A theoretical and numerical analysis of a Bell-type experiment is presented, where measurements are modeled using a threshold mechanism based on a sigmoid function. The experimental setup measures correlations between polarization of entangled photons, prepared in non-maximally entangled states. The numerical simulation shows the model's limitations with respect to quantum mechanical theoretical predictions, demonstrates that this strategy leads to violation of Bell's inequality, and could provide insights into the nature of spooky measurements at a distance.