## 3 Results
### Analysis of Variance  
The results of the analysis of variance are presented in the following two tables. For the control group (Table 3), there were no significant changes in the final measurement compared to the initial measurement for the variables: skinfold of the arm (d = 0.28, \(p>0.1\)), muscle percentage (d = 0.13, \(p>0.1\)), triglycerides (d = 0.43, \(p>0.1\)), and HDL (d = 0.10, \(p>0.1\)). The skinfold of the thigh (d = 0.5, \(p<0.1\)) and LDL (d = 0.63, \(p=0.05\)) increased significantly at the 10% error probability level, and the skinfold of the abdomen (d = 0.62, \(p<0.05\)) and cholesterol (d = 0.60, \(p<0.05\)) at the 5% error probability level. Therefore, the effect of the control group's condition on the thigh and abdominal skinfolds, LDL, and cholesterol is moderate. For all other variables, the participants in the control group showed statistically significant increases (strong effects of the control group's condition) in the final measurement compared to the initial one (d \(\geq\) 0.89, \(p<0.01\)). It should be noted that the effect of the control group's condition was opposite to the desired one (there was a deterioration in body characteristics). For all experimental groups, there was an improvement in body characteristics, i.e., a statistically significant desired effect, for all variables investigated (d \(\geq\) 1.66, \(p<0.01\)). Therefore, each of the investigated training programs was successful. By comparing [PERSON]'s d, it can be concluded which training program yielded the best results. It was shown that [PERSON]'s d was largest for the mix aerobics group for each of the body characteristic variables, indicating that the effect of this type of training was the greatest and, consequently, provided the best results. The scores for triglycerides, HDL, LDL, and cholesterol also significantly improved (decreased) in all experimental groups, with a very strong effect for each training program. For the first three scores, the best effect was achieved by the kickboxing group, while for cholesterol, the best effect was seen in the step aerobics group. The non-parametric Wilcoxon test confirms the obtained results and conclusions. The results from Table 4, provide us a significant effect of group membership (control, mix aerobics, kickboxing, step aerobics) when controlling for measurement (first or second) occurs for waist circumference with a significance threshold of less than 1% (\(p<0.001\)), for muscle percentage with a significance threshold of 5% (\(p=0.025\)), and for the skinfold of the thigh (\(p=0.098\)) and the skinfold of the abdomen (\(p=0.058\)) with a significance threshold of 10%. This effect explains 17.7% of the variability in waist circumference score, 7.8% in muscle percentage score, 5.4% in the skinfold of the thigh, and 6.3% in the skinfold of the abdomen. For the scores of triglycerides, HDL, LDL, and cholesterol, this effect explains 72.5%, 68.4%, 82.9%, and 90.4% of the variability, respectively. More precise information is provided below using post hoc tests (Table 5). \begin{table}
\begin{tabular}{l l l l l l} \hline \hline
**Variable** & **Group** & \begin{tabular}{l} **Mean of 1 st** \\ **Measurement** \\ \end{tabular}  & \ \begin{tabular}{l} **Mean of 2 nd** \\ **Measurement** \\ \end{tabular}  & \begin{tabular}{l} **d** \\ **d** \\ \end{tabular}  \\ \hline \multirow{4}{*}{BW} & K & 75.82 \(  
The effect of measurement, i.e., the passage of time, when controlling for the impact of training is statistically significant with a significance threshold of 1% (\(p\leq 0.006<0.01\)) for body weight, waist circumference, muscle percentage, and abdominal skinfold, and with a significance threshold of 5% for all other variables (\(p\leq 0.045<0.05\)). The effect of time when controlling for the effects of different training programs explains the highest variability for waist circumference (10.8%) and muscle percentage (14.6%). For other body characteristic variables, this percentage is below 10%.