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∑ x2 = 20
∑ x3 = 24
∑ G.T = 54
∑ (xi) )2 = 234
n1=5
n2=5
n3=5
ntotal=15
k=3
1. C.F. = ( Grand total ) 2 divide the total number of observations:
C.F. = ( ∑ G.T ) 2 ÷ n total
C.F. = (54)2 ÷ 15 = 2916 ÷15 = 194.4
C.F. = 194.4
2. Determine the total Sum Squares:
SS total = ∑ (xi)2 - C.F.
SS total = 234 - 194.4
SS total = 39.6
3. Compute the Sum of Squares between the group:
SSBG=∑ (Ti)2 ÷ ni - C.F.
SSBG=∑[ (10)2 ÷ 5 + (20)2 ÷ 5 + (24)2 ÷ 5 ] - 194.4
SSBG= 215.2 - 194.4 = 20.80
SSBG= 20.80
4. Compute for the Sum of Squares within the group:
SSWG=SStotal - SSBG
SSWG= 39.6 - 20.80
SSWG= 18.80
5. Compute for Degrees of Freedom:
For the Between the Groups =
dfBG=K-1
dfBG=3-1=2
dfBG=2
For Within the Groups =
dfWG= n total - k
dfWG= 15 - 3 = 12
dfWG=12
6. Compute the mean squares by using the equation:
MSBG=SSBG ÷ dfBG and MSWG=SSWG ÷ dfWG
MSBG= 20.80 ÷ 2 MSWG=18.80 ÷ 12
MSBG=10.40 MSWG=1.57
7. Compute for F-value by using the equation:
F-value = MSBG ÷ MSWG
F-value = 10.40 ÷ 1.57
F-value = 6.62
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