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Krus, David J.; Weiss, David J. – Multivariate Behavioral Research, 1976
Results of empirical comparisons of an inferential model of order analysis with factor analytic models were reported for two sets of data. On the prestructured data set both order and factor analytic models returned its dimensions of length, width and height, but on the random data set the factor analytic models indicated the presence of…
Descriptors: Comparative Analysis, Data Analysis, Factor Analysis, Mathematical Models
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Boik, Robert J. – Psychometrika, 1988
Both doubly multivariate and multivariate mixed models of analyzing repeated measures on multivariate responses are reviewed. Given multivariate normality, a condition called multivariate sphericity of the covariance matrix is both necessary and sufficient for the validity of the multivariate mixed model analysis. (SLD)
Descriptors: Analysis of Covariance, Equations (Mathematics), Mathematical Models, Matrices
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Fay, Temple H.; Lott, P. Aaron – International Journal of Mathematical Education in Science and Technology, 2002
This paper discusses a result of Li and Shen which proves the existence of a unique periodic solution for the differential equation x[dots above] + kx[dot above] + g(x,t) = [epsilon](t) where k is a constant; g is continuous, continuously differentiable with respect to x , and is periodic of period P in the variable t; [epsilon](t) is continuous…
Descriptors: Equations (Mathematics), Algebra, Calculus, Mathematical Logic
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Rudnitsky, Alan N. – 1977
Three approaches to the graphic representation of similarity and dissimilarity matrices are compared and contrasted. Specifically, Kruskal's multidimensional scaling, Johnson's hierarchical clustering, and Waern's graphing techniques are employed to depict, in two dimensions, data representing the structure of a set of botanical concepts. Each of…
Descriptors: Botany, Cluster Analysis, Cluster Grouping, Comparative Analysis
Borich, Gary; And Others – 1977
The issues discussed in these four papers concern the validity and generalizability of classroom observation instruments. These issues have been studied and are reported here in an attempt to better define the limits to which classroom observation instruments can be used in researching relationships between teacher behavior and student outcome.…
Descriptors: Academic Achievement, Classroom Observation Techniques, Classroom Research, Elementary Education