Question

A 2 x 4 factorial experiment is conducted to compare yields of 4 varieties of soybeans that are planted in rows either 15 inches or 30 inches apart. Two plots of ground are randomly assigned to each combination of soybean variety and row spacing. The yields of soybeans (in bushels per acre) are as follows:

Rows	1	2	3	4
15"	45	46	47	46
	46	46	48	43
30"	35	41	42	39
	32	39	38	41

The partially completed ANOVA table is as follows:

Source	df	SS	MS	F
Total		319.75
Variety		41.25	13.75	5.0
Row spacing		225	225	81.8
Variety x row spacing		31.5
Error		22	2.75

Calculate the mean squares and then the F value for the variety x row spacing interaction.

Group of answer choices

F = 5.29

F = 1.96

F = 3.818

F = 16.36

Answer 1

Interaction degrees of freedom = (4 - 1)*(2 - 1) = 3

So,

MS (Variety x row spacing) = 31.5/3 = 10.5

Hence,

F = 10.5/2.75 = 3.818

Option C is correct.