The purpose is to introduce the demand for the quality movement practice in problems associated with public health. We show both the need and application of quality monitoring, especially the need for multivariate quality concepts to reduce the costs of operating public health programs to control the flow of problems in the dynamic behavior of these systems in public health systems such as water treatment to utilize concepts associated with multivariate methods and auto correlated time series. One of the most difficult problems involves the use of multivariate quality control in the scientific and health environment. Multiple diagnoses require use of advanced techniques to arrive at complex solutions to medical and health problems. We explore these problems.