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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
Bloxom, Bruce – Psychometrika, 1972
Paper develops a model which expresses pair comparisons as a function of (a) affective values which form a perfect simplex, (b) systematic (constant over replications) deviations from the simplex-structured affective values, and (c) errors of measurement for the pair comparisons. (Author)
Descriptors: Analysis of Covariance, Factor Structure, Goodness of Fit, Mathematical Models
Peer reviewed Peer reviewed
Takane, Yoshio – Psychometrika, 1987
Ideal point discriminant analysis (IPDA) is proposed for the analysis of contingency tables of cross-classified data. Several data sets illustrate IPDA, which combines log-linear and dual scaling models to provide a spatial representation of row and column categories and allow statistical evaluation of various structural hypotheses about…
Descriptors: Educational Diagnosis, Goodness of Fit, Mathematical Models, Multidimensional Scaling
Peer reviewed Peer reviewed
Langeheine, Rolf – Psychometrika, 1982
The degree to which Procrustean Individual Differences Scaling can be extended to related topics such as target analysis is discussed and a Monte Carlo study investigating the fit of the model under various conditions is presented. (JKS)
Descriptors: Data Analysis, Goodness of Fit, Individual Differences, Mathematical Models
Peer reviewed Peer reviewed
Winsberg, Suzanne; De Soete, Geert – Psychometrika, 1993
A weighted Euclidean distance model is proposed that incorporates a latent class approach (CLASCAL). The contribution to the distance function between two stimuli is per dimension weighted identically by all subjects in the same latent class. A model selection strategy is proposed and illustrated. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Goodness of Fit, Mathematical Models
Peer reviewed Peer reviewed
Brady, Henry E. – Psychometrika, 1985
The properties of nonmetric multidimensional scaling one explored by specifying statistical models, proving statistical consistency, and devloping hypothesis testing procedures. Statistical models with errors in the dependent and independent variables are described for quantitative and qualitative data. (Author/LMO)
Descriptors: Goodness of Fit, Hypothesis Testing, Mathematical Models, Maximum Likelihood Statistics
Peer reviewed Peer reviewed
DeSoete, Geert; Carroll, J. Douglas – Psychometrika, 1983
After introducing some extensions of a recently proposed probabilistic vector model for representing paired comparisons choice data, an iterative procedure for obtaining maximum likelihood estimates of the model parameters is developed. The possibility of testing various hypotheses is discussed and the algorithm is applied to some existing data…
Descriptors: Attitude Measures, Goodness of Fit, Mathematical Models, Maximum Likelihood Statistics
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
Isaac, Paul D.; Poor, David D. S. – Psychometrika, 1974
Descriptors: Error Patterns, Factor Analysis, Goodness of Fit, Mathematical Models
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
Peer reviewed Peer reviewed
Davison, Mark L. – Psychometrika, 1976
Proposes a quadratic programming, least squares solution to Carroll's weighted unfolding model with nonnegativity constraints imposed on weights. It can be used to test various hypotheses about the weighted unfolding model with or without constraints. (RC)
Descriptors: Algorithms, Correlation, Goodness of Fit, Hypothesis Testing
Peer reviewed Peer reviewed
Storms, Gert; Delbeke, Luc – Psychometrika, 1992
Y. Takane and J. Sergent developed a model (MAXRT) for scaling same/different judgments and response times (RTs) simultaneously. The adequacy of the assumption that RTs are distributed log-normally is considered, and the effect of a violation of this assumption is investigated via a computer simulation. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Goodness of Fit, Mathematical Models
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
Peer reviewed Peer reviewed
Sherman, Charles R. – Psychometrika, 1972
Results provide a first step toward the establishment of guidelines for the experimenter who wishes to use nonmetric multidimensional scaling effectively, especially when an underlying configuration is hypothesized. (Author)
Descriptors: Analysis of Covariance, Analysis of Variance, Evaluation, Goodness of Fit
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Rounds, James B., Jr.; And Others – 1979
Using a multidimensional scaling procedure, this study examined the fit of Holland's RIASEC hexagon model to the internal relationships among the Strong-Campbell Interest Inventory (SCII) General Occupational Theme scales. SCII intercorrelation matrices for both sexes as reported in the SCII Manual were submitted, separately for each sex, to…
Descriptors: Females, Goodness of Fit, Interest Inventories, Males
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