Table 3.
Model term | Coefficient estimate | Computed t value | p value | Confidence level (%) | |
---|---|---|---|---|---|
(a) Model coefficient estimated by regressions | |||||
Intercept | 0.637714 | 184.607 | 0* | 100 | |
Temperature (X1) | 0.008208 | 4.4 | 0* | 100 | |
Medium pH (X2) | −0.021208 | −11.368 | 0* | 100 | |
Shaking (X3) | −0.006125 | −3.283 | 0.005* | 99.5 | |
Inoculum size (X4) | 0.004958 | 2.658 | 0.017* | 98.3 | |
Temperature × temperature | −0.028564 | −16.713 | 0* | 100 | |
pH × pH | −0.007314 | −4.279 | 0.001* | 99.9 | |
Shaking × shaking | 0.008811 | 5.155 | 0* | 100 | |
Inoculum size × inoculum size | −0.002689 | −1.573 | 0.135 | 86.5 | |
Temperature × medium pH (X1 × X2) | 0.003563 | 1.559 | 0.139 | 86.1 | |
Temperature × shaking (X1 × X3) | −0.007438 | −3.255 | 0.005* | 99.5 | |
Temperature × inoculum size (X1 × X4) | 0.005938 | 2.599 | 0.019* | 98.1 | |
Medium pH × shaking (X2 × X3) | 0.001187 | 0.520 | 0.610 | 39 | |
Medium × inoculum size pH (X2 × X4) | 0.000313 | 0.137 | 0.893 | 10.7 | |
Shaking × inoculum size (X3 × X4) | 0.000063 | 0.027 | 0.979 | 2.1 |
Source | DF | SS | MS | F value | p value |
---|---|---|---|---|---|
prob > F | |||||
(b) ANOVA for quadratic model | |||||
Regression | 14 | 0.043830 | 0.003131 | 37.48 | 0 |
Linear | 4 | 0.013903 | 0.003476 | 41.61 | 0 |
Square | 4 | 0.028251 | 0.007063 | 84.55 | 0 |
Interaction | 6 | 0.001676 | 0.000279 | 3.34 | 0.025 |
Residual (error) | 16 | 0.001337 | 0.000084 | ||
Lack of fit | 10 | 0.001133 | 0.000113 | 3.34 | 0.077 |
Pure error | 6 | 0.000203 | 0.000034 | ||
Total | 30 | 0.045167 |
DF degrees of freedom, SS sum of squares, MS mean square
* Significant p values, p ≤ 0.05; R2 = 0.9701; predicted R2 = 0.9422; adjusted R2 = 0.8473