Methods to generate random correlation matrices have been proposed in the literature, but very few instances exist where these correlation matrices are structured or where the statistical properties of the algorithms are known. By relying on the tetrad relation discovered by Spearman and the properties of the beta distribution, an algorithm is…

Koretz, in his article published in this issue, provides compelling arguments that the high stakes currently associated with accountability testing lead to behavioral changes in students, teachers, and other stakeholders that often have negative consequences, such as inflated scores. Koretz goes on to argue that these negative consequences require…

Paul E. Newton provides an insightful and scholarly overview of central issues in validity theory. As he notes, many of the conceptual problems in validity theory derive from the fact that the word "validity" has two meanings. First, it indicates "whether a test measures what it purports to measure." This is a factual claim about the psychometric…

In this commentary, the authors discuss some of the issues regarding the use of diagnostic classification models that practitioners should keep in mind. In the authors experience, these issues are not as well known as they should be. The authors then provide recommendations on diagnostic scoring.

According to Schilling, Blunk, and Hill, the set of papers presented in this journal issue had two main purposes: (1) to use an argument-based approach to evaluate the validity of the tests of mathematical knowledge for teaching (MKT), and (2) to critically assess the author's version of an argument-based approach to validation (Kane, 2001, 2004).…