Fig 1.
Response surface methodology overview.
Fig 2.
Scatter plot of the yield stress and plastic viscosity response with the input variables.
Fig 3.
Distribution histograms for inputs (in blue) and outputs (in green).
Table 1.
Statistical analysis of collected database.
Table 2.
Pearson correlation matrix.
Table 3.
RSM build information.
Table 4.
RSM factors for the studied parameters.
Table 5.
Fit summary of the plastic viscosity model.
Table 6.
Sequential model sum of squares [Type I] for the plastic viscosity.
Table 7.
ANOVA for quadratic model for the plastic viscosity.
Table 8.
Fit statistics.
Table 9.
Coefficients in terms of actual factors.
Fig 4.
Color points by value of plastic viscosity for normal plot of residuals.
Fig 5.
Lambda value of plastic viscosity for Box-Cox plot.
Fig 6.
Color points by value of plastic viscosity for predicted vs actual values.
Fig 7.
Color points by value of plastic viscosity for residuals vs predicted values.
Fig 8.
Color points by value of plastic viscosity for residuals vs run.
Fig 9.
Color points by value of plastic viscosity for residuals vs cement.
Fig 10.
Color points by value of plastic viscosity for Cook’s distance.
Fig 11.
Color points by value of plastic viscosity for leverage vs run.
Fig 12.
Color points by value of plastic viscosity for DFFITS vs run.
Fig 13.
Color points by value of plastic viscosity for intercept vs run.
Fig 14.
Optimized plastic viscosity desirability behavior w.r.t. independent factors.
Fig 15.
Optimized plastic viscosity actual factor coding contour behavior.
Fig 16.
Optimized plastic viscosity 3D surface w.r.t. water and cement.
Fig 17.
Optimized plastic viscosity based on factor perturbation.
Fig 18.
Optimized plastic viscosity w.r.t. water and cement interaction.
Table 10.
Constraints of the RSM model for the plastic viscosity.
Table 11.
Fit Summary of the yield stress model.
Table 12.
Sequential model sum of squares [Type I] yield stress.
Table 13.
RSM model summary statistics.
Table 14.
ANOVA for quadratic model for the yield stress.
Table 15.
Fit statistics.
Table 16.
Coefficients in terms of actual factors.
Fig 19.
Color points by value of yield stress for normal plot of residuals.
Fig 20.
Lambda points by value of yield stress for Box-Cox plot for power transforms.
Fig 21.
Color points by value of yield stress for residuals vs predicted values.
Fig 22.
Color points by value of yield stress for residuals vs run.
Fig 23.
Color points by value of yield stress for residuals vs cement.
Fig 24.
Color points by value of yield stress for Cook’s distance.
Fig 25.
Color points by value of yield stress for leverage vs run.
Fig 26.
Color points by value of yield stress for DFFITS vs run.
Fig 27.
Color points by value of yield stress for intercept vs run.
Fig 28.
The desirability optimization of the yield stress w.r.t. the independent factors.
Fig 29.
Optimized yield stress perturbation.
Fig 30.
Factor coding interaction for yield stress w.r.t. water and cement.
Fig 31.
Optimized yield stress factor coding contour behavior.
Fig 32.
Optimized yield stress 3D surface behavior.
Table 17.
Yield stress model constraints.
Table 18.
Optimized solution from 100 solutions found.