с 6.20 An animal nutrition experiment is to be performed, where the effects of four dietary factors on the growth of bab

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с 6.20 An animal nutrition experiment is to be performed, where the effects of four dietary factors on the growth of baby lambs are to be examined. Each factor is at two levels, high and low. They are A: vitamin A; B: protein; C: carbohy- drate; and D: fat. The experimenter is restricted to only treating four lambs at a given time, so the complete factorial (24) is to be run in the following four blocks: Blocks 1 2 3 4 (1) cd d ab abc abcd abd (a) The blocks are generated by the defining contrasts x1 + x2 + x3 + 24 and 11 + 22. Fill in blocks 3 and 4 to complete the factorial. (b) Find the alias sets. (c) What model will you use for the analysis? Based on that model run the anova on the following data (also in dataset BabyLamb). Use the block structure from part (a). Weight Gain (lbs.) (1) 17.23 a 15.69 b 17.56 c 22.99 d 31.76 |ab 21.24 ac 17.2 Jad 20.92 bc 8.3 bd 16.87 cd 3.7 abc 26.61 abd 35.19 acd 6.19bcd 5.69 abcd 6.86 280 6 Confounding in Blocks (d) Write out the 1 df contrast that gives the A effect. Is it unbiased under your model? Give an estimate of the standard error of the contrast.