Control Chart T2Qv for Statistical Control of Multivariate Processes with Qualitative Variables

The scientific literature is abundant regarding control charts in multivariate environments for numerical and mixed data; however, there are few publications qualitative data. Qualitative variables provide valuable information on processes various industrial, productive, technological, health contexts. Social no exception. There multiple nominal ordinal categorical used economics, psychology, law, sociology, education, whose analysis adds value to decision-making; therefore, their representation would be useful. When many variables, a risk of redundant or excessive information, so the application methods dimension reduction retain latent i.e., recombination original synthesizing most viable. In this context, T2Qv chart presented as statistical process technique that performs an data through Multiple Correspondence Analysis (MCA), Hotelling T2 chart. interpretation out-of-control points carried out by comparing MCA analyzing χ2 distance between categories concatenated table those represent points. Sensitivity determined well when working with high dimensions. To test methodology, was performed simulated real case applied graduate follow-up context higher education. facilitate dissemination proposal, reproducible computational package developed R, called T2Qv, available Comprehensive R Archive Network (CRAN).