Abstract: The uniform design was used to design the experiments, and the grey correlation analysis of grey theory was used to analyze the primary and secondary factors of slope stability. The results show that sensitivity factors of the slope stability are cohesion, internal friction angle, unit weight, prestress, inter-row spacing of the anchor, the length of cable, length of bond part and anchorage angle which take turns from the most important to less. It is easy to see that the shear strength parameters of rock are the most important factors that affect slope stability, next is the unit weight; and the design parameters of prestressed anchorage also have effect on slope stability. The results show a profound impact on design of the slope excavation and optimization of the reinforcement.

Key words: uniform design, grey theory, grey-correlation analysis, slope stability