## 3 Results and Discussion
### Stability of ACM-Stabilized Soya Milk Emulsions
Also, to better understand the stability kinetics of ACM-stabilized soya milk emulsions, an evaluation of differences in BS flux % within the 20-40 mm range over time was conducted using one-way ANOVA as depicted in Table 2. The selected data points on BS flux % within the 20-40 mm range over time was compared with particle size to decipher the best-fit predictor of stability in ACM-stabilized soya milk emulsions. The effect of ACM on the stability of soya milk emulsions using one-way ANOVA on initial BS flux (%), and D\({}_{(3,2)}\) (nm) is presented in Table 2. The goodness-of-fit was assessed using the coefficient  
Figure 7: Instability in homogenized soya milk and Milli Q Water for (**a**) 10 mL. (**b**) 30 mL (**c**) 50 mL and (**d**) 75 mL (_w/w_) soya milk emulsions. of determination (R\({}^{2}\)) to establish which effect was more significant in the response to stability between particle size and BS flux %. One-way ANOVA subsequent to [PERSON]'s multiple comparisons (BMC) test was performed using GraphPad Prism version 5.00 for Windows to evaluate whether the initial BS flux (%) or the D\({}_{(3,2)}\) as a function of particle size (nm) better explained the stability characteristics of the ACM soya milk stabilized emulsions. A significant difference (\(p<0.05\)) was established on all three ACM soya milk stabilized emulsions with respect to BS flux % and particle size at pH range 7.85-7.95. The F statistic of BS flux % was 5078 while the F statistic of particle size was 27. The result implied that the means in both responses i.e., BS flux % and particle size significantly responded to concentrations of ACM but the response of BS flux % was more significant than that of particle size as a function of Sauter mean diameter. This establishes that we can reject the null hypothesis that ACM concentrations would not affect or enhance the stability of ACM soya milk emulsions. The adjusted \(p\)-value was calculated for both responses to establish the most significant response. The adjusted \(p\)-value obtained for BS flux % using the BMC test was \(<\)0.0001 for all ACM concentrations (1, 3 and 5 g _w/w_). However, the adjusted \(p\)-value obtained for particle size using the BMC test was 0.024, \(<\)0.001 and 0.024 respectively for ACM concentrations (1, 3 and 5 g _w/w_). This result showed that the BS flux % was a better response factor in comparison to particle size. A similar trend was followed with the R\({}^{2}\) statistic with the values 0.9994 and 0.9000 for BS flux % and particle size, respectively. The results show that data obtained from BS flux % closely fit the regression line by about 94% while the data for particle size was 90% fit. These results show that data from both the BS flux % and the particle sizes explains the variance of the response around its means. In addition, both responses are good predictors of stability of an emulsion. The result that BS flux % and the particle sizes are good predictors of the stability of an emulsion is consistent with the results obtained by other authors [40; 46]. However, although both responses are good predictors of the stability of an emulsion, the BS flux % response with adjusted \(p\)-value \(<\) 0.0001, F statistic of 5078, and R\({}^{2}\) statistic 0.9994 better explains the stability characteristics of the ACM soya milk stabilized emulsion.