Table 5. ANOVA of the surface response model and regression equations for physicochemical properties.
aw | w(moisture)/% | t(complete dissolution)/s | Hygroscopicity/(g/100 g) | ρb/(g/mL) | |||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Factor | Sum of squares | Df | Mean square | F-value | p-value | Sum of squares | Df | Mean square | F-value | p-value | Sum of squares | Df | Mean square | F-value | p-value | Sum of squares | Df | Mean square | F-Value | p-value | Sum of squares | Df | Mean square | F-value | p-value |
Model type | Linear | Cubic | Quadratic | Cubic | Cubic | ||||||||||||||||||||
Model | 0.02 | 2.00 | 0.01 | 28.24 | <0.0001 | 0.633* | 9 | 0.07 | 10.99 | 0.0043* | 10340.73 | 5.00 | 2068.15 | 8.19 | 0.003* | 450.90 | 9 | 50.10 | 20.52 | 0.0008* | 0.025 | 9 | 0.00 | 10.40 | 0.0050* |
Outlet temperature (A) | 0.02 | 1.00 | 0.02 | 55.97 | <0.0001* | 0.221 | 1 | 0.22 | 34.50 | 0.0011* | 6349.52 | 1.00 | 6349.52 | 25.14 | 0.001* | 31.99 | 1 | 31.99 | 13.10 | 0.0111* | 0.008 | 1 | 0.01 | 31.83 | 0.0013* |
Pressure (B) | 0.00 | 1.00 | 0.00 | 0.34 | 0.57 | 0.004* | 1 | 0.00 | 0.65 | 0.45 | 966.34 | 1.00 | 966.34 | 3.83 | 0.08 | 54.80 | 1 | 54.80 | 22.44 | 0.0032* | 0.002 | 1 | 0.00 | 6.16 | 0.0477* |
AB | 0.006* | 1 | 0.01 | 0.98 | 0.36 | 138.46 | 1.00 | 138.46 | 0.55 | 0.48 | 65.18 | 1 | 65.18 | 26.69 | 0.0021* | 0.000 | 1 | 0.00 | 0.08 | 0.7869 | |||||
A2 | 0.023 | 1 | 0.02 | 3.64 | 0.11 | 2210.65 | 1.00 | 2210.65 | 8.75 | 0.014* | 45.37 | 1 | 45.37 | 18.58 | 0.005* | 0.007 | 1 | 0.01 | 25.94 | 0.0022* | |||||
B2 | 0.009* | 1 | 0.01 | 1.40 | 0.28 | 134.06 | 1.00 | 134.06 | 0.53 | 0.48 | 47.11 | 1 | 47.11 | 19.29 | 0.0046* | 0.001 | 1 | 0.00 | 3.19 | 0.1242 | |||||
A2B | 0.002* | 1 | 0.00 | 0.28 | 0.62 | 4.02 | 1 | 4.02 | 1.64 | 0.25 | 0.006 | 1 | 0.01 | 20.74 | 0.0039* | ||||||||||
AB2 | 0.008* | 1 | 0.01 | 1.30 | 0.30 | 206.60 | 1 | 206.60 | 84.60 | <0.0001* | 0.000 | 1 | 0.00 | 0.04 | 0.85 | ||||||||||
A3 | 0.123 | 1 | 0.12 | 19.16 | 0.0047* | 15.38 | 1 | 15.38 | 6.30 | 0.046* | 0.007 | 1 | 0.01 | 26.01 | 0.0022* | ||||||||||
B3 | 0.013* | 1 | 0.01 | 2.09 | 0.20 | 58.77 | 1 | 58.77 | 24.07 | 0.0027* | 0.004 | 1 | 0.00 | 13.93 | 0.0097* | ||||||||||
Residual | 0.00 | 13.00 | 0.00 | 0.038 | 6 | 0.01 | 2526.07 | 10.00 | 252.61 | 14.65 | 6 | 2.44 | 0.002 | 6 | 0.00 | ||||||||||
Lack of fit | 0.00 | 8.00 | 0.00 | 1.22 | 0.43 | 0.00 | 1.00 | 0.00 | 0.10 | 0.77 | 1.988.670 | 5.00 | 397.73 | 3.70 | 0.09 | 2.69 | 1 | 2.69 | 1.12 | 0.34 | 0.000 | 1 | 0.00 | 0.83 | 0.41 |
Pure error | 0.00 | 5.00 | 0.00 | 0.04 | 5.00 | 0.01 | 537.40 | 5.00 | 107.48 | 11.97 | 5 | 2.39 | 0.001 | 5 | 0.00 | ||||||||||
Corr. total | 0.02 | 15.00 | 0.67 | 15.00 | 12866.80 | 15 | 465.55 | 15 | 0.027 | 15 | |||||||||||||||
R2 | 0.81 | 0.94 | 0.80 | 0.97 | 0.94 | ||||||||||||||||||||
Final equation in terms of coded factors | aw=0.137–0.044A | w(moisture)=0.646–0.843A+0.664A3 | t(complete dissolution)=131.55828.022A–26.795A2 | Hygroscopicity=33.372+10.144A–14.666B–5.189AB+5.466A2+4.952B2–14.186AB2–7.435A3+18.632B3 | ρb=0.327–0.165A+0.080B–0.067A2+0.089A2B+0.158A3–0.148B3 |