The Response Surface BBD Method was Used to Optimize the Ultrasonic-Assisted Extraction of Anthocyanins from the Fruits of Eleutherococcus brachypus and Its Storage Stability and Antioxidant Properties
Table 1
Box–Behnken design optimization yield of anthocyanins (mg/g) and variance.
No
BBD experiments
ANOVA
X1
X2
X3
Y
Actual value
Predicted value
Source
Sum of squares
Degree of freedom
Mean square
F value
value
1
15
80
200
0.66
0.66 ± 0.06
0.66
Model
2.760
9
0.307
86.39
<0.0001
2
15
75
240
1.61
1.61 ± 0.03
1.65
X1
0.423
1
0.423
119.09
<0.0001
3
20
85
200
0.80
0.80 ± 0.01
0.77
X2
0.738
1
0.738
207.71
<0.0001
4
10
75
200
1.80
1.80 ± 0.11
1.83
X3
0.095
1
0.095
26.62
0.0013
5
10
80
160
1.40
1.40 ± 0.04
1.42
X1 X2
0.016
1
0.016
4.40
0.0742
6
15
80
200
0.66
0.66 ± 0.01
0.66
X1 X3
0.003
1
0.003
0.85
0.3869
7
15
80
200
0.64
0.64 ± 0.01
0.66
X2X3
0.002
1
0.002
0.45
0.5237
8
20
75
200
1.27
1.27 ± 0.03
1.25
X12
0.040
1
0.040
11.26
0.0121
9
10
80
240
1.22
1.22 ± 0.05
1.15
X22
0.970
1
0.970
272.99
<0.0001
10
15
80
200
0.65
0.65 ± 0.07
0.66
X32
0.366
1
0.366
103.11
<0.0001
11
10
85
200
1.08
1.08 ± 0.02
1.10
Residual
0.025
7
0.004
12
15
85
160
1.30
1.30 ± 0.07
1.26
Lack of fit
0.024
3
0.008
22.36
0.0058
13
15
80
200
0.69
0.69 ± 0.01
0.66
Pure error
0.001
4
0.001
14
15
75
160
1.88
1.88 ± 0.15
1.83
Cor total
2.790
16
15
15
85
240
0.95
0.95 ± 0.02
1.00
Credibility analysis of the regression equations
16
20
80
240
0.76
0.76 ± 0.06
0.74
Std.dev
Mean
C.V.%
R2
Adjusted R2
Predicted R2
Adeq precision
17
20
80
160
0.83
0.83 ± 0.10
0.90
0.0596
1.07
5.57
0.9911
0.9796
0.8645
25.6725
X1, ratio of liquid-to-solid (mL/g); X2, ethanol concentration (%); X3, ultrasonic irradiation power (W). Y, yield of anthocyanins (mg/g). , extremely significant.