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A Review of Mathematical Methods in Sociometry

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  • Richard C. Roistacher

    (Center for Advanced Computation, University of Illinois at Urbana)

Abstract

Current mathematical and computer methods for the analysis of group and organizational structures of communication and evaluation are reviewed. Sociometric data collection, the detection of cliques and subgroups, sociometric index construction, and computer methods in sociometry are discussed. Clique detection methods are classified as either linkage methods, in which sociometric data are treated as a linear graph, or as distance methods, in which data are treated as a configuration of points in a space. Several linkage and distance analysis methods are discussed and compared. It is suggested that some of the methods of numerical taxonomy could be applied to the analysis of group and organizational structures.

Suggested Citation

  • Richard C. Roistacher, 1974. "A Review of Mathematical Methods in Sociometry," Sociological Methods & Research, , vol. 3(2), pages 123-171, November.
    • Handle: RePEc:sae:somere:v:3:y:1974:i:2:p:123-171
    DOI: 10.1177/004912417400300201
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    References listed on IDEAS

    as
    1. J. Kruskal, 1964. "Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis," Psychometrika, Springer;The Psychometric Society, vol. 29(1), pages 1-27, March.
    2. Stephen Johnson, 1967. "Hierarchical clustering schemes," Psychometrika, Springer;The Psychometric Society, vol. 32(3), pages 241-254, September.
    3. R. Luce, 1950. "Connectivity and generalized cliques in sociometric group structure," Psychometrika, Springer;The Psychometric Society, vol. 15(2), pages 169-190, June.
    4. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 39-43, March.
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    Cited by:

    1. Richard D. Alba, 1975. "Comment On Mathematical Models In Sociometry," Sociological Methods & Research, , vol. 3(4), pages 489-490, May.
    2. Paul W. Holland & Samuel Leinhardt, 1978. "An Omnibus Test for Social Structure Using Triads," Sociological Methods & Research, , vol. 7(2), pages 227-256, November.

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