Solve the total sum of squares (SST). In this equation, all observation groups from treatment 1 to 3 will be combined as one whole sample. All Observations will then be added and divided into the number of Observations to get the mean. The formula flow for solving the sum of squares is below: x̅ (x- x̅) (x- x̅)2 sum(x- x̅)2 Where x̅ = Mean, X = Observations. (Note: Sum of squares within treatment =  Total sum of squares for treatment 1 + Total sum of squares for treatment 2 + Total sum of squares for treatment 3 20.66666667(T1) + 0.6666666667(T2) + 8.666666667(T3) = 30 Therefore, sum of squares within treatment = 30)

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1. Solve the total sum of squares (SST). In this equation, all observation groups from treatment 1 to 3 will be combined as one whole sample. All Observations will then be added and divided into the number of Observations to get the mean. The formula flow for solving the sum of squares is below:

(x- x̅)

(x- x̅)2 sum(x- x̅)2

Where x̅ = Mean, X = Observations.

(Note: Sum of squares within treatment =  Total sum of squares for treatment 1 + Total sum of squares for treatment 2 + Total sum of squares for treatment 3

20.66666667(T1) + 0.6666666667(T2) + 8.666666667(T3) = 30

Therefore, sum of squares within treatment = 30)

Sum of the squares of
each deviation
Deviation
Square of each
Deviation (x- X)
Treatment
Mean x
(x-X)
Trial 1 6
Trial 2 7
Trial 3 1 4.666666667 -3.666666667
1.333333333
1.777777777
2.333333333
5.444444443
13.44444445
20.66666667
Total 14
-1x10+
Square of each
Deviation (x- X)
Treatment
Deviation
Sum of the squares of
Mean x
2
(x- X)
each deviation
Trial 1
5
0.333333333
0.111111109
Trial 2 4
-0.666666667
0.4444444449
Trial 3 5 4.666666667 0.333333333
0.1111111109
0.6666666667
Total 14
-1x10*
Sum of the squares of
Square of each
Deviation (x-X)
Treatment
Deviation
Mean x
(x- X)
each deviation
Trial 1
3
-1.666666667
2.777777779
Trial 2
-0.666666667
0.4444444449
Trial 3 7 4.666666667 2.333333333
5.444444443
8.666666667
Total
14
-1x10
Transcribed Image Text:Sum of the squares of each deviation Deviation Square of each Deviation (x- X) Treatment Mean x (x-X) Trial 1 6 Trial 2 7 Trial 3 1 4.666666667 -3.666666667 1.333333333 1.777777777 2.333333333 5.444444443 13.44444445 20.66666667 Total 14 -1x10+ Square of each Deviation (x- X) Treatment Deviation Sum of the squares of Mean x 2 (x- X) each deviation Trial 1 5 0.333333333 0.111111109 Trial 2 4 -0.666666667 0.4444444449 Trial 3 5 4.666666667 0.333333333 0.1111111109 0.6666666667 Total 14 -1x10* Sum of the squares of Square of each Deviation (x-X) Treatment Deviation Mean x (x- X) each deviation Trial 1 3 -1.666666667 2.777777779 Trial 2 -0.666666667 0.4444444449 Trial 3 7 4.666666667 2.333333333 5.444444443 8.666666667 Total 14 -1x10
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