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. 2024 Mar 1;14:5113. doi: 10.1038/s41598-024-53502-5

Table 4.

Analysis of variance (ANOVA) of Box–Behnken results.

Source Sum of squares df Mean square F-value p Value Prob > F
Model 118.4751 26 4.556735 3.128665 0.0064
A-sucrose 0.16245 1 0.16245 0.111539 0.7421
B-peptone 0.025312 1 0.025312 0.01738 0.8965
C-yeast extract 0.0147 1 0.0147 0.010093 0.9210
D-pH 0.68445 1 0.68445 0.469945 0.5013
E-incubation temperature 17.78768 1 17.78768 12.21306 0.0024
AB 0.0676 1 0.0676 0.046414 0.8317
AC 0.0841 1 0.0841 0.057743 0.8127
AE 0.664225 1 0.664225 0.456058 0.5076
BC 5.0176 1 5.0176 3.445096 0.0790
BD 0.731025 1 0.731025 0.501923 0.4873
BE 1.5876 1 1.5876 1.09005 0.3096
CD 2.89 1 2.89 1.984281 0.1751
DE 3.8809 1 3.8809 2.664635 0.1191
A2 8.800152 1 8.800152 6.042204 0.0237
B2 10.28975 1 10.28975 7.064967 0.0155
C2 1.626206 1 1.626206 1.116557 0.3039
D2 6.367424 1 6.367424 4.371888 0.0502
E2 0.249752 1 0.249752 0.17148 0.6834
A2B 18.3925 1 18.3925 12.62834 0.0021
AC2 4.558817 1 4.558817 3.130094 0.0929
AE2 6.161067 1 6.161067 4.230203 0.0537
B2D 1.401667 1 1.401667 0.962388 0.3389
B2E 4.972969 1 4.972969 3.414452 0.0803
BE2 2.660004 1 2.660004 1.826365 0.1924
CD2 3.5643 1 3.5643 2.447257 0.1342
DE2 3.920417 1 3.920417 2.691767 0.1173
Residual 27.6725 19 1.456447
Lack of fit 21.77301 14 1.555215 1.318094 0.4060
Pure error 5.899483 5 1.179897
Cor total 146.1476 45

Polysaccharide (g/l) =  − 330.5238773 + 4.36071875 * A − 12.31421875 * B + 12.97534722 * C + 46.30814815 * D + 17.24225 * E − 0.20021875 * A * B − 0.0944375 * A * C − 0.208725 * A * E − 0.28 * B * C + 0.824166667 * B * D + 0.94625 * B * E − 2.865555556 * C * D − 2.394666667 * D * E − 0.010620833 * A2 − 1.19625 * B2 − 0.598229167 * C2 − 0.347037037 * D2 − 0.228233333 * E2 + 0.003282813 * A2 * B + 0.01634375 * A * C2 + 0.00304 * A * E2 − 0.120833333 * B2 * D + 0.064375 * B2 * E − 0.019975 * B * E2 + 0.242222222 * C * D2 + 0.032333333 * D * E2.

Where: A: Sucrose; B: Peptone; C: Yeast extract; D: pH; E: Incubation temperature.