?What statistical concepts do you expect will be helpful in determining when you could say there was a difference?Unsatisfied with the previous experiment, you’ve tried looking at a different factor. A – Switching to higher octane fuelB – Raising the compression ratio of the engineTable 3: Fuel economy data for four different fuel tank fill-ups under each conditionABIIIIIIIV--32313033+-30282930-+33333231++36353835represents original fuel octane, A+ represents switching to 91 octanerepresents original compression ratio, B+ represents a higher compression ratioCalculate (1), a, b, and abCalculate MEA, MEB, and the Interaction Effect (AB)Is there an interaction dependence for the two factors? What do you think the number AB represents? ................
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