Autocorrelation plays significant role in both time series and cross sectional data. More often than none it rendered the inference of parameter estimates invalid those other statistics that use parameters. This study investigates asymptotic behaviour generalised least squares with Autocorrelated errors cum Marcov Chain Monte Carlo simulation. Bias Mean Squares Error criteria were used to evalu...

In this paper, a remedial measure is first proposed to eliminate the effect of autocorrelation in phase-ІІ monitoring of autocorrelated polynomial profiles, where there is a first order autoregressive (AR(1)) relation between the error terms in each profile. Then, a control chart based on the generalized linear test (GLT) is proposed to monitor the coefficients of polynomial profiles and an R-c...

Monte Carlo simulation was used to determine how violation of the independence assumption affects the empirical probability distribution and Type I error rates of Revusky's Rn statistical test. Simulation results show that the probability distribution of Rn was distorted when the data were autocorrelated. A corrected Rn statistic was proposed to reach a reasonable fit between theoretical (exact...

In some statistical process control applications, 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 to monitor processes in which there is a first order autoregressive relation between the error terms in each profile. A remedi...