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?