Determination of sampling errors in natural stone plates through Single Linkage Cluster Method

In this study, the variations in the thicknesses of the plates cut from natural stone blocks with a circular saw block cutter machine have been investigated using Range (R) control charts. Erratic data caused by sampling errors in range values were encountered when these charts are examined. Erratic data among the range values were determined by Single Linkage Cluster Method and were eliminated from the processes. After the erratic data were sorted out, the parameters concerning the R control charts were recalculated and the charts were reconstructed. Using the reformed R control charts, it was shown that the processes are better than the previous R control charts. Finally, it was determined that the erratic data caused by sampling errors could reliably be estimated by the Single Linkage Cluster Method.