This paper presents the author's critique on Xiaoming Xi's article, "How do we go about investigating test fairness?," which lays out a broad framework for studying fairness as comparable validity across groups within the population of interest. Xi proposes to develop a fairness argument that would identify and evaluate potential fairness-based…

This paper provides a summary of a novel and integrated way to think about the item response models (most often used in measurement applications in social science areas such as psychology, education, and especially testing of various kinds) from the viewpoint of the statistical theory of generalized linear and nonlinear mixed models. In addition,…