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Krus, David J. – Educational and Psychological Measurement, 1977
Order analysis is discussed as a method for description of formal structures in multidimensional space. Its algorithm was derived using a combination of psychometric theory, formal logic theory, information theory, and graph theory concepts. The model provides for adjustment of its sensitivity to random variation. (Author/JKS)
Descriptors: Mathematical Models, Measurement, Multidimensional Scaling, Rating Scales
Tanaka, J. S. – 1981
Using Goodman's (1975) notion of quasi-independence as a method of obtaining goodness of fit measures for non-scalable types in a scalogram analysis, archival data sets were examined using available Guttman scaling techniques, recent developments in latent structure analysis, and multidimensional scaling procedures. The Stouffer-Toby (1951) data…
Descriptors: Goodness of Fit, Mathematical Models, Multidimensional Scaling, Rating Scales

Psychometrika, 1981
A single-step maximum likelihood estimation procedure is developed for multidimensional scaling of dissimilarity data measured on rating scales. The procedure can fit the euclidian distance model to the data under various assumptions about category widths and under two distributional assumptions. Practical uses of the method are demonstrated.…
Descriptors: Computer Programs, Mathematical Models, Maximum Likelihood Statistics, Multidimensional Scaling

Nishisato, Shizuhiko – Psychometrika, 1978
An alternative formulation for Guttman scaling is presented. The new formulation is described, and advantages over Guttman's formulation are detailed. The method is assumption-free and capable of multidimensional analysis. (Author/JKS)
Descriptors: Individual Differences, Mathematical Models, Measurement Techniques, Multidimensional Scaling

Levine, Joel H. – Psychometrika, 1979
Social and naturally occurring choice phenomena are often of the "pick any" type in which the number of choices made by a subject as well as the set of alternatives from which they are chosen is unconstrained. A model and scaling method for these data are introduced. (Author/JKS)
Descriptors: Data Analysis, Item Analysis, Mathematical Models, Multidimensional Scaling
Nishisato, Shizuhiko – 1978
A bibliography with approximately 1,000 references to articles on multidimensional scaling (MDS) is preceded by a summary review tracing the major developments in the areas covered, and identifying significant references in each. With the exception of a few earlier documents, the period covered is 1966 to 1978. Topics mentioned in the summary…
Descriptors: Bibliographies, Computer Programs, History, Individual Differences

Marsh, Herbert W.; Richards, Gary E. – Multivariate Behavioral Research, 1987
The factorial structure of the Rotter Internal-External (IE) scale was examined. While there was strong evidence against the unidimensionality of the Rotter scale, the findings suggested that the first-order factors do define a single higher-order construct that may represent the generalized IE construct. (Author/LMO)
Descriptors: Construct Validity, Factor Analysis, Factor Structure, Goodness of Fit