This research is concerned with the effects of scoring method, entry level, and item pool to the ability estimation precision of computerized adaptive testing (CAT). Two studies were implemented. The results of study I (English test, 100 items) suggest that Bayesian scoring methods will be better than the maximum likelihood estimation (MLE) if the prior distribution can be justified. Increasing the prior standard deviation from 1 to 2 can help overcome some of the regression problem in Bayesian estimations. When there is little information at the ability levels, expected a posterior (EAP) estimates have some advantages over maximum a posterior (MAP) estimates. At the ability levels where information is more adequate, the differences between the scoring methods decreased and MAP showed some advantages over EAP. The random entry level showed reasonably good results compared with the mean entry level. The results of study II (Biology test, 315 items) confirmed most of the predictions that study I made. When the information of the item pool increased, the differences among scoring methods decreased. If the ideal item pool is possible, the decision for the scoring method may not be as crucial. In the real world, EAP with prior SD of 2 showed the best result especially for the best result especially for the ability levels which do not have enough information.