Mokken scale analysis is a probabilistic nonparametric approach that offers statistical and graphical tools for evaluating the quality of social science measurement without placing potentially inappropriate restrictions on the structure of a data set. In particular, Mokken scaling provides a useful method for evaluating important measurement properties, such as invariance, in contexts where response processes are not well understood. Because rater-mediated assessments involve complex interactions among many variables, including assessment contexts, student artifacts, rubrics, individual rater characteristics, and others, rater-assigned scores are suitable candidates for Mokken scale analysis. The purposes of this study are to describe a suite of indices that can be used to explore the psychometric quality of data from rater-mediated assessments and to illustrate the substantive interpretation of Mokken-based statistics and displays in this context. Techniques that are commonly used in polytomous applications of Mokken scaling are adapted for use with rater-mediated assessments, with a focus on the substantive interpretation related to individual raters. Overall, the findings suggest that indices of rater monotonicity, rater scalability, and invariant rater ordering based on Mokken scaling provide diagnostic information at the level of individual raters related to the requirements for invariant measurement. These Mokken-based indices serve as an additional suite of diagnostic tools for exploring the quality of data from rater-mediated assessments that can supplement rating quality indices based on parametric models.