Profile monitoring for Poisson responses

In some real case problems, the relationship between a response variable and one or more explanatory variables called as profile should be monitored over time instead of the quality characteristic itself. Profile monitoring is used in such instances. Many researches have been done in the area of profile monitoring but in most of them it is assumed that the response variable follows normal distribution. In recent years Yeh et al. (2009) proposed 5 T² based methods for monitoring logistic profiles in which response variable is binary. In this paper we evaluate two of the best T² methods for Poisson response profiles monitoring in Phase I.