A model for test scores called the profile analysis via multidimensional scaling (PAMS) model is described. The model reparameterizes the linear latent variable model in such a way that the latent variables can be interpreted in terms of profile patterns, rather than factors. The model can serve as the basis for exploratory multidimensional…

The notion of multidimensional structure is discussed within the framework of an additive component model of multidimensional scaling, where a configuration is considered to be composed of disjoint subspaces, each one of which reflects variation due to a specific stimulus component. Empirical examples are given. (Author/BW)

Milligan presented the conditions that are required for a hierarchical clustering strategy to be monotonic, based on a formula by Lance and Williams. The statement of the conditions is improved and shown to provide necessary and sufficient conditions. (Author/GK)

Hierarchical and non-hierarchical tree structures as models of similarity data are proposed and procedures for fitting both types of trees to data are discussed. Trees are viewed as intermediate between multidimensional scaling and simple clustering. Multiple tree structures and hybrid models are discussed and examples are presented. (Author/JKS)

An integrated method for rotating and rescaling a set of configurations to optimal agreement in subspaces of varying dimensionalities is developed. The approach relates existing orthogonal rotation techniques as special cases within a general framework, based on a partition of variation that provides measures of agreement. (Author/TJH)

The geometric properties and Euclidean nature of dissimilarity coefficients defined on finite sets are discussed. Several particular transformations are presented that preserve Euclideanarity. The study of a one-parameter family adds to current knowledge of the metric and Euclidean structure of coefficients based on binary data. (SLD)

Investigated the usefulness of multidimensional scaling (MDS) for assessing the dimensionality of dichotomous test data. Focused on two MDS proximity measures, one based on the PC statistic (T. Chen and M. Davidson, 1996) and other, on interitem Euclidean distances. Simulation results show that both MDS procedures correctly identify…

The purpose of this study was to develop and gather initial psychometric information on the Self-Regulated Learning Inventory for Teachers (SRLIT). The SRLIT is a self-report scale with 23 items measuring primary school teachers' realisations of self-regulated learning (SRL) practices. Information regarding the instrument's factor structure,…

A gradient method is used to obtain least squares estimates of parameters in constrained multidimensional scaling in N spaces. Features and constraints of the method and two applications of the procedure are presented. (Author/JKS)

For the ALSCAL multidimensional scaling computer program, it is reported that (1) a new coordinate estimation routine is superior to the original; (2) an oversight in the interval measurement level case has been found and corrected; and (3) a new initial configuration routine is also superior to the original. (Author/JKS)

Values were elicited spontaneously from a sample of undergraduates and adults attending college, and were compared to Rokeach's terminal and instrumental values. Multidimensional scaling revealed a simpler structure among spontaneously mentioned values than Rokeach's values. (JKS)

Nonmetric multidimensional scaling and hierarchical clustering procedures are applied to a confusion matrix of numerals. Two dimensions were interpreted: straight versus curved, and locus of curvature. Four major clusters of numerals were developed. (Author/JKS)

A variety of distributional assumptions for dissimilarity judgments in multidimensional scaling are considered, with the lognormal distribution being favored for most situations. Procedures for maximum likelihood estimation in this setting are described and examples are presented. (Author/JKS)

A new procedure for nonmetric multidimensional scaling is proposed and evaluated in this extensive article. The procedure generalizes to a wide variety of situations and types of data and is robust with respect to measurement error. The statistical development of the procedure and examples of its use are presented. (JKS)