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Fava, Joseph L.; Velicer, Wayne F. – Multivariate Behavioral Research, 1992
Principal component, image component, three types of factor score estimates, and one scale score method were compared over different levels of variables, saturations, sample sizes, variable to component ratios, and pattern rotations. There were virtually no overall differences among methods, with the average correlation between matched scores…
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Estimation (Mathematics)
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McDonald, Roderick P. – Psychometrika, 1986
There is a unity underlying the diversity of models for the analysis of multivariate data. Essentially, they constitute a family of models, most generally nonlinear, for structural/functional relations between variables drawn from a behavior domain. (Author)
Descriptors: Factor Analysis, Generalizability Theory, Latent Trait Theory, Mathematical Models
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Zwick, Rebecca – Journal of Educational Measurement, 1987
National Assessment of Educational Progress reading data were scaled using a unidimensional item response theory model. Bock's full-information factor analysis and Rosenbaum's test of unidimensionality were applied. Conclusions about unidimensionality for balanced incomplete block spiralled data were the same as for complete data. (Author/GDC)
Descriptors: Factor Analysis, Item Analysis, Latent Trait Theory, Mathematical Models
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Ofir, Chezy; And Others – Multivariate Behavioral Research, 1987
Three frequently used response formats are compared via analysis of covariance structures. The cumulative results based on four data sets provided evidence inconsistent with previous research suggesting that these formats are interchangeable. The semantic-differential format is most preferred while in most cases the Stapel format is least…
Descriptors: Analysis of Covariance, Factor Analysis, Hypothesis Testing, Mathematical Models
Bock, R. Darrell; Mislevy, Robert J. – New Directions for Testing and Measurement, 1981
California Assessment Program's application of matrix sampling and item response curve theory to the scaling and reporting of state assessment data is described. It is designed to express educational outcomes in an efficient and interpretable form that is both immediately informative and suited to analysis over extended periods of time.…
Descriptors: Basic Skills, Educational Assessment, Factor Analysis, Item Banks
Paulson, James A. – 1985
This paper discusses the use of latent class structure as a modelling framework for tests in which much of the data conforms to a relatively small number of systematic patterns. Application of this framework to the analysis of tests has been limited because available parameter estimation algorithms can only handle a relatively small number of…
Descriptors: Algorithms, Correlation, Estimation (Mathematics), Factor Analysis
Zwick, Rebecca – 1986
Reading test data from the National Assessment of Educational Progress (NAEP) were scaled using the unidimensional item response theory model. Data were collected for students aged 9, 13, and 17. To determine whether the responses to the reading items were consistent with unidimensionality, four different methods were applied: (1) principal…
Descriptors: Correlation, Educational Assessment, Elementary Secondary Education, Factor Analysis