Multivariate models for the triangular and duo-trio methods are described, and theoretical methods are compared to a Monte Carlo simulation. Implications are discussed for a new theory of multidimensional scaling which challenges the traditional assumption that proximity measures and perceptual distances are monotonically related. (Author/GDC)

To avoid reduction in observational data resulting from correlational techniques for analyzing interpersonal interactions, a data-transformation method based on multidimensional scaling techniques was applied to the Family Interaction Coding System. Two resulting dimensions, prosocial-deviance and high-low involvement, were applied to observations…

Under conditions commonly met in optimal scaling problems, arbitrary sets of optimal weights can be obtained by choices of generalized universe scores. It is suggested that the invariant parameters of optimal scaling should be interpreted according to latent trait theory, rather than the arbitrary weights. (Author/JKS)

An experimental procedure involving interaction between subject and computer was used to determine an opitmum subset of stimuli for multidimensional scaling (MDS). A computer program evaluated this procedure compared with MDS based on (a) all pairs of stimuli, and (b) on one-third of the possible pairs. The new method was better. (Author/HG)

A maximum likelihood procedure is developed for multidimensional scaling where similarity or dissimilarity measures are taken by such ranking procedures as the method of conditional rank orders or the method of triadic combinations. An example is given. (Author/JKS)

A method for the least squares regression of one squared variable on a second squared variable when the relationship between the original variables is linear is given. The problem arises in multidimensional scaling algorithms. (Author/JKS)

A strategy for reordering the hierarchical tree structure is presented. While the order of terminal nodes of Johnson's procedure is arbitrary, this procedure will rearrange every triad of nodes under a common least upper node so that the middle node is nonarbitrarily closest to the anchored node. (Author/CTM)

Based on a simple nonparametric procedure for comparing two proximity matrices (matrices which represent the similarities among a set of objects), a measure of concordance (agreement) is introduced that is appropriate when K independent proximity matrices are available. (Author/JKS)

Cross-validation procedures are proposed as a supplement to significance testing for external analysis of models relating stimulus preferences to known multidimensional scale values (Preference models). Examples of the usefulness of the validation procedures are provided. (Author/JKS)

The solution of weakly constrained regression problems typically requires the iterative search, in a given interval, of a point where a certain function has a zero derivative. This note deals with improved bounds for the interval to be searched. (Author)

Faculty perceptions of 28 academic behaviors were explored using multidimensional scaling of pairwise similarity ratings, a methodology that does not impose the researchers' a priori conceptions of the relevant dimension. Results indicated that faculty perceive academically dishonest behavior in two dimensions: seriousness and paper versus exams.…

Discusses ways in which multidimensional scaling can be used by counseling practitioners. Presents brief conceptual overview and describes application of multidimensional scaling in vocational, family, and group settings. Includes a case study of the author's use of multidimensional scaling as an intervention in counselor training groups. Also…

Several methodological issues in the multidimensional scaling of coarse dissimilarities were studied, examining whether it was better to scale dissimilarity data directly or to scale a new matrix derived from the original by row comparisons. Findings support an alternative row-comparison measure based on the Jacard coefficient. (SLD)

Some three-way factor analysis and multidimensional scaling models incorporate the principle of parallel proportional profiles of R. B. Cattell. Proof is presented for a unique axis orientation for a more general parallel profiles model that incorporates interacting dimensions. Special cases of PARAFAC2 and CANDECOMP models are discussed. (SLD)

Throughout the 25-year history of research on stimulus equivalence, one feature of the training procedure has remained constant, namely, the requirement of operant responding during the training procedures. The present investigation compared the traditional match-to-sample (MTS) training with a more recent respondent-type (ReT) procedure. Another…