ANOVA ANOVA -height genotype Residuals ANCOVA ANCOVA-yield genotype height Residuals Sum of Squares 14.6 67.2 Sum of Squares 1167.6 60.5 89.9 df 2 27 df 2 1 26 Mean Square 7.28 2.49 Mean Square 583.82 60.52 3.46 F 2.93 F 168.8 17.5 P 0.071 <.001 <.001
An experiment was conducted to compare the yield of three plant genotypes. The height of plants was also recorded to serve as concomitant variable.
1. Determine if each of the statemen is true or false regarding to test of linear dependence between height and genotype at a=0.05
a. There is sufficient evidence that at least one genotype has a different mean plant height.
b. It was found that the height and genotype of the plants are independent.
2. Determine if each of the statemen is true or false regarding to test of the linear dependence of yield on height at a=0.05.
a. Plant height is not an effective concomitant variable for the experiment.
b. There is sufficient evidence that plant yield is linearly dependent on height.
3. Assuming that assumptions of ANCAOVA were satisfied, determine if each statement is true or falsewith regards to test of significnace of genotype effects using ANACAOVA a=0.05
a. There is sufficient evidence that at least one genotype has a different mean plant yield.
b.
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