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Latent Partition Analysis

Published online by Cambridge University Press:  01 January 2025

David E. Wiley
David E. Wiley*
Affiliation:
The University of Chicago
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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.

Type
Original Paper
Information
Psychometrika , Volume 32 , Issue 2 , June 1967 , pp. 183 - 193
Copyright
Copyright © 1967 The Psychometric Society

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Footnotes

*

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.

References

Harris, Chester W. and Kaiser, Henry F. Oblique factor analytic solutions by orthogonal transformations. Psychometrika, 1964, 29, 347–362.CrossRefGoogle Scholar