## 4 Research Methodology
### Radiation Effects
\begin{table}
\begin{tabular}{l l l l l l l l} \hline \hline \multirow{2}{*}{**Dependent Variable**} & \multirow{2}{*}{**Independent Variable**} & \multirow{2}{*}{_p-Value_} & \multicolumn{2}{c}{**Confidence Intervals**} & \multirow{2}{*}{_t-Value_} & \multirow{2}{*}{**SD**} & \multirow{2}{*}{**R\({}^{2}\)**} \\ \cline{5-6}  & & & **2.5\%** & & & & \\ \hline \multirow{3}{*}{PJ} & EP & 0.625 & \(-\)0.113 & 0.099 & 0.489 & 0.059 & \\  & MP & 0.001 & 0.087 & 0.356 & 3.267 & 0.072 & 0.475 \\ \cline{1-1}  & PP & 0.025 & 0.024 & 0.334 & 2.252 & 0.080 & \\ \cline{1-1} SAT & PJ & 0.000 & 0.386 & 0.542 & 11.210 & 0.041 & 0.630 \\ \hline \hline \end{tabular} Note: EP = emotional participation; MP = mental participation; PP = physical participation; PJ = perceived justice; SAT = post-recovery satisfaction.  
\end{table} 
Table 6: Structural model results. \begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c c} \hline \hline \multicolumn{1}{c}{**Part 1**} & \multicolumn{10}{c}{**Part 1**} & \multicolumn{10}{c}{**Part 1**} & \multicolumn{10}{c}{**Part 3**} \\ \hline  & \multicolumn{4}{c}{**Mean**} & \multicolumn{4}{c}{**Variance**} \\  & \multicolumn{4}{c}{**Correlation**} & \multicolumn{4}{c}{**Permutation**} & \multicolumn{4}{c}{**50.0\%**} & \multicolumn{4}{c}{**Permutation**} \\  & \multicolumn{4}{c}{**Mean**} & \multicolumn{4}{c}{**Personation**} & \multicolumn{4}{c}{**Personation**} & \multicolumn{4}{c}{**Mean**} & \multicolumn{4}{c}{**Personation**} & \multicolumn{4}{c}{**Personation**} & \multicolumn{4}{c}{**Personation**} \\  & \multicolumn{4}{c}{**Correlation**} & \multicolumn{4}{c}{**Mean**} & \multicolumn{4}{c}{**Personation**} & \multicolumn{4}{c}{**Mean**} & \multicolumn{4}{c}{**Personation**} & \multicolumn{4}{c}{**Mean**} & \multicolumn{4}{c}{**Personation**} & \multicolumn{4}{c}{**Mean**} \\  & \multicolumn{4}{c}{**Mean**} & \multicolumn{4}{c}{**Difference**} & \multicolumn{4}{c}{**Difference**} & \multicolumn{4}{c}{**Difference**} & \multicolumn{4}{c}{**Difference**} & \multicolumn{4}{c}{**Difference**} \\ \hline EP & 0.971 & 0.897 & 0.987 & 0.987 & 0.155 & \(-\)0.025 & \(-\)0.215 & 0.204 & 0.169 & \(-\)0.047 & \(-\)0.002 & \(-\)0.358 & 0.435 & 0.793 \\ MP & 0.989 & 0.989 & 0.985 & 0.102 & 0.138 & 0.005 & \(-\)0.233 & 0.224 & 0.228 & \(-\)0.105 & \(-\)0.011 & \(-\)0.396 & 0.349 & 0.099 \\ FP & 0.976 & 0.985 & 0.954 & 0.189 & 0.009 & 0.002 & \(-\)0.236 & 0.225 & 0.991 & \(-\)0.153 & \(-\)0.004 & \(-\)0.431 & 0.400 & 0.188 \\ PJ & 0.984 & 0.994 & 0.982 & 0.078 & 0.087 & 0.003 & \(-\)0.231 & 0.234 & 0.499 & \(-\)0.126 & \(-\)0.001 & \(-\)0.174 & 0.176 & 0.323 \\ \hline \hline \end{tabular} Note: EP = emotional participation; MP = mental participation; PP = physical participation; PJ = perceived justice.  
\end{table} 
Table 7: Results of measurement invariance of composite models (MICOM) permutation test. \begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multicolumn{1}{c}{**Path Coefficients**} & \multicolumn{4}{c}{**\(\kappa\)-Values**} & \multicolumn{4}{c}{**\(\mu\)-Values**} & \multicolumn{4}{c}{**Confence intervals**} \\ \hline  & \multicolumn{4}{c}{**Group 1**} & \multicolumn{4}{c}{**Group 2**} & \multicolumn{4}{c}{**Original**} & \multicolumn{4}{c}{**Personation**} & \multicolumn{4}{c}{**Group 1**} & \multicolumn{4}{c}{**Group 2**} \\  & \multicolumn{4}{c}{**Difference**} & \multicolumn{4}{c}{**Mean**} & \multicolumn{4}{c}{**Group 1**} & \multicolumn{4}{c}{**Group 2**} & \multicolumn{4}{c}{**Group 1**} & \multicolumn{4}{c}{**Group 2**} \\ \hline EP & 0.971 & 0.987 & 0.987 & 0.705 & 0.155 & \(-\)0.025 & \(-\)0.215 & 0.240 & 0.169 & \(-\)0.047 & \(-\)0.002 & \(-\)0.358 & 0.435 & 0.793 \\ MP & 0.989 & 0.985 & 0.102 & 0.138 & 0.005 & \(-\)0.233 & 0.224 & 0.228 & \(-\)0.105 & \(-\)0.