Table 4 |
||||||
|
ANOVA and Regression Analysis of the Quadratic Model |
||||||
|
Source of variation |
Sum of Squares |
Degrees of freedom |
Mean Square |
F-value |
p-value Prob > F |
Signif |
|
|
||||||
|
Model |
11483.454 |
14 |
820.247 |
10.392 |
0.0044 |
a |
|
X1 |
1.901 |
1 |
1.901 |
0.024 |
0.8818 |
|
|
X2 |
2336.545 |
1 |
2336.545 |
29.603 |
0.0016 |
|
|
X3 |
95.976 |
1 |
95.976 |
1.216 |
0.3124 |
|
|
X4 |
583.453 |
1 |
583.453 |
7.392 |
0.0347 |
|
|
X1 X2 |
138.198 |
1 |
138.198 |
1.751 |
0.2340 |
|
|
X1 X3 |
638.138 |
1 |
638.138 |
8.085 |
0.0294 |
|
|
X1 X4 |
256.492 |
1 |
256.492 |
3.250 |
0.1215 |
|
|
X2 X3 |
7.742 |
1 |
7.742 |
0.098 |
0.7647 |
|
|
X2 X4 |
91.839 |
1 |
91.839 |
1.164 |
0.3222 |
|
|
X3 X4 |
60.006 |
1 |
60.006 |
0.760 |
0.4168 |
|
|
X12 |
1050.075 |
1 |
1050.075 |
13.304 |
0.0107 |
|
|
X22 |
319.292 |
1 |
319.292 |
4.045 |
0.0910 |
|
|
X32 |
1062.246 |
1 |
1062.246 |
13.458 |
0.0105 |
|
|
X42 |
100.796 |
1 |
100.796 |
1.277 |
0.3016 |
|
|
Residuals |
473.577 |
6 |
78.929 |
|||
|
Lack of Fit |
339.721 |
2 |
169.861 |
5.076 |
0.0799 |
b |
|
Pure Error |
133.856 |
4 |
33.464 |
|||
|
Cor Total |
11957.031 |
20 |
||||
|
R-Squared = 0.960 |
||||||
|
|
||||||
|
a: indicates significant at the level of 99% b: indicates insignificant at the level of 99% Estimated standard deviation is equal to Std. Dev. = √473.577/6 = 8.884 |
||||||
|
Sellami et al. BMC Biotechnology 2011 11:68 doi:10.1186/1472-6750-11-68 |
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