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please help 1. Consider a '2'I factorial experiment in which the effects of :1 factors on a response variable are investigated. The 3'2 total experimental

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1. Consider a '2'I factorial experiment in which the effects of :1 factors on a response variable are investigated. The 3'2 total experimental units in this experiment are randome assigned to the 15 treatments groups, with 3 experimental units per group. Below are the samples means of the response variable for the treatment groups in this experiment. Treatment Sample Mean (1} 94.00 a. 31.90 b 51.30 at 110.90 3 79.30 as 101.15 be 70.60 one 99.00 at 59.15 mi S.55 bd 35.30 ebd 79.10 ed 79.?0 ecd 72.40 bed 73.45 embed 91.50 2. This is a continuation of Problem 1. a. Now suppose that you are given the additional information that the experiment from Problem 1 was conducted over two days. The sixteen experimental runs associated with the following treatments were performed on the rst day. [1) cl: cc be ad lad cd' ebcd The 16 experimental runs from the remaining treatments were performed on the second clay. How does this additional information change conclusion from part i. in Problem 1 in terms of which effects are signicant? b. The researchers who performed the experiment from Problem 1 would like to repeat a similar experiment. They will use the same sample size and again conduct the experiment over two days; However, they would like to be able to perform inference on all e'ects (including all interactions] from the data collected from this experiment; Describe a blocking scheme for such an experiment that would allow for inference on all effects

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