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A home gardener wanted to determine which combination of plant seeds and fertilizer would produce the best tomatoes. She planted 3 different tomato seeds and used 5 different types of fertilizer for each type of seed (15 combinations of seed and fertilizer total). She created a source table for the results of her ANOVA but unfortunately spilled coffee on it and blurred some of the cells.
Source
SS
df
MS
F
Seed
512.867
2
28.283
Fertilizer
449.467
4
112.367
Seed*Fertilizer
143.133
17.892
1.973
Within
136.000
9.067
Total
29
a) Fill in the missing cells.
b) Which of the F statistics are significant? Be sure to give the critical F value(s) you used to determine this.
c) What is the effect size for the main effect of fertilizer type? What size effect is this?
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