Facet Theory pp 277-298 | Cite as

Partial-Order Scalogram Analysis by Base Coordinates and Lattice Mapping of the Items by Their Scalogram Roles

  • Samuel Shye
  • Reuven Amar
Part of the Springer Series in Social Psychology book series (SSSOC)

Abstract

Suppose a set P of N subjects,p 1p N , are observed with respect to n variables v 1v n , where each variable has an ordered range A k = {1, 2,⋯, α k } (k = 1,⋯,n)(α k ≥ 2). 1,2,⋯, αk are the categories of the kth variable. Moreover, suppose the order of the categories 1,⋯,αk within each range is determined by some external (content) criterion (for example, success in achievements, positive attitude toward a given object, etc.).

Keywords

Summing Yalan 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Birkhoff, G. (1948). Lattice theory(Revised ed.). American Mathematical Society, Collogquium Publications.Google Scholar
  2. Coombs, C. H. (1964). A theory of data. New York: Wiley.Google Scholar
  3. Guttman, L. (1950). The basis for scalogram analysis. In S.A. Stouffer et al., Measurement and prediction, (Vol. 4 ). Princeton: Princeton University.Google Scholar
  4. Guttman, L. (1968). A general nonmetric technique for finding the smallest coordinate space for a configuration of point. Psychometrika, 33(No. 3).Google Scholar
  5. Lingoes, J. C. (1973). The Guttman—Lingoes nonmetric program series. Ann Arbor: Mathesis.Google Scholar
  6. Shye, S. (1976). Partial order scalogram analysis of profiles and its relationship to smallest space analysis of the variables(technical monograph). Jerusalem: The Israel Institute of Applied Social Research.Google Scholar
  7. Shye, S. (1978a). Partial order scalogram analysis. In S. Shye (Ed.), Theory construction and data analysis in the behavioral sciences. San Francisco: Jossey-Bass.Google Scholar
  8. Shye, S. (1978b). A POSA generated class of distributions(research report). Jerusalem: IIASR.Google Scholar
  9. Shye, S. (1979a). The diamond family of partial order scalograms(research report). Jerusalem: IIASR.Google Scholar
  10. Shye, S. (1979b). Partial order scalogram and dimensional analysis(research report). Jerusalem: IIASR.Google Scholar
  11. Shye, S. (in press a). Scalogram theory. Jerusalem: JErusalem Academic Press.Google Scholar
  12. Shye, S. (in press b). Partial order scalogram analysis (POSA). In International encyclopedia of education. Oxford:Pergamon.Google Scholar
  13. Shye, S., & Elizur, D. (1976). Worries about deprivation of job rewards following computerization: a partial order scalogram analysis. Human Relations, 29(No. 1).Google Scholar
  14. Yalan, E., Finkel, S., Guttman, L., & Jacobsen, C. (1972). The modernization of traditional agricultural villages: Minority villages in Israel. Rehovot, Israel: Settlement Research Center.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • Samuel Shye
  • Reuven Amar

There are no affiliations available

Personalised recommendations