Question

Q1. Suppose you have the following:

Treatment = 3

Observations per each treatment = 10

Total SS = 350

SST = 250

(1) Complete the ANOVA table:

S.O.V	d.f	SS	MS	Cal. F
Treatments		250
Error
Total		350

(2) If tabulated (critical) F = 3.35, is there any significant difference based on calculated F?

-Show work please!-

Answer 1

(1)

S.O.V.	d.f	SS	MS	Cal F
Treatments	2	250	125	33.75
Error	27	100	3.703704
Total	29	350

SS Error = SS Total - SS Treatments = 350 - 250 = 100

df Treatments = Number of Treatment - 1 = 3 - 1 = 2

df Error = Number of Observations - Number of Treatment = 3 * 10 - 3 = 27

df Total =  Number of Observations - 1 = 3 * 10 - 1 = 29

MS Treatments = SS Treatments / df Treatments = 250 / 2 = 125

MS Error = SS Error / df Error = 100 / 27 = 3.703704

Cal F = MS Treatments / MS Error = 125 / 3.703704 = 33.75

(2)

Since the Cal F is greater than the (critical) F,  there is significant difference based on calculated F.