## Appendix A  
\begin{table}
\begin{tabular}{l c c c c c c} \hline \hline \multirow{2}{*}{**Variable**} & \multicolumn{3}{c}{**Least Squares Mean (SE) for Group x Time Interaction**} & \multirow{2}{*}{**F**} & \multirow{2}{*}{**\(p\)-Value**} \\  & & **OEP Plus Usual Care** & & & **Usual Care** & \\  & & **Baseline** & **6 Months** & & & \\ \hline
**Single-Task Postural Sway** & & & & & & \\ \multicolumn{1}{c}{Sway Area (m\({}^{2}\)/s\({}^{4}\)) \(\vee\)} & 0.40 (0.20) & 0.16 (0.23) & 0.16 (0.07) & 0.18 (0.07) & 0.78 & 0.39 \\ \multicolumn{1}{c}{Centroidal Frequency (Hz) \(\wedge\)} & 0.93 (0.08) & 1.02 (0.09) & 0.94 (0.06) & 1.03 (0.06) & 0.01 & 0.91 \\ \multicolumn{1}{c}{Jerk (m\({}^{2}\)/s\({}^{5}\)) \(\vee\)} & 23.55 (12.09) & 12.79 (13.41) & 5.66 (4.58) & 12.17 (4.58) & 1.67 & 0.21 \\ \multicolumn{1}{c}{Sway Velocity (m/s) \(\vee\)} & 0.45 (0.10) & 0.30 (0.12) & 0.25 (0.03) & 0.22 (0.03) & 0.48 & 0.50 \\ \multicolumn{1}{c}{**Dual-Task Postural Sway**} & & & & & & \\ \multicolumn{1}{c}{Sway Area (m\({}^{2}\)/s\({}^{4}\)) \(\vee\)} & 0.35 (0.11) & 0.25 (0.14) & 0.26 (0.07) & 0.18 (0.07) & 0.01 & 0.91 \\ \multicolumn{1}{c}{Centroidal Frequency (Hz) \(\wedge\)} & 0.95 (0.08) & 1.01 (0.09) & 1.11 (0.06) & 1.13 (0.06) & 0.23 & 0.64 \\ \multicolumn{1}{c}{Jerk (m\({}^{2}\)/s\({}^{5}\)) \(\vee\)} & 26.94 (10.95) & 8.45 (13.25) & 8.90 (2.32) & 9.75 (2.32) & 1.39 & 0.28 \\ \multicolumn{1}{c}{Sway Velocity (m/s) \(\vee\)} & 0.40 (0.07) & 0.43 (0.08) & 0.25 (0.05) & 0.28 (0.05) & 0.00 & 0.99 \\
**360 Turn** & & & & & & & \\ \multicolumn{1}{c}{Turn Angle (\({}^{\circ}\)) \(\wedge\)} & 231.80 (27.21) & 217.80 (34.71) & 293.42 & 280.55 & 0.00 & 0.98 \\ \multicolumn{1}{c}{Duration (s) \(\vee\)} & 4.62 (0.34) & 4.50 (0.47) & 5.42 (0.48) & 4.93 (0.51) & 0.21 & 0.65 \\ \multicolumn{1}{c}{Turn Velocity (\({}^{\circ}\)/s) \(\wedge\)} & 105.04 (10.92) & 90.35 (13.68) & 104.82 (9.37) & 110.83 (9.90) & 1.64 & 0.22 \\ \multicolumn{1}{c}{**4 m Walk Single-Task**} & & & & & & \\ \multicolumn{1}{c}{Double-Limb Support (\%) \(\vee\)} & 33.90 (2.15) & 11.24 (2.53) & 33.01 (1.76) & 13.83 (1.83) & 0.58 & 0.46 \\ \multicolumn{1}{c}{Mid-Swing Elevation (cm) \(\wedge\)} & 1.17 (0.21) & 1.66 (0.25) & 1.18 (0.19) & 1.64 (0.19) & 0.01 & 0.92 \\ \multicolumn{1}{c}{Gait Speed (m/s) \(\wedge\)} & 0.48 (0.06) & 0.66 (0.07) & 0.50 (0.07) & 0.74 (0.07) & 0.22 & 0.64 \\ \multicolumn{1}{c}{Stride Length (m) \(\wedge\)} & 0.63 (0.06) & 0.75 (0.06) & 0.68 (0.06) & 0.81 (0.06) & 0.01 & 0.92 \\ \multicolumn{1}{c}{Medial–Lateral Trunk Range of} & 3.79 (0.42) & 4.25 (0.45) & 4.30 (0.55) & 3.84 (0.55) & 3.17 & 0.09 \\ \multicolumn{1}{c}{Motion (\({}^{\circ}\)) \(\wedge\)} & & & & & & \\ \multicolumn{1}{c}{**4 m Walk Dual-Task**} & & & & & & \\ \multicolumn{1}{c}{Double-Limb Support (\%) \(\vee\)} & 38.74 (1.72) & 32.06 (1.89) & 38.85 (1.84) & 32.80 (1.91) & 0.03 & 0.86 \\ \multicolumn{1}{c}{Mid-Swing Elevation (cm) \(\wedge\)} & 0.98 (0.20) & 1.45 (0.21) & 0.76 (0.40) & 1.71 (0.41) & 0.55 & 0.47 \\ \multicolumn{1}{c}{Gait Speed (m/s) \(\wedge\)} & 0.35 (0.05) & 0.49 (0.05) & 0.34 (0.18) & 0.75 (0.18) & 0.97 & 0.34 \\ \multicolumn{1}{c}{Stride Length (m) \(\wedge\)} & 0.50 (0.06) & 0.67 (0.06) & 0.54 (0.11) & 0.78 (0.11) & 0.13 & 0.73 \\ \multicolumn{1}{c}{Medial–Lateral Trunk Range of} & 3.35 (0.33) & 3.71 (0.36) & 4.17 (0.52) & 4.37 (0.52) & 0.11 & 0.74 \\ \multicolumn{1}{c}{Motion (\({}^{\circ}\)) \(\wedge\)} & & & & & & \\ \multicolumn{1}{c}{**TUG Single-Task**} & & & & & & \\ \multicolumn{1}{c}{Duration (s) \(\vee\)} & 30.88 (5.02) & 27.66 (5.14) & 23.10 (2.31) & 20.90 (2.31) & 0.16 & 0.70 \\ \multicolumn{1}{c}{Sit-to-Stand Lean Angle (\({}^{\circ}\)) \(\wedge\)} & 36.37 (3.17) & 30.99 (3.72) & 35.94 (3.74) & 32.91 (3.75) & 0.21 & 0.65 \\ \multicolumn{1}{c}{Turn Angle (\({}^{\circ}\)) \(\vee\)} & 129.43 (9.62) & 149.28 (9.90) & 143.74 (7.68) & 149.53 (7.68) & 1.99 & 0.18 \\ \multicolumn{1}{c}{Turn Duration (s) \(\vee\)} & 3.06 (0.25) & 3.51 (0.26) & 3.38 (0.16) & 3.19 (0.16) & 3.37 & 0.09 \\ \multicolumn{1}{c}{Tumor Velocity (\({}^{\circ}\)/s) \(\wedge\)} & 84.96 (9.84) & 105.33 (9.92) & 88.67 (6.46) & 101.13 (6.46) & 1.69 & 0.21 \\ \multicolumn{1}{c}{**TUG Dual-Task**} & & & & & & \\ \multicolumn{1}{c}{Queration (s) \(\vee\)} & 37.35 (4.54) & 26.49 (4.80) & 37.10 (4.39) & 28.17 (4.33) & 0.19 & 0.67 \\ \multicolumn{1}{c}{Sit-to-Stand Lean Angle (\({}^{\circ}\)) \(\wedge\)} & 36.26 (4.19) & 30.03 (4.93) & 34.