Statistical monitoring of multivariate linear profiles

In some quality control applications, quality of a product or process can be represented by a relationship between two or more variables. This relationship is referred to as profile. However, in other practical applications, two or more profiles are required in order to model the quality of a product or process effectively. In this paper, we propose the use of a control chart scheme in phase II monitoring of multivariate linear profiles. The statistical performance of the proposed method is evaluated using a numerical example. The results reveal that the proposed method is relatively effective in detecting shifts in the process parameters.