Abstract
This research investigates relationships between the block and cylindrical punch indexes (BPI and CPI) resulted from the block punch test (BP-test) and cylindrical punch test (CP-test) using statistical analyses. For this purpose, 22 rock samples, including granite, granodiorite, diorite, limestone, marble, and skarn, were collected from some quarries all over Iran. The mineralogy and the values of the BPI and CPI were determined for the samples in the laboratory. The CPI were determined using four punching cylinders with different diameters (i.e., D = 10, 13, 16, and 19 mm). Then, the BPI was correlated to the CPIs with power relations. The results indicated that the correlations between the BPI and CPIs are getting stronger with increasing of the diameter of the punching cylinder from 10 to 19 mm. Therefore, the best and weakest relations exist between BPI with CPI-19 and CPI-10, respectively. Simple regression analyses were performed, and the accuracy performance of the regression models was evaluated by developing a scoring system using five well–known statistical indexes. The results of the regression analyses completely confirmed the correlation analysis results. The general finding of the research revelated that the CP-test could be a suitable alternative for the BP-test.