## 5 Results' Analysis
### Structural Equation Modeling and Hypothesis Testing
These indirect effects were observed through the two mediating variables of PEU and PU. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Hypothesis**} & \multirow{2}{*}{**Indirect Effect Path**} & \multirow{2}{*}{**Estimate**} & \multicolumn{2}{c}{**Bias-Corrected 95\% CI**} & \multirow{2}{*}{_p-Value_} & \multirow{2}{*}{**Result**} \\ \cline{3-3} \cline{5-6}  & & & **Lower** & & & **Upper** \\ \hline H6 & PEV-PEU-CUI & 0.033 & 0.011 & 0.072 & 0.003 & Supported \\ H7 & IQV-PEU-CUI & 0.037 & 0.013 & 0.076 & 0.002 & Supported \\ H8 & TTV-PEU-CUI & 0.010 & \(-\)0.005 & 0.032 & 0.171 & Not Supported \\ H9 & GPV-PEU-CUI & 0.037 & 0.012 & 0.075 & 0.002 & Supported \\ H10 & GSV-PEU-CUI & 0.016 & \(-\)0.002 & 0.047 & 0.083 & Not Supported \\ H11 & PEV-PU-CUI & 0.027 & 0.007 & 0.063 & 0.004 & Supported \\ H12 & IQV-PU-CUI & 0.020 & 0.005 & 0.046 & 0.005 & Supported \\ H13 & TTV-PU-CUI & 0.016 & 0.004 & 0.041 & 0.008 & Supported \\ H14 & GPV-PU-CUI & 0.029 & 0.009 & 0.063 & 0.002 & Supported \\ H15 & GSV-PU-CUI & 0.025 & 0.007 & 0.055 & 0.002 & Supported \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Test for mediating effects. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Hypothesis** & \multicolumn{2}{c}{**Direct Effect Path**} & \multicolumn{2}{c}{**STD. Estimate**} & \multicolumn{1}{c}{**S.E.**} & \multicolumn{1}{c}{**C.R.**} & \multicolumn{1}{c}{**\(p\)-Value**} & \multicolumn{1}{c}{**Result**} \\ \hline – & PEU & \(<\)— & PEV & 0.167 & 0.047 & 2.894 & 0.004 & Supported \\ – & PEU & \(<\)— & IQV & 0.184 & 0.045 & 3.616 & *** & Supported \\ – & PEU & \(<\)— & TTV & 0.051 & 0.040 & 1.180 & 0.238 & Not Supported \\ – & PEU & \(<\)— & GPV & 0.184 & 0.066 & 3.414 & *** & Supported \\ – & PEU & \(<\)— & GSV & 0.081 & 0.047 & 1.612 & 0.107 & Not Supported \\ – & PU & \(<\)— & PEV & 0.164 & 0.051 & 3.233 & 0.001 & Supported \\ – & PU & \(<\)— & IQV & 0.121 & 0.048 & 2.716 & 0.007 & Supported \\ – & PU & \(<\)— & TTV & 0.099 & 0.043 & 2.620 & 0.009 & Supported \\ – & PU & \(<\)— & GPV & 0.174 & 0.071 & 3.647 & *** & Supported \\ – & PU & \(<\)— & GSV & 0.148 & 0.050 & 3.369 & *** & Supported \\ H1 & CUI & \(<\)— & PEV & 0.130 & 0.049 & 2.378 & 0.017 & Supported \\ H2 & CUI & \(<\)— & IQV & 0.132 & 0.046 & 2.734 & 0.006 & Supported \\ H3 & CUI & \(<\)— & TTV & 0.077 & 0.041 & 1.895 & 0.058 & Not Supported \\ H4 & CUI & \(<\)— & GPV & \(-\)0.008 & 0.068 & \(-\)0.155 & 0.877 & Not Supported \\ H5 & CUI & \(<\)— & GSV & 0.192 & 0.049 & 3.979 & *** & Supported \\ H16 & PU & \(<\)— & PEU & 0.216 & 0.051 & 5.144 & *** & Supported \\ H17 & CUI & \(<\)— & PEU & 0.199 & 0.051 & 4.261 & *** & Supported \\ H18 & CUI & \(<\)— & PU & 0.166 & 0.045 & 3.287 & 0.001 & Supported \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Test for direct effects. Specifically, for the PEU pathway, PEV (\(\beta\) = 0.033, 95% CI = 0.011-0.072, \(p\) < 0.05), IQV (\(\beta\) = 0.037, CI = 0.013-0.076, \(p\) < 0.05), and GPV (\(\beta\) = 0.037, CI = 0.012-0.075, \(p\) < 0.05) were statistically significant, thus supporting H6, H7, and H9. However, the indirect effects of TTV (\(\beta\) = 0.010) and GSV (\(\beta\) = 0.016) cross zero within their confidence intervals, rendering H8 and H10 non-significant. This pattern suggests that functional and information quality cues primarily enhance continued use by reducing the effort expectations associated with interacting with LLMs, while emotional identification and trust transfer do not significantly alter effort perceptions. In contrast, the estimated values of the mediating effect of the PU path were similar to those of the PEU (0.020-0.037), but their significance characteristics differed. All perceived value factors exhibited significant mediating effects, including PEV (\(\beta\) = 0.027, CI = 0.007-0.063, \(p\) = 0.004), IQV (\(\beta\) = 0.020, CI = 0.005-0.046, \(p\) < 0.05), TTV (\(\beta\) = 0.016, CI = 0.004-0.041, \(p\) < 0.05), GPV (\(\beta\) = 0.029, CI = 0.009-0.063, \(p\) < 0.05), and GSV (\(\beta\) = 0.025, CI = 0.007-0.055, \(p\) < 0.05).