## 3 Results and Discussions  
### Experimentation and Statistical Analysis  
It was decided to use the boundary conditions and configuration parameters applied in the validation of the system through the bending and compression tests with the difference that 17 experimental runs would be carried out for each test mode, each with a different configuration with respect to the angle of the bolts based on DOE \(2^{6-2}\). To homogenize the results, 316L stainless steel was assigned as the manufacturing material for the fixing elements. Each run implied a different design of the PHILOS plate, so the 17 models of the blocking plates were modeled in SolidWorks(r) program, and later, the assemblies and meshes were readapted to the new conditions of each particular configuration. The lengths of the screws were also adjusted according to each assembly, always seeking to use the longest screws for each hole, avoiding their penetration through the bone; the lengths used were 25, 30 and 35 mm. After carrying out the 34 experimental runs (17 for each test) using the maximum displacement values of the two-part fracture, the interfragmentary deformation was calculated. To calculate the interfragmentary deformation of each test, the maximum displacement of the fracture was taken as reference, divided by the original fracture gap and converted to a percentage by multiplying the value obtained by 100. The experimental runs achieved a coefficient of determination (R\({}^{2}\)) of 97.46% and 96.37% for the bending and compression tests, respectively, while the assumptions of the statistical model (normality, constant variance and independence) were fulfilled. Both tests exhibited similar significance patterns: Ey (\(p\) = 0.000), Cx (\(p\) = 0.001) and Cy (\(p\) = 0.001) for flexion and Ay (\(p\) = 0.000), Ey (\(p\) = 0.000) and Cx (\(p\) = 0.002) for compression. According to the results of the experimentation, it was determined that the configuration of the insertion angles that would present the least interfragmentary deformation in both loading conditions was Ax: \(-5^{\circ}\), Ay: \(-5^{\circ}\), Cx: \(-5^{\circ}\), Cy: \(-5^{\circ}\), Ex: \(0^{\circ}\) and Ey: \(-5^{\circ}\). The suggested optimum level for the factor was used as the new central reference point in the matrix system for the angle of insertion. Additionally, a new design of experiments was created considering only the axis of greatest significance for each screw pair, according to the previously obtained results: Ay, Cx and Ey. Due to the reduction of the DOE factors, it was possible to carry out a complete design, specifically a \(2^{3}\) factorial design, composed of eight experimental runs and a central point. The new DOE required nine new models of the PHILOS plate. Finally, the same procedures were carried out as for the design of the previous 17 plates. Once all 18 experimental tests were completed, 95.73% and 96.84% of R\({}^{2}\) were obtained for the bending and compression tests, respectively. In both loading modes, the significance of Ey was imminent, \(p\) = 0.001 in bending and compression, with Cx and Ay ceasing to be significant factors. The Pareto diagram of effects for tests exhibited these results as shownon Figure 6. Therefore, the new configuration that presented the least interfragmentary deformation based on the new reference points was: Ay: \(-5^{\circ}\), Cx: \(-5^{\circ}\) and Ey: \(-5^{\circ}\). Thus, the global optimum configuration up to this point would be Ax: \(-5^{\circ}\), Ay: \(-10^{\circ}\), Cx: \(-10^{\circ}\), Cy: \(-5^{\circ}\), Ex: \(-0^{\circ}\) and Ey: \(-10^{\circ}\). Finally, a new series of experimental runs was carried out based on the new optimal configuration, considering only the Ey factor given its statistical significance. The new experimentation would have three experimental runs only, the known levels \(-5^{\circ}\) and \(5^{\circ}\) and the central point. The values of interfragmentary deformation (\(\epsilon\)) collected coincided again in the configuration with a lower percentage of deformation than DOE 23.