Summary: Traditional methods of assessing the geometric integrity of any finely engineered product requires the use of fixtures. The fit is then tested with a feeler gauge. Fixtures are expensive to construct and transport and the degree of accuracy obtained may be insufficient, depending on the tolerance specified by the procurer of the part. We discuss an alternative scientific approach to assessing geometric quality assurance. Through the use of spherical regression techniques we are able to statistically assess the spatial integrity of geometric objects described through CAD and CMM data.