Add to ORKGMeasurement systems analysis (MSA) is typically conducted on a single quality characteristic. Multiple characteristics processes are by now so common that studies concerning measurement systems analysis cannot be restricted to the univariate framework. This paper deals with the precision of multivariate measurement systems.We discuss three multivariate MSA-approval criteria proposed in literature. We examine the problems that affect these metrics emphasizing that these issues can lead to difficulties in determining whether measurement systems will perform adequately. To help in reducing these problems we propose and discuss a statistical test for assessing measurement systems. The results suggest that the proposed test is useful for ...