An experiment was run to assess the impact of two types of fertilizer (1 and 2) and three types of soil (1, 2, and 3) on

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An Experiment Was Run To Assess The Impact Of Two Types Of Fertilizer 1 And 2 And Three Types Of Soil 1 2 And 3 On 1 (110.2 KiB) Viewed 29 times

An experiment was run to assess the impact of two types of fertilizer (1 and 2) and three types of soil (1, 2, and 3) on corn yield. Four plots were assigned to each of the six treatments, and the mean yield for each treatment was as tabled below. Soil Type 1 55 45 Fertilizer Type 1 Fertilizer Type 2 Soil Type 2 Soil Type 3 65 75 80 70 a) Fitting an effects model with interaction gives MSE=100. Using an appropriate contrast, test at level 0.05 for the presence of an interaction involving soil types 1 and 2 and fertilizer types 1 and 2. b) Assuming an effects model with interaction, determine whether each expression is estimable or not. Here aand a 2 are main effects for fertilizer type, and Yu1 and Y22 are interaction effects. Justify your answers. (i) a1 - a2 (ii) a - a2 + Y11 - Y22