In this paper, we propose an individual-difference model based on the models by Samejima(1969)and Andrich(1978a), that can be effectively used in the analysis of ordered categorical responses. In this model each individual has his own values of the thresholds of categories with proportional intervals.The method of maximum likelihood estimation for the parameters in the model, using Fisher's scoring method, is presented. The advantage of the model is that it is possible to estimate the thresholds' parameters even when an individual has no responses for some cate gories. Finally, an example is presented, in which the model provides productive findings.