Self-Starting control charts for monitoring logistic regression profiles

ABSTRACT

In some applications, quality engineers cannot monitor the processes at the beginning of the production process. Because the process parameters are unknown and there are not enough initial samples to estimate the process parameters. Self-starting control charts are applied to monitor processes at the start-up stages with no enough initial samples. In this paper, we propose three self-starting control charts to monitor a logistic regression profile which models the relationship between a binomial response variable and explanatory variables. Also, we compare the proposed control charts with each other through simulation studies in terms of average run length (ARL) criterion.

KEYWORDS:

• Average run length (ARL)
• Binomial response variable
• Logistic regression profile
• Self-starting control chart
• Short-run process

Acknowledgement

The authors are thankful to the anonymous referee for precious comments which led to improvement in the paper.