An overview of popular software packages for conducting dimensionality assessment in multidimensional models is presented. Specifically, five popular software packages are described in terms of their capabilities to conduct dimensionality assessment with respect to the nature of analysis (exploratory or confirmatory), types of data (dichotomous,…

DIMPACK Version 1.0 for assessing test dimensionality based on a nonparametric conditional covariance approach is reviewed. This software was originally distributed by Assessment Systems Corporation and now can be freely accessed online. The software consists of Windows-based interfaces of three components: DIMTEST, DETECT, and CCPROX/HAC, which…

Douglas, Roussos, and Stout introduced the concept of differential bundle functioning (DBF) for identifying the underlying causes of differential item functioning (DIF). In this study, reference group was simulated to have higher mean ability than the focal group on a nuisance dimension, resulting in DIF for each of the multidimensional items…

For one reason or another, various sources of information, namely, ancillary variables and correlational structure of the latent abilities, which are usually available in most testing situations, are ignored in ability estimation. A general model that incorporates these sources of information is proposed in this article. The model has a general…

Describes flexible measures that relax restrictive conditional independence assumptions of latent class analysis. Dichotomous and ordered category manifest variables are viewed as discretized latent continuous variables. Discusses the relationship between the multivariate probit model proposed and the mixed Rasch model of J. Rost (1991). (SLD)

Univariate and multivariate corrections for range restriction were compared using scores of 147,288 Navy applicants on the Armed Services Vocational Aptitude Battery. Composite validities were corrected using the univariate and multivariate formulas. In general, multivariate corrections were more accurate than univariate corrections. This accuracy…

The use of general linear regression methods for the analysis of categorical data is recommended. The general linear model analysis of a 0,1 coded response variable produces estimates of the same response probabilities that might otherwise be estimated from frequencies in a multiway contingency table. (Author/CTM)

Set correlation is explored as an option in analysis of two-way contingency tables. It includes measures of strength of association, significance tests and estimation, power analysis, and computer programs. (SLD)

Path Analysis of Covariance Matrix (PACM) is described as a way to separately estimate measurement and structural models using standard least squares procedures. PACM was empirically compared to simultaneous maximum likelihood estimation and use of the LISREL computer program, and its advantages are identified. (SLD)

Mokken scale analysis (MSA) can be used to assess and build unidimensional scales from an item pool that is sensitive to multiple dimensions. These scales satisfy a set of scaling conditions, one of which follows from the model of monotone homogeneity. An important drawback of the MSA program is that the sequential item selection and scale…

This review focuses on 15 general applied multivariate textbooks that were published in the 1980s and have potential for in-class use by social and behavioral science students. The review covers content, information on previous book reviews, computer use coverage, reliance on matrices, and quality ratings. (TJH)