## 3 Results  
The exploratory case study revealed a positive individual effect on throwing arm strength when examining subject-specific responses, which can be seen in Tables 1-5. Each table represents the performance data associated with each belt condition and the percentage of athletes who had seen performance enhancement with use of the IAP belt. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Player ID**} & **REGB** & \
\begin{tabular}{c} **IAPB** \\ **Avg (MPH)** \\ \end{tabular} &
\begin{tabular}{c} **IAP2** \\ **Avg (MPH)** \\ \end{tabular} \\ \hline
1 & 86.7 & 87.4 & **87.7** \\
2 & **75.7** & 74.7 & 75.5 \\
3 & **79.3** & 78.3 & 78.1 \\
4 & 85.4 & **85.5** & 83.3 \\
5 & 84.3 & 84.1 & **86.1** \\
6 & **81.0** & 80.1 & 80.4 \\
7 & **85.5** & 85.2 & 84.1 \\
8 & 76.7 & **78.6** & 77.1 \\
9 & 81.6 & **81.7** & 80.8 \\
10 & **84.0** & 82.8 & 82.9 \\
11 & 84.0 & 84.1 & **84.5** \\
12 & **84.4** & 83.7 & 82.1 \\
13 & 85.1 & 84.7 & **85.3** \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Subject-specific data indicating fastball velocity differences between belt conditions. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Player ID**} & \begin{tabular}{c} **REGB** \\ **Avg (MPH)** \\ \end{tabular}  & \ \begin{tabular}{c} **IAPB** \\ **Avg (MPH)** \\ \end{tabular}  & \begin{tabular}{c} **IAP2** \\ **Avg (MPH)** \\ \end{tabular}  \\ \hline
1 & **80.8** & 79.5 & 80.6 \\
2 & **69.1** & 67.6 & 69.0 \\
3 & **70.4** & **70.8** & 68.8 \\
4 & 77.3 & 76.7 & 75.2 \\
5 & 73.1 & 74.2 & **74.8** \\
6  
Maximum fastball velocity for each subject in association with each belt condition. Bolded numbers indicate subjects' highest average velocity values across belt conditions. As shown, approximately 54% of subjects indicated greater fastball velocity using an intra \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Player ID**} & **REGB** & **IAPB** & **IAP2** \\  & **Avg (K\%)** & **(K\%)** & **Avg (K\%)** \\ \hline
1 & **50.0** & 23.1 & 33.3 \\
2 & **46.2** & **46.2** & 41.7 \\
3 & **46.2** & 23.1 & 30.8 \\
4 & 30.8 & 46.2 & **76.9** \\
5 & 30.8 & 38.5 & **46.2** \\
6 & **61.5** & 23.1 & **61.5** \\
7 & **84.6** & 46.2 & 61.5 \\
8 & **53.8** & 38.5 & **53.8** \\
9 & 61.5 & **69.2** & 30.8 \\
10 & 53.8 & **76.9** & 53.8 \\
11 & 38.5 & 38.5 & **69.2** \\
12 & 38.5 & **53.8** & 38.5 \\
13 & 30.8 & **46.2** & 38.5 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Subject-specific change-up command differences between belt conditions. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Player ID**} & **REGB** & **IAPB** & **IAP2** \\  & **Avg (MPH \(\Delta\))** & **Avg (MPH \(\Delta\))** & **Avg (MPH \(\Delta\))** \\ \hline
1 & 5.9 & **7.9** & 7.1 \\
2 & 6.6 & **7.1** & 6.5 \\
3 & 8.9 & 7.5 & **9.3** \\
4 & 8.1 & **8.8** & 8.1 \\
5 & 11.2 & 9.9 & **11.3** \\
6 & 9.6 & 9.3 & **9.7** \\
7 & **11.2** & 10.0 & 9.2 \\
8 & **5.9** & 5.3 & 5.1 \\
9 & 7.6 & **7.6** & 6.6 \\
10 & **10.6** & 9.7 & 9.0 \\
11 & 10.0 & 10.2 & **11.7** \\
12 & 4.8 & **5.6** & 4.3 \\
13 & **4.1** & 2.9 & 3.1 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Subject-specific differences in fastball-change velocity ranges between belt conditions. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Player ID**} & **REGB** & **IAPB** & **IAP2** \\  & **Avg (K\%)** & **Avg (MPH \(\Delta\))** & **Avg (MPH \(\Delta\))** \\ \hline
1 & 5.9 & **7.9** & 7.1 \\
2 & 6.6 & **7.1** & 6.5 \\
3 & 8.9 & 7.5 & **9.3** \\
4 & 8.1 & **8.8** & 8.1 \\
5 & 11.2 & 9.9 & **11.3** \\
6 & 9.6 & 9.3 & **9.7** \\
7 & **11.2** & 10.0 & 9.2 \\
8 & **5.9** & 5.3 & 5.1 abdominal pressure belt, yet parametric statistics did not show statistically significant findings in relation to overall group means due to the case study sample being under-powered. Belt groups: Regular IAP Belt; IAPB, 2-Inch Cinch IAP Belt; IAP2, and Regular Belt; REGB. Maximum change-up velocity for each subject in association with each belt condition.