Trial # Independent variable Dependent variable
Feather  (X1) Peptone (X2) Yeast extract (X3) NH4Cl  (X4) Incubation time(X5) Inoculum Size(X6) Casamino acids(X7) K2HPO4 (X8) Soluble proteins  (mg/mL)(Y1) NH2-free amino groups (µmole leucine/mL)(Y2)
Exp.a Pred.b Exp.a Pred.b
1 1 (1.0) -1 (0.0) 1 (0.15) -1 (0.05) -1 (2) -1 (24) 1 (0.2) 1 (0.15) 0.110 0.110 45.2 40.90
2 1 (1.0) 1 (0.1) -1 (0.01) 1 (0.15) -1 (2) -1 (24) -1 (0.0) 1 (0.15) 0.020 0.025 53.3 59.30
3 -1 (0.3) 1 (0.1) 1 (0.15) -1 (0.05 1 (6) -1 (24) -1 (0.0) -1 (0.03) 0.095 0.104 41.9 39.91
4 1 (1.0 ) -1 (0.0) 1 (0.15) 1 (0.15) -1 (2) 1 (48) -1 (0.0) -1 (0.03) 0.128 0.132 82.0 77.54
5 1 (1.0 ) 1 (0.1) -1 (0.01) 1 (0.15) 1 (6) -1 (24) 1 (0.2) -1 (0.03) 0.065 0.060 64.9 59.67
6 1 (1.0) 1 (0.1) 1 (0.15) -1 (0.05 1 (6) 1 (48) -1 (0.0) 1 (0.15) 0.245 0.236 61.8 64.46
7 -1 (0.3) 1 (0.1) 1 (0.15) 1 (0.15) -1 (2) 1 (48) 1 (0.2) -1 (0.03) 0.094 0.090 35.4 39.83
8 -1 (0.3) -1 (0.0) 1 (0.15) 1 (0.15) 1 (6) -1 (24) 1 (0.2) 1 (0.15) 0.032 0.032 41.7 45.26
9 -1 (0.3) -1 (0.0) -1 (0.01) 1 (0.15) 1 (6) 1 (48) -1 (0.0) 1 (0.15) 0.074 0.074 52.9 48.63
10 1 (1.0 ) -1 (0.0) -1 (0.01) -1 (0.05) 1 (6) 1 (48) 1 (0.2) -1 (0.03) 0.176 0.181 40.0 45.32
11 -1 (0.3) 1 (0.1) -1 (0.01) -1 (0.05) -1 (2) 1 (48) 1 (0.2) 1 (0.15) 0.100 0.103 11.0 7.25
12 -1 (0.3) -1 (0.0) -1 (0.01) -1 (0.05) -1 (2) -1 (24) -1 (0.0) -1 (0.03) 0.021 0.012 18.4 20.41
• Values between in brackets are real values of independent variables. • Real values of all independent variables except time and inoculum size are taken in terms of %W/V. • Real values for the independent variable time are 24 hrs and 48 hrs. • Real values for the independent variable inoculum size are taken in terms of %V/V providing that one mL of culture contained 5.0 × 106 CFU/mL. • a: Experimental values b: Predicted values
Table 1: PBD and levels of eight independent variables in terms of coded and real values along with levels of corresponding experimental dependent variables.