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In this monograph, new diagnostic techniques that are developed for independent and autocorrelated multivauiscriate quality control processes are discussed. In multivariate case, when the data are autocorrelated, the problems become more complex. Hence, there is a need of work on control charts with suitable diagnostic tools when the process generates multivariate autocorrelated data. The work done in this direction is published and cited by many researchers in different fields of research. Considering the large, varied and growing audience, it is felt that there is a scope for presenting the work in the form of monograph.