An electronic state-to-state (StS) approach is developed to numerically simulate the nonequilibrium radiative metric measured in experiments conducted at the Electric Arc Shock Tube (EAST) facility. The present StS model solves for the electronic states of strong radiators by integrating a collisional-radiative model into the master equations, while considering both rotational nonequilibrium and vibrational nonequilibrium under a multi-temperature assumption. The StS results for radiation behind the shock waves are compared with predictions from the four-temperature quasi-steady-state (4T-QSS) model. It is found that the StS model accurately predicts the spectrally-integrated radiance in the Vis/NIR range for experimental shot 40, but it overestimates both the peak and post-peak values in the UV range for shot 37. Moreover, both the StS and 4T-QSS models exhibit discrepancies when compared to the experimental nonequilibrium radiative metrics for both shots. The analysis of electronic state populations of N2 reveals a post-shock region where the QSS assumption breaks down, and the populations deviate notably from the Boltzmann distribution until reaching equilibrium.