Traditionally, quality control methodology is based on the assumption that serially-generated data are independent and normally distributed. On the basis of these assumptions the operating characteristic (OC) function of the control chart is derived after setting the control limits. But in practice, many of the basic industrial variables do not satisfy both the assumptions and hence one may doubt the validity of the inferences drawn from the control charts. In this paper the power of the control chart for the mean is examined when both the assumptions of independence and normality are not tenable. The OC function is calculated and compared with the normal population.
Singh, J. R. & Dar, A. L. (2017). Control charts for mean for non-normally correlated data. Journal of Modern Applied Statistical Methods, 16(1), 452-460. doi: 10.22237/jmasm/1493598300