In this paper we introduce a new likelihood based method, called the likelihood integrated method, which is distinct from the well known integrated likelihood method. We use the likelihood integrated to propose a simple exploratory graphical analysis for the change point problem in the context of directional data. The method is applied to analysis of two real life data sets. The results obtained by application of this simple method are seen to be quite similar to those obtained earlier by different formal methods in most cases. Note: For softcopy of this paper, please contact the author(s) - email: arnab@iima.ac.in