Decompositions and Biplots in Three-Way Correspondence Analysis
- 1 June 1996
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 61 (2) , 355-373
- https://doi.org/10.1007/bf02294344
Abstract
In this paper correspondence analysis for three-way contingency tables is presented using three-way generalisations of the singular value decomposition. It is shown that in combination with Lancaster's (1951) additive decomposition of interactions in three-way tables, a detailed analysis is possible of the deviations from independence. Finally, biplots are shown to produce powerful graphical representations of the results from three-way correspondence analyses. An example from child development is used to illustrate the theoretical developments.Keywords
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