Abstract
Latent partition analysis has been formulated to study the relationships between two or more partitions of the same set of items. The major structural hypothesis is that a latent partition underlies the manifest partitions; that is, it is assumed that each item belongs to a latent category and that the manifest categories are derived by dividing and combining the latent categories. We have found that by examining manifest categories it is possible to reconstruct information about the latent partition and about its relation to the manifest partitions.
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References
Harris, Chester W. and Kaiser, Henry F. Oblique factor analytic solutions by orthogonal transformations.Psychometrika, 1964,29, 347–362.
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The research reported herein was originally supported through the U. S. O. E. Cooperative Research Project 5-1005-2-12-1, directed by Donald M. Miller, at the Instructional Research Laboratory, University of Wisconsin. Further work has been supported by the National Science Foundation Grant No. GS-1025 at The University of Chicago. The author wishes to acknowledge the invaluable assistance of Richard G. Wolfe in the final statement of the theory and the assistance of Robert M. Pruzek in certain early formulations.
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Wiley, D.E. Latent partition analysis. Psychometrika 32, 183–193 (1967). https://doi.org/10.1007/BF02289425
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DOI: https://doi.org/10.1007/BF02289425