Abstract: In statistical process control, some variables do not follow normal distribution. To resolve the problem of nonnormal distribution multivariable process control, based on data depth theory, a changepoint control chart is proposed. In order to draw such a chart, methodology and control process are presented for the collection of statistical data. To test the performance of the proposed method, samples that follow binary Gammadistribution are collected. It is done under different conditions with the location parameter shift ranging from 0.2 to 1.0, and change point being 14, 24, and 34, respectively. The simulation results show that, the larger the shift is, the better the performance is. When the shift is less than 0.7, the larger the change point is, the better the performance is. However, when the shift ranges from 0.1 to 0.4, the marginal effect is reduced.

Key words: change-point control chart, data depth, nonparametric multivariate control chart, statistic process control