This paper deals with methods of quality control when observation-vectors are coming from a multivariate binomial or multivariate Poisson population. The case when successive observations are time-dependent has been studied under certain assumptions. Further when a sample covariance matrix is singular or near singular, a method has been proposed for translating it into a non-singular estimate under the assumption of conditional independence. Assuming approximate normality ax2-chart has been proposed. At the end a numerical example is given to illustrate the procedure in this paper.