A Generalized Linear Test Model to Monitor AR(1) Autocorrelated Polynomial Profiles

quality of a process or product can be characterized by a relationship between a response and one or more independent variables, which is typically referred to a profile. In this paper, polynomial profiles are considered where there is a first order autoregressive relation between the error terms in each profile. A remedial measure is first proposed to eliminate the effect of autocorrelation in phase-ІІ monitoring of autocorrelated profiles. Then, a control chart based on the generalized linear test (GLT) is developed to monitor coefficients of polynomial profiles along with an R-chart to monitor the error variance, the combination of which is called GLT/R chart. Then, the results obtained from GLT/R charts are compared to the prevalent method like multivariate T control chart. Average run length criterion is employed to compare the performances.

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