Multidimensional Analysis of Complex Structure: Mixtures of Class and Quantitative Variation
- 1 December 1970
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 35 (4) , 475-491
- https://doi.org/10.1007/bf02291821
Abstract
For certain kinds of structure consisting of quantitative dimensions superimposed on a discrete class structure, spatial representations can be viewed as being composed of two subspaces, the first of which reveals the discrete classes as isolated clusters and the second of which contains variation along the quantitative attributes. A numerical method is presented for rotating a multi-dimensional configuration or factor solution so that the first few axes span the space of classes and the remaining axes span the space of quantitative variation. The use of this method is then illustrated in the analysis of some experimental data.Keywords
This publication has 9 references indexed in Scilit:
- A General Nonmetric Technique for Finding the Smallest Coordinate Space for a Configuration of PointsPsychometrika, 1968
- Computer program abstractsBehavioral Science, 1967
- A Novel Application of the Coefficient of Correlation in the Isolation of Both Typal and Dimensional ConstructsEducational and Psychological Measurement, 1967
- Hierarchical clustering schemesPsychometrika, 1967
- A Geometric Interpretation of Diagnostic Data from a Digital Machine: Based on a Study of the Morris, Illinois Electronic Central Office Illinois Electronic Central OfficeBell System Technical Journal, 1966
- Distinctive Features and Errors in Short-Term Memory for English ConsonantsThe Journal of the Acoustical Society of America, 1966
- An Objective Method of Grouping Profiles by Distance Functions and its Relation to Factor AnalysisEducational and Psychological Measurement, 1960
- An Analysis of Perceptual Confusions Among Some English ConsonantsThe Journal of the Acoustical Society of America, 1955
- Discussion of a Set of Points in Terms of their Mutual DistancesPsychometrika, 1938