able[[,,Planting density],[,,10,000,20,000
Planting density
10,000
20,000
H
10.3,9.4,7.9 12.8,11,13.5 Variety Ife 8.2,8.8,10 12.5,13.7,11.7 P 16,15.1,17.6 16.8,19.1,18.4
Perform a two-way ANOVA to test for significant main and interaction effects. Factor A is the variety of tomato, factor B is the plant density and the interaction refers to their combined effects.
1. The null hypotheses are
H:===0(tomato variety has no effect H:==3=0(plant density has no effect) H3 : 1 = 12 =-.. = 33 = 0 (no interaction between tomato variety and plant density)
2.Complete the following ANOVA table.Round your answers to the sum of squares,mean squares and F-ratios to 4 decimal places and the p-values to 5 decimal places
Sum of squares
Degree of freedom
Source
Mean squares
F-ratio
P-value
Factor A
Factor B
Interaction
Within
Total
3. Include an interaction plot below.Considering the interaction plot and the results of the hypothesis test about the interaction at the a=0.10 level, is it appropriate to continue? Explain below.