Abstract
When we control a manufacturing process, a suitable statistical method has been adopted. Recently, the development of computer hardware and statistical software becomes to use the complex statistical models such as the mixed linear models and structural equation models. However, it can not easily analyze the multi-level structured data because the computational or model specification difficulty. Goldstein (1986) and Goldstein and McDonald (1988) developed mixture linear models and described the excellent algorithm to fit the model to real data. In this paper, we describe to use the extended model in multivariate multi-level structured data and propose an algorithm to use the model. Our applications to real data show the possibility of the use in the fields of the statistical process control or the statistical quality control.