For use with a manufacturing facility that carries out a plurality of processes, including a test process, to manufacture products, a plurality of alternative, equivalent tools being associated with each of the plurality of processes, a statistical
evaluation system and a method of statistically evaluating the manufacturing facility. In one embodiment, the
system includes: (1) a random test yield data selector configured to select test yield data on products subjected to a complete distribution randomly from the tools associated with the test process, (2) a group and grand means
calculator associated with the random test yield data selector and configured to calculate group and grand means for the selected test yield data and (3) an analysis-of-means representation generator associated with the group and grand means
calculator and configured to generate an analysis-of-means representation of at least one of the plurality of processes by plotting the group and grand means and decision limits corresponding to specific significance levels.