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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
Peer reviewed Peer reviewed
Ramsay, J. O. – Psychometrika, 1980
In studies involving judgments of similarity or dissimilarity, a variety of other variables may also be measured. In such cases, there are important advantages to joint analyses of the dissimilarity and collateral variables. A variety of models are described for relating these and algorithms are described for fitting these to data. (Author/JKS)
Descriptors: Data Analysis, Guessing (Tests), Mathematical Models, Measurement Techniques
Peer reviewed Peer reviewed
Bechtel, Gordon G.; And Others – Psychometrika, 1971
Contains a solution for the multidimensional scaling of pairwise choice when individuals are represented as dimensional weights. The analysis supplies an exact least squares solution and estimates of group unscalability parameters. (DG)
Descriptors: Data Analysis, Mathematical Models, Measurement Techniques, Multidimensional Scaling
Peer reviewed Peer reviewed
MacCallum, Robert C. – Psychometrika, 1976
Concerned with consequences of employing the INDSCAL model when one of its assumptions are known to be violated. Under study is the notion that all individuals perceive the object space dimensions to be independent. (RC)
Descriptors: Factor Analysis, Goodness of Fit, Individual Differences, Mathematical Models
Peer reviewed Peer reviewed
And Others; Takane, Yoshio – Psychometrika, 1980
An individual differences additive model is discussed which represents individual differences in additivity by differential weighting or additive factors. A procedure for estimating model parameters for various data measurement characteristics is developed. The method is found to be very useful in describing certain types of developmental change…
Descriptors: Algorithms, Data Analysis, Least Squares Statistics, Mathematical Models
Peer reviewed Peer reviewed
Meulman, Jacqueline J.; Verboon, Peter – Psychometrika, 1993
Points of view analysis, as a way to deal with individual differences in multidimensional scaling, was largely supplanted by the weighted Euclidean model. It is argued that the approach deserves new attention, especially as a technique to analyze group differences. A streamlined and integrated process is proposed. (SLD)
Descriptors: Cluster Grouping, Equations (Mathematics), Graphs, Groups
Peer reviewed Peer reviewed
Subkoviak, Michael J. – Review of Educational Research, 1975
Illustrated is the power of multidimensional scaling in reducing a complex set of proximity measures to a simple geometric picture that shows the relationship among data objects. Methods are discussed for determining the number of dimensions needed to represent a set. (Author/DEP)
Descriptors: Educational Research, Evaluation Methods, Factor Analysis, Mathematical Models
Peer reviewed Peer reviewed
Schonemann, Peter H.; And Others – Multivariate Behavioral Research, 1975
Descriptors: Algorithms, Data Analysis, Dimensional Preference, Individual Differences
Wender, Karl – 1970
Models for multidimensional scaling use metric spaces with additive difference metrics. Two important properties of additive difference metrics are decomposability and intradimensional subtractivity. A prediction was derived from these properties and tested experimentally. Eleven non-psychology students were used as subjects. Rectangles varying in…
Descriptors: Geometric Concepts, Mathematical Models, Multidimensional Scaling, Research Methodology
McKinley, Robert L.; Reckase, Mark D. – 1982
The usefulness of the general Rasch model for multidimensional data, from the most simple formulations to the more complex versions of the model, is explored. Also investigated was whether the parameters of the models could be readily interpreted. Models investigated included: (1) the vector model; (2) the product term model; (3) the vector and…
Descriptors: Data Analysis, Factor Analysis, Goodness of Fit, Latent Trait Theory
Doody, Evelyn N. – 1985
The effects of varying degrees of correlation between abilities and of various correlation configurations between item parameters on ability and item parameter estimation using the three parameter logistic model were examined. Ten two-trait configurations and one unidimensional test configuration for 30 item tests were simulated. Each…
Descriptors: Computer Simulation, Estimation (Mathematics), Factor Structure, Item Analysis
Peer reviewed Peer reviewed
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
Sireci, Stephen G.; Geisinger, Kurt – 1993
Various methods used to assess the content of a test are reviewed, and a new procedure designed to improve on these methods is presented. The two tests considered are a professional licensure examination, the auditing section of the Uniform Certified Public Accountant Examination, and an educational achievement test, a nationally standardized…
Descriptors: Achievement Tests, Certified Public Accountants, Cluster Analysis, Content Analysis