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. 2023 Apr 6;9(4):e15065. doi: 10.1016/j.heliyon.2023.e15065

Table 1.

Matrix of actual and coded factors of the CCCFCD. Responses values of the 2^3 factorial design extended to face-centered cube central composite design: fermentative yield (Y2) and bean quality (Y4); three repetitions, 48 experimental runs.




Actual and coded factors









A:MEF density
B:Exposure time
C:Inoculum concentration
Responses values
runs (mT) (min) % (v/v) Y21 Y21 Y21 Y41 Y41 Y41
ffactorialpoints LDR F1 5 (−1) 15 (−1) 0.5 (−1) 87.94 80.43 79.58 111.27 101.07 113.23
F2 5 (−1) 30 (+1) 0.5 (−1) 92.46 91.84 91.13 101.62 110.38 106.25
F3 5 (−1) 15 (−1) 2.5 (+1) 95.66 93.02 88.66 102.25 97.62 92.29
F4 5 (−1) 30 (+1) 2.5 (+1) 100.21 112.01 107.25 67.86 62.45 65.25
HDR F5 80 (+1) 15 (−1) 0,5 (−1) 77.49 82.06 89.65 60.61 67.71 60.10
F6 80 (+1) 30 (+1) 0.5 (−1) 80.93 76.45 80.78 69.26 59.26 60.92
F7 80 (+1) 15 (−1) 2.5 (+1) 80.92 76.92 82.96 58.20 48.40 50.05
F8 80 (+1) 30 (+1) 2.5 (+1) 78.12 72.44 70.56 60.86 57.70 51.31
central point F9* 42.5* (0) 22.5* (0) 1.5* (0) 112.47 109.40 113.43 88.47 83.34 89.49
axial points IDR A10 5 (−1) 22.5 (0) 1.5 (0) 120.82 120.70 115.01 105.75 10.62 109.13
A11 80 (+1) 22.5 (0) 1.5 (0) 104.05 10.26 102.15 54.27 67.96 69.53
A12 42.5 (0) 22.5 (0) 2.5 (+1) 125.46 120.59 117.04 67.86 62.45 65.25
A13 42.5 (0) 22.5 (0) 0.5 (−1) 117.12 114.48 115.59 79.86 68.80 77.07
A14 42.5 (0) 30 (+1) 1.5 (0) 122.18 116.16 124.53 59.10 75.14 62.80
A15 42.5 (0) 15 (−1) 1.5 (0) 119.16 119.78 116.41 57.36 65.44 79.35
A16 42.5* (0) 22.5* (0) 1.5* (0) 118.69 124.37 122.05 79.62 78.15 75.71

Replicas (3) runs (48) blocks (2) center points* (6) factorial points (24) and axial points (18). F: factorial points. A: axial points.