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In the paper proposed we will make use of the gradient flow approach to consider a generalization of the well-known oblique Procrustes rotation problem, involving oblique simple structure rotation of both the core and component matrices resulting from three-mode factor analysis. The standard...
A study was undertaken to construct a descriptive model of both simultaneous contrast illusions and the figural after-effects in terms of a Riemannian space with Riemann-Christoffel curvature tensor. This differential-geometrical model was applied to the illusion of concentric circles (the...
The forced classification procedure of dual scaling can be regarded as discriminant analysis for categorical data. Although its procedure is simple, there are a number of interesting, but hidden, characteristics. This study employs dual scaling of the contingency table and that of projection to...
This paper considers a method for measuring causal effects of factors in recursive causal systems described by hierarchical loglinear models. The total, direct and indirect effects of factors are defined by loglinear model parameters. A numerical example is also given to illustrate the present...
A latent variable model for observed variables representing frequencies is proposed. The data type for the model is a subjects by variables two-way frequency table. The model has two groups of latent variables. The first group of latent variables represents the characteristics of subjects and...
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