hw6 - Rep. 1 Rep. 2 Ignitor Main Charge Booster Delay Delay...

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Home Work 6 1 Scientists ran two replicates of a 2 2 design to determine the eFect of kind of ignitor and type of main charge of the delay time of a fuse. They de±nitely want to keep the delay time under 30 seconds. The results of the experiment were Rep. 1 Rep. 2 Ignitor Main Charge Delay Delay 1 1 10.70 9.82 2 1 18.42 18.62 1 2 15.04 16.02 2 2 22.94 31.22 (a) Draw a box and attach the sample means at the corners. (b) Estimate the main eFect of Ignitor, main eFect of Charge and their interaction. Base your calculations on your ±gure in Part(a). (c) Calculate 95 % con±dence intervals for your estimates in Part (b). Interpret the results. (d) Write the design with three columns of ± 1 and calculate the esti- mated eFects using this column and the column of means. 2 The experiment in Problem 1 was actually part of a larger experiment that involved two diFerent booster charges, one powder and one pellet.
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Unformatted text preview: Rep. 1 Rep. 2 Ignitor Main Charge Booster Delay Delay 1 1 powder 10.70 9.82 2 1 powder 18.42 18.62 1 2 powder 15.04 16.02 2 2 powder 22.94 31.22 1 1 pellet 10.02 10.36 2 1 pellet 22.80 25.14 1 2 pellet 27.26 21.42 2 2 pellet 32.92 21.38 (a) Draw a cube and attach the sample means at the corners. (b) Estimate the the main eFects, the three two factor interactions and the three factor interaction. Base your calculations on your gure in Part(a). (c) Calculate 95 % condence intervals for your estimates in Part (b). (d) Write the design with seven columns of 1 and calculate the esti-mated eFects using this column and the column of means. 3 Check your answers to problems 1. and 2. Comment on any diFerences. How do the sums of squares for any factor compare with estimated eFect in each case? 1...
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