## 3 Results
### Long-Term Stability Analysis of the Selected Formulation for Volunteer Testing
\begin{table}
\begin{tabular}{c c c c c} \hline \hline  & **Placebo** & **Extract** & **CR** & **Statistically** \\  & **n = 15** & **n = 15** & **n = 15** & **Significant** \\ \hline  & & Measurement 1–parameter R2 & & \\ Average \(\pm\) SD & a 70.53 \(\pm\) 6.49 & a 71.41 \(\pm\) 7.24 & a 71.93 \(\pm\) 9.07 & No \\ \hline  & & Measurement 2–parameter R2 & & \\ Average \(\pm\) SD & b 73.02 \(\pm\) 5.33 & b 74.22 \(\pm\) 7.17 & b 72.76 \(\pm\) 4.75 & No \\ \(\Delta\)\% & +3.53 & +3.93 & +1.15 & \\ \hline  & & Measurement 3–parameter R2 & & \\ Average \(\pm\) SD & c 75.90 \(\pm\) 3.37 & c 77.76 \(\pm\) 5.63 & c 75.18 \(\pm\) 5.28 & No \\ \(\Delta\)\% & +7.61 & +8.89 & +4.52 & & \\ \hline  & & Measurement 4–parameter R2 & & \\ Average \(\pm\) SD & d 76.53 \(\pm\) 3.4 1 & d 80.91 \(\pm\) 5.07 2 & d 76.52 \(\pm\) 5.01 3 & df(2.42), F = 4.35 & \\  & & & 1,2 0.04 & \\ \(\Delta\)\% & +8.5 & +13.3 & +6.38 & 2,3 0.04 \\ \hline \(p\)–value & a.c 0.04 & a.c 0.005 & & \\ within the group & a.d 0.01 & a.d 0.0002 & & \\ \hline  & & Measurement & & \\ Average \(\pm\) SD & a 62.41 \(\pm\) 7.22 & a 61.94 \(\pm\) 7.96 & a 67.17 \(\pm\) 7.12 & No \\ \hline  & & Measurement 2–parameter R5 & & \\ Average \(\pm\) SD & b 63.02 \(\pm\) 8.57 & b 64.28 \(\pm\) 5.76 & b 63.38 \(\pm\) 6.47 & No \\ \(\Delta\)\% & +1.76 & +3.78 & \(-\)5.66 & \\ \hline  & & Measurement 3–parameter R5 & & \\ Average \(\pm\) SD & c 60.54 \(\pm\) 8.281 & c 67.34 \(\pm\) 8.13 2 & c 65.57 \(\pm\) 5.47 3 & df(2.42), F = 3.34 & \\ \(\Delta\)\% & \(-\)3.01 & +8.71 & \(-\)2.39 & & \\ \hline  & & Measurement 4–parameter R5 & & \\ Average \(\pm\) SD & d 63.86 \(\pm\) 8.37 & d 69.58 \(\pm\) 6.86 & d 69.74 \(\pm\) 7.32 & No \\ \(\Delta\)\% & +2.32 & +12.33 & +3.82 & & \\ \hline \(p\)–value & & a.d 0.008 & b.d 0.01 & \\ within the group & & & \\ \hline \hline \end{tabular} a—measurement 1, b—measurement 2, c—measurement 3, d—measurement 4; 1 Placebo, 2 Extract, 3 CR; df—degrees of freedom, F (F-ratio, F-value)—the test statistic in ANOVA.  
\end{table} 
Table 6: Characteristics of the groups in terms of skin elasticity parameter R2 and R5. ment only after 12 weeks by (+3.52%). Between-group comparisons revealed that skin hydration in the extract group was significantly higher than in the placebo group after 12 weeks. However, no statistically significant differences were found between the CR group and the reference cream group at any time point. Figure 1: Characteristics of the Placebo group, Extract group, and CR—reference group in measure 1—M1, measure 2—M2, measure 3—M3, and measure 4—M4 for the Melanin Index (MI). Figure 2: Characteristics of the Placebo group, Extract group, and CR—reference group in measure 1—M1, measure 2—M2, measure 3—M3, and measure 4—M4 for the Erythema Index. The study of skin elasticity parameters provides valuable insights into age-related changes and allows for the assessment of cosmetic product efficacy [27; 28]. The most commonly used device for measuring skin elasticity is the Coutometer(r) probe [29]. This device measures eight parameters related to skin elasticity, including R0 (stretch/firmness), R1/R4 (recovery capacity), R2 (overall skin elasticity), R5 (net elasticity), R6 (viscoelasticity), R7 (ratio of elastic recovery to total strain), and R8 (total relaxation after pressure) [30]. Skin elasticity was measured using the Coutometer(r) Dual MPA 580 probe. The two most characteristic parameters (R2 and R5) were selected to analyze the effectiveness of the cream with micellar extract of common bean (_P. vulgaris_) sprouts. Elasticity parameters (R2 and R5) were analyzed using repeated-measures ANOVA, followed by [PERSON]'s HSD for within-group comparisons. Between-group differences were evaluated using ANOVA with [PERSON]'s post hoc test. A _p_-value of <0.05 was considered statistically significant. The parameters R2 and R5 reflect the skin's total elasticity and the ability to return to its original state after deformation, respectively.