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. 2021 Sep 18;21:53. doi: 10.1186/s12896-021-00711-9

Table 4.

The experimental design

Block Run (samples) Space type Composition factors Process factors Abbreviation by minima (m), Maxima (M) and average (a) values
A: Oil B: Starch C: Protein D: Stirring velocity E: Stirring duration
% % % Rpm Min
Block 1 1 Vertex 10 0 0 20,000 5 m, m, m, M, m
Block 1 2 Center 15 0.75 1 15,000 12.5 a, a, a, a, a
Block 1 3 Vertex 20 0 2 10,000 20 M, m, M, m, M
Block 1 4 Vertex 20 0 0 10,000 5 M, m, m, m, m
Block 1 5 Vertex 20 0 2 20,000 5 M, m, M, M, m
Block 1 6 Vertex 20 1.5 0 20,000 5 M, M, m, M, m
Block 1 7 Vertex 10 1.5 2 10,000 5 m, M, M, m, m
Block 1 8 Vertex 10 1.5 0 20,000 20 m, M, m, M, M
Block 2 9 Center 15 0.75 1 15,000 12.5 a, a, a, a, a
Block 2 10 Vertex 10 1.5 2 20,000 5 m, M, M, M, m
Block 2 11 Vertex 20 0 0 20,000 20 M/m/m/M/M
Block 2 12 Vertex 10 0 2 10,000 5 m/m/M/m/m
Block 2 13 Vertex 10 1.5 0 10,000 5 m/M/m/m/m
Block 2 14 Vertex 10 1.5 2 10,000 20 m/M/M/m/M
Block 2 15 Vertex 20 1.5 2 10,000 5 M/M/M/m/m
Block 2 16 Center 15 0.75 1 15,000 12.5 a/a/a/a/a
Block 3 17 Vertex 20 1.5 0 10,000 20 M/M/m/m/M
Block 3 18 Vertex 10 0 2 20,000 20 m/m/M/M/M
Block 3 19 Vertex 10 1.5 0 20,000 5 m/M/m/M/m
Block 3 20 Vertex 20 1.5 0 10,000 5 M/M/m/m/m
Block 3 21 Vertex 20 0 0 20,000 5 M/m/m/M/m
Block 3 22 Vertex 20 0 2 10,000 5 M/m/M/m/m
Block 3 23 Vertex 10 0 0 10,000 20 m/m/m/m/M
Block 3 24 Vertex 20 1.5 2 20,000 20 M/M/M/M/M

Five quantitative factors at 2 levels allowing the Design Expert to generate 21 "matrix" tests and 3 points in the center, all divided into 3 blocks. These 21 "matrix" tests are sufficient to estimate the constant, the two degrees of freedom of the block effect, the 5 1st order coefficients and the 10 2nd order interactions under satisfactory orthogonally conditions (the VIF do not exceed 1.14). This is likely an optimal plan