Abbas Saghaei - Islamic Azad University-Science and Research Branch
Maryam Rezazadeh-Saghaei - Parsian Quality and Productivity Research Center
Rassoul Noorossana - Iran University of Science and Technology
Mehdi Dorri - Islamic Azad University-South Tehran Branch

In many industrial and non-industrial applications the quality of a process or product is characterized by a relationship between a response variable and one or more explanatoryvariables. This relationship is referred to as prof'de. In the past decade, prof'de monitoring has been extensively studied under thenormal response variable, but it has paid a little attention to the prof'de with the non-normal response variable. In this paper, thefocus is especially on the binary response followed by the bernoulli distribution due to its application in many fields of science and engineering. Some methods have been suggested tomonitor such profiles in phase I, the modeling phase; however, no method has been proposed for monitoring them in phase II,the detecting phase. In this paper, two methods are proposed for phase II logistic prof'de monitoring. The first method is a combination of two exponentially weighted moving average (EWMA) control charts for mean and variance monitoring of the residuals defined in logistic regression models and the second method is a multivariate T2 chart to monitor model parameters. The simulation study is done to investigate the performance of the methods.

Average run length; Binary response; Logistic regression model; Profile monitoring; Statistical process control