We have developed new computer programs for evaluation of uncertainty in measurement. One of the programs is to perform the analysis of variances (ANOVA) in which the expression for expectation of each variance can be symbolically generated. This software is expected to greatly reduce labor required in uncertainty evaluations.

The other program is to evaluate the uncertainty of gear tooth profile measurement using Monte Carlo simulation. We formulated a geometrical model for a gear measurement machine, and constructed a "virtual-machine" in a computer. The uncertainty of gear tooth profile measurement is calculated from the geometrical errors of the virtual-machine. This program can be applied to most of the gear measurement machines.