Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
Sum of Squares
Sum of Squares
SST = 10.7²
SST = 10.7²
2
+ 10.82
+ 10.82
2
+ ... + 12.2²
+ ... + 12.2²
2
-
-
(606.4)²
(606.4)²
2
= 6872.84 -
= 6872.84 -
6809.65 = 63.19
6809.65 = 63.19
54
54
= 6823.63 -
= 6823.63 -
6809.65 = 13.98
6809.65 = 13.98
SSA = 199.92
SSA = 199.92
2
+ 192.22
+ 192.22
2
+ 214.3
+ 214.32
2
-
-
( 606.4)2
( 606.4)2
606.4)2
2
54
54
18
18
= 6810.83 -
= 6810.83 -
6809.65 = 1.18
6809.65 = 1.18
SSC = 307.2²
SSC = 307.2²
2
+ 299.2² -
+ 299.2² -
2
-
(606.4)²
(606.4)²
2
54
54
27
27
= 6819.83 -
= 6819.83 -
-
6809.65 = 10.18
6809.65 = 10.18
SSB = 211.3²
SSB = 211.3²
2
+ 192.22
+ 192.22
2
+ 202.9+ ... + 69.3²²
+ 202.92
2
-
-
(606.4)²
(606.4)²
2
54
54
18
18
SS(AB) = 67.3²
SS(AB) = 67.3²
2
+ 66.7²
+ 66.7²
2
+ ... + 69.3²²
2²
6
6
= 4.78
= 4.78
-
-
6823.63 -
6823.63 -
-
6819.83 + (606.4)2
6819.83 + (606.4)2
(606.4)2
2
54
54
SS(AC) = 98.6
SS(AC) = 98.62
2
+ 97.7²3
+ 97.7²3
2
+ ... + 103.4²
+ ... + 103.4²
2
9
9
-
-
6823.63 -
6823.63 -
-
6810.83 + (606.4)2
6810.83 + (606.4)2
(606.4)2
2
= 2.92
= 2.92
54
54
SS(BC) = 109.7²
SS(BC) = 109.7²
2
+ 97.7²
+ 97.7²
2
+ ... + 103.1²
+ ... + 103.1²
2
9
9
-
-
6819.83 -
6819.83 -
-
6810.83 + (606.4)2
6810.83 + (606.4)2
(606.4)2
2
= 3.64
= 3.64
54
54
-
-
6838.59 -
6838.59 -
-
6827.73 -
6827.73 -
-
6824.65
6824.65
SS(ABC) = 32.82
SS(ABC) = 32.82
2
+ 34.72
+ 34.72
2
+ ... + 35.72
+ ... + 35.72
2
3
+ 6823.63 + 6819.83 + 6810.83 -
+ 6823.63 + 6819.83 + 6810.83 -
(606.4)²
(606.4)²
2
= 4.89
= 4.89
54
54
SSE = 63.19 -
SSE = 63.19 -
-
13.98 -
13.98 -
-
10.18 -
10.18 -
-
1.18 -
1.18 -
-
4.78 -
4.78 -
-
2.92 -
2.92 -
-
3.64
3.64
-
-
4.89 = 21.62
4.89 = 21.62
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