Question: what is correct answer and why. Thank you! 3. In a CRD with a quantitative factor Fi at 4 levels and a qualitative factor F2

what is correct answer and why. Thank you!

3. In a CRD with a quantitative factor Fi at 4 levels and a qualitative factor F2 at 2 levels, the researcher wants to know if there is a linear trend in the mean responses across the levels of F1. The AOV table reveals a non-significant Fi * F2 interaction. Which of the following contrasts would address this question? A. L = #1 + /21 + /31 + Hai - #12 - #22 - #32 - #42 B. L = 11 - #21 - #31 + Hai - #12 + #22 + #32 - #42 C. L = 301 + #21 - #31 -3/141 -3/412 -1422 + 132 + 3/142 D. L = -3/411 -#21 + #31 + 3/41 - 3/12 -#22 + #32 + 3/42 E. none of the above 4. In a CRD with a qualitative factor A at 2 levels and a quantitative factor B at 3 levels, the researcher wants to know if the quadratic trend in the mean responses across the levels of factor B differ for the two levels of factor (A). Which of the following contrasts would address this question? A. L = /31 - 2/132 + #33 + /21 - 2/422 + /423 B. L = #11 - 2/412 + #13 - #21 + 2/422 - #423 C. L = /11 - #12 - #13 - #21 + /22 + #23 D. L = #11 - /13 - /21 + /423 E. None of the above would appropriate because Factor A has only 2 levels. 6

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