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Peer reviewedHurst, Rex L. – American Educational Research Journal, 1970
Descriptors: Correlation, Mathematical Models, Multiple Regression Analysis, Research Methodology
Peer reviewedGlaymann, Maurice – Educational Studies in Mathematics, 1970
Descriptors: Algebra, Elementary School Mathematics, Geometric Concepts, Geometry
Peer reviewedDunkum, William – Arithmetic Teacher, 1970
Descriptors: Instruction, Mathematical Models, Number Concepts, Secondary School Mathematics
Ryan, Joseph P. – New Directions for Testing and Measurement, 1983
One of the major theoretical and practical developments in testing is latent trait analysis and item response theory. This report provides a guide for practitioners in understanding, evaluating, and using these developments to meet their testing needs. (Author)
Descriptors: Guidelines, Latent Trait Theory, Mathematical Models, Measurement Techniques
Peer reviewedBattista, Michael T. – Arithmetic Teacher, 1983
The "positive-negative charge" model is described and demonstrated with all four operations on integers. Its major advantages are that it is both concrete and complete. (MNS)
Descriptors: Computation, Instructional Materials, Integers, Mathematical Models
Peer reviewedMcDonald, Roderick P. – Psychometrika, 1982
Typically, nonlinear models such as those used in the analysis of covariance structures, are not globally identifiable. Investigations of local identifiability must either yield a mapping onto the entire parameter space, or be confined to points of special interest such as the maximum likelihood point. (Author/JKS)
Descriptors: Analysis of Covariance, Mathematical Models, Maximum Likelihood Statistics, Statistical Analysis
Peer reviewedMurdock, Bennet B., Jr. – Psychological Review, 1982
A theory for storage and retrieval of associative information is presented. Items or events are represented as random vectors. Convolution is used as the storage operation, correlation as the retrieval operation. A distributed memory system is assumed. The theory applies to recognition and recall and covers both accuracy and latency. (Author/RD)
Descriptors: Association (Psychology), Mathematical Models, Memory, Recall (Psychology)
Peer reviewedWerts, C. E.; And Others – Educational and Psychological Measurement, 1981
A linear structural model for comparing quasi-Markov models across populations is demonstrated. A confirmatory factor analysis formulation of the simplex model is also developed for between group comparisons. A variety of possible applications of this approach are suggested. (Author)
Descriptors: Factor Analysis, Longitudinal Studies, Mathematical Models, Research Design
Peer reviewedWasik, John L. – Educational and Psychological Measurement, 1981
The use of segmented polynomial models is explained. Examples of design matrices of dummy variables are given for the least squares analyses of time series and discontinuity quasi-experimental research designs. Linear combinations of dummy variable vectors appear to provide tests of effects in the two quasi-experimental designs. (Author/BW)
Descriptors: Least Squares Statistics, Mathematical Models, Multiple Regression Analysis, Quasiexperimental Design
Peer reviewedVelicer, Wayne F. – Evaluation Review, 1982
A general model for prediction and association is described for the situation in which both criterion and predictor(s) are discrete variables. The approach can be employed for the general case involving any number of predictors, and the related measures of multiple and partial association are described. (Author/GK)
Descriptors: Correlation, Mathematical Models, Prediction, Predictive Validity
Peer reviewedWaller, Michael I. – Journal of Educational Measurement, 1981
A method based on the likelihood ratio procedure is presented for use in selecting a measurement model from among the Rasch, two-parameter, and three-parameter logistic latent trait models. (Author/BW)
Descriptors: Comparative Analysis, Goodness of Fit, Latent Trait Theory, Mathematical Models
Peer reviewedRogosa, David – Educational and Psychological Measurement, 1981
The form of the Johnson-Neyman region of significance is shown to be determined by the statistic for testing the null hypothesis that the population within-group regressions are parallel. Results are obtained for both simultaneous and nonsimultaneous regions of significance. (Author)
Descriptors: Hypothesis Testing, Mathematical Models, Predictor Variables, Regression (Statistics)
Peer reviewedVegelius, Jan – Educational and Psychological Measurement, 1981
The G index is a measure of the similarity between individuals over dichotomous items. Some tests for the G-index are described. For each case an example is included. (Author/GK)
Descriptors: Hypothesis Testing, Mathematical Formulas, Mathematical Models, Nonparametric Statistics
Peer reviewedKeselman, H. J.; And Others – Educational and Psychological Measurement, 1981
This paper demonstrates that multiple comparison tests using a pooled error term are dependent on the circularity assumption and shows how to compute tests which are insensitive (robust) to this assumption. (Author/GK)
Descriptors: Hypothesis Testing, Mathematical Models, Research Design, Statistical Significance
Peer reviewedHollingsworth, Holly H. – Educational and Psychological Measurement, 1981
If the null hypothesis of a one-sample test of multivariate means is rejected, the dimension of the line joining the population centroid and the hypothesized centroid can be interpreted with a linear function, using a discriminant function and the correlation of each dependent variable with a discriminant score. (Author/BW)
Descriptors: Discriminant Analysis, Hypothesis Testing, Mathematical Models, Statistical Analysis


