The evolution stages of e-government services should be well-established for more effective e-government services and more satisfied citizens. This study aims to determine factors affecting e-government services with an emphasis on demographic attributes in a developing country. Particularly, the study investigates the effectiveness of past e-government services in terms of their contribution to human life. For these purposes, the data obtained from 2011 Life Satisfaction Survey were analyzed using four distinctive ordered response models including ordered logit, generalized ordered logit, heterogeneous choice model and partial constrained generalized ordered logit models due to the natural ordering of the dependent variable. The results of this study show that there are significant relationships among the factors that influence perception of e-government, namely, current residence, educational level, and occupational sector for all models, additionally household size for heterogeneous choice model. Consequently, partial constrained generalized logit model was found to have more parsimonious than other models. This study was probably the first attempt to analyze e-government service quality using four different ordered response models in e-government research literature. The outcome of this study may provide valuable information and enable benchmarking options for future e-government policies.