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Using MDS to Obtain Orientation of Item Vectors
Analysis of Real Data
0-space 6Y is measured 6Y space angle angular distances arc length association circular and spherical cluster analysis Comparison of simulated computerized corresponding defined dimensionality analysis dimensionality assessment dimensionality estimation dimensionally similar discriminating power Equal number estimated conditional covariances estimated dimensionality structures Euclidean distance examinees factor analysis Figure 4(a four-dimensional HCA/CCPROX and DETECT hypersphere item difficulty item response function item response theory item sets item's items that measure lack of simple latent space Law School Admission LSAC LSAT MDS solution multidimensional item multidimensional logistic model multidimensional scaling multidimensional test structure Newtown nonmetric number of items pattern of conditional positive conditional covariance Psychometrika Reckase remaining items represent Roussos scaling approach scaling techniques School Admission Council School Admission Test sets of items simulated and estimated simulated data Simulated dimensionality structure spherical coordinates spherical scaling stimuli subsets test items theorem Three-dimensional simple structure two-dimensional unidimensional vector length Zhang & Stout Zhang and Stout