Descriptive statistics were performed. The data were not normally distributed (p < 0.05). The intra-observer correlation coefficients of repeated measurements were 0.927, 0.889, 0.913, 0.988, 0.961, and 0.936 for FD0 (fractal dimension), FD1, FD2, FD3, FD4, and crown-implant ratio, respectively. Descriptive data are shown in Figs. 5, 6, and 7. A significant difference was found for sex between the implant survival groups (p = 0.024). There was no significant difference between the implant survival groups for patients’ age, type of implant, jaw of the inserted implant, and FD0 (preoperative fractal dimension values). Moreover, there was no significant difference between the implant survival groups for crown-implant ratios measured after implant loading (p = 0.101). Table 1 shows the distribution and description of FD1 and FD2 values, crown-implant ratios, sex difference between the successful and failed implant survival groups, and power and effect size of the tests. A significant difference was found in the FD1 and FD2 values between the implant survival groups (p < 0.001 and p = 0.023, respectively). The mean FD1 and FD2 values of the success group were significantly higher than those of the failure group. The mean FD values before and after implant insertion and loading showed no significant difference (p > 0.05) (Table 2.). There was no significant correlation between FD3 and FD4 values and crown-implant ratios measured after implant loading (p > 0.05). Furthermore, there was no significant difference in the FD3 and FD4 values between the groups for different types of prosthetic restorations (p > 0.05).