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Boker, Steven M.; McArdle, J. J.; Neale, Michael – Structural Equation Modeling, 2002
Presents an algorithm for the production of a graphical diagram from a matrix formula in such a way that its components are logically and hierarchically arranged. The algorithm, which relies on the matrix equations of J. McArdle and R. McDonald (1984), calculates the individual path components of expected covariance between variables and…
Descriptors: Algorithms, Feedback, Matrices
Peer reviewed Peer reviewed
Leeuw, Jan De – Psychometrika, 1982
A formula for the determinant of a partitioned matrix, possibly with singular submatrices, is derived and applied to some psychometric and numerical problems. (Author)
Descriptors: Algorithms, Matrices, Statistical Studies
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Finkbeiner, C. T.; Tucker, L. R. – Psychometrika, 1982
The residual variance is often used as an approximation to the uniqueness in factor analysis. An upper bound approximation to the residual variance is presented for the case when the correlation matrix is singular. (Author/JKS)
Descriptors: Algorithms, Correlation, Factor Analysis, Matrices
Peer reviewed Peer reviewed
Mather, Laura A. – Journal of the American Society for Information Science, 2000
Discussion of models for information retrieval focuses on an application of linear algebra to text clustering, namely, a metric for measuring cluster quality based on the theory that cluster quality is proportional to the number of terms that are disjoint across the clusters. Explains term-document matrices and clustering algorithms. (Author/LRW)
Descriptors: Algorithms, Cluster Analysis, Information Retrieval, Mathematical Formulas