Recently a detailed theory analyzing the dependence of the second moment and calculational time upon geometrical splitting was developed based on the direct statistical approach (DSA). The extended model refers to the application of the DSA to the case in which splitting and Russian roulette are used depending on the direction in which the particle crosses the surface, but with the limitation that any source particle reaching the detector must have crossed the surface. The results of a first attempt to use the theoretical results for the optimization of the splitting parameter on one surface in a practical problem are reported. The feasibility of the method in predicting a near optimum splitting parameter is demonstrated, and the application of the method to multiple surface problems is discussed.