To test for item bias, it must be determined whether an item fits the model. Two approaches to defining bias within the framework of the Rasch model are examined. One compares within-group fit mean squares and the other utilizes a between-group fit statistic. Results from both approaches overlap somewhat, but are distinct in many different but complimentary, and both may be useful to the analyst interested in both aspects of the bias issue. These two indices are by no means the only indices to be used within the Rasch model framework. Apparently, a promising alternative approach might focus on person-fit rather than item-fit. (Author/GK)