Fill in the blanks A farmer wishes to test the effect of six

Fill in the blanks.

A farmer wishes to test the effect of six different brands of pesticides on the yield of corn harvested this season. The farmer is aware that different areas of his land have different effects on corn growth and suggests partitioning the land into nine sections. Within each section, each of the pesticides are randomly assigned to a subplot of land. At the end of the experiment, the following ANOVA table is constructed.

Solution

A farmer wishes to test the effect of six different brands of pesticides=n =6

partitioning the land into nine sections = r=9

Source

DF

SS

MS

F

P value

Pesticides

n-1=5

65.19

SS/(n-1)=13.038

2.46

0.1237

Land sections

r-1=8

142.2

SS(land sections)/(r-1)=17.775

Residual Error

(r-1)(n-1)=40

212

5.3

Total

(nr-1)=53

419.390

Source	DF	SS	MS	F	P value
Pesticides	n-1=5	65.19	SS/(n-1)=13.038	2.46	0.1237
Land sections	r-1=8	142.2	SS(land sections)/(r-1)=17.775
Residual Error	(r-1)(n-1)=40	212	5.3
Total	(nr-1)=53	419.390