This paper further investigates the Experimenta Wave Intensity Analysis (EWIA) method, which the authors proposed in a previous paper. EWIA combines experimental data (internal and coupling loss factors) with Wave Intensity Analysis (WIA). This paper analyses the characteristics of the coupling matrix of EWIA models and discusses how EWIA parameters affect the coupling matrix, and thus, the energy predictions. First, the construction of the coupling matrices of EWIA, WIA, SEA and ESEA are compared. Next, the analysis focuses on the non-direct coupling loss factors characteristic of WIA and EWIA formulations by presenting a physical interpretation and comparing them with the SEA and ESEA case. Finally, the matrix condition of the methods is compared and it is shown that the WIA and EWIA tend to have higher matrix condition numbers relative to the SEA and Experimental SEA. This indicates that the WIA and EWIA methods become more sensitive to matrix operations as the complexity and size of the system increases. This paper shows that the EWIA method preserves both the computational efficiency of WIA and the simplicity of its application respect to WIA, SEA and ESEA. As a result, EWIA works well without any additional effort compared to the SEA, WIA and Experimental SEA methods.