"Diagnostic classification models" (DCM) are frequently promoted by psychometricians as important modelling alternatives for analyzing response data in situations where multivariate classifications of respondents are made on the basis of multiple postulated latent skills. In this review paper, a definitional boundary of the space of DCM…

This article focuses on Louis Guttman's contributions to the classical theory of educational and psychological tests, one of the lesser known of his many contributions to quantitative methods in the social sciences. Guttman's work in this field provided a rigorous mathematical basis for ideas that, for many decades after Spearman's initial work,…

Educational and psychological testing textbooks typically warn of the inappropriateness of performing arithmetic operations and statistical analysis on percentiles instead of raw scores. This seems inconsistent with the well-established finding that transforming scores to ranks and using nonparametric methods often improves the validity and power…

This review employs a conceptual framework that distinguishes methods of detecting measurement bias based on either observed or unobserved conditional invariance models. The primary interest is in group-level measurement bias. Methods for bias detection in both continuous and ordered-categorical measures are reviewed, as are methods for testlets…

Textbooks that have been and are being used by students in education and psychology to learn about statistical testing are reviewed. Twenty-eight textbooks published prior to 1950 were reviewed. These textbooks were found to focus on descriptive methods, to concentrate on educational testing, and to present limited formal statistical formulation.…

The study's purpose was to use the Adjective Check List (ACL), a self-administered personality assessment instrument, to determine whether there were response differences between a sample of Adult Basic Education (ABE) students and the general test norms. The ACL was administered to 142 students in ABE high school completion programs in Des…