Guidelines for Applying Statistical Quality Control Method to Monitor Autocorrelated Prcoesses

A New Control Chart to Monitor Mean Shifts of Bi-Variate Quality Control Processes

The GLRT for statistical process control of autocorrelated processes

This paper presents an on-line Statistical Process Control (SPC) technique, based on a Generalized Likelihood Ratio Test (GLRT), for detecting and estimating mean shifts in autocorrelated processes that follow a normally distributed Autoregressive Integrated Moving Average (ARIMA) model. The GLRT is applied to the uncorrelated residuals of the appropriate time-series model. The performance of t...

Statistical Process Control for Autocorrelated Data on Grid

Assumptions of normality and independence are key assumptions made in the development and use of control charts. However for much industrial data, the assumption of independence is hard to justify. Control charts for the sample mean and sample standard deviation are obtained, when the observations are taken over a grid on a two-dimensional surface. It is assumed that the observations follow an ...

A Generalized Linear Statistical Model Approach to Monitor Profiles

Statistical process control methods for monitoring processes with univariate ormultivariate measurements are used widely when the quality variables fit to known probabilitydistributions. Some processes, however, are better characterized by a profile or a function of qualityvariables. For each profile, it is assumed that a collection of data on the response variable along withthe values of the c...

The quality control chart for monitoring multivariate autocorrelated processes

Previously, quality control and improvement researchers discussed multivariate control charts for independent processes and univariate control charts for autocorrelated processes separately. We combine the two topics and propose vector autoregressive (VAR) control charts for multivariate autocorrelated processes. In addition, we estimateAR(p) models instead ofARMAmodels for the systematic cause...