A Method for Detecting Structure in Sociometric Data

The authors focus on developing standardized measures for models of structure in interpersonal relations. A theorem is presented which yields expectations and variances for measures based on triads. Random models for these measures are discussed and the procedure is carried out for a model of a partial order. This model contains as special cases a number of previously suggested models, including the structural balance model of Cartwright and Harary, Davis's clustering model, and the ranked-clusters model of Davis and Leinhardt. In an illustrative exmaple, eight sociograms are analyzed and the general model is compared with the special case of ranked clusters.

[1]  F. Heider.  Attitudes and cognitive organization. , 1946, The Journal of psychology.

[2]  Selection of the Unprejudiced , 1947 .

[3]  P. Moran.  On the method of paired comparisons. , 1947, Biometrika.

[4]  L. Zeleny,et al.  Adaptation of Research Findings in Social Leadership to College Classroom Procedures , 1950 .

[5]  H. Taba,et al.  With focus on human relations , 1950 .

[6]  H. G. Landau,et al.  On dominance relations and the structure of animal societies: II. Some effects of possible social factors , 1951 .

[7]  H. Landau.  On dominance relations and the structure of animal societies: I. Effect of inherent characteristics , 1951 .

[8]  Diagnosing human relations needs , 1951 .

[9]  Carl G. Hempel,et al.  Fundamentals of Concept Formation in Empirical Science , 1952 .

[10]  H. Landau.  On dominance relations and the structure of animal societies: III The condition for a score structure , 1953 .

[11]  Margaret L. Hayes,et al.  Intergroup Attitudes and Experimental Change , 1953 .

[12]  R. Morton,et al.  Who Shall Survive? , 1954, Mental Health.

[13]  L. Katz,et al.  The number of locally restricted directed graphs , 1954 .

[14]  F. Harary,et al.  STRUCTURAL BALANCE: A GENERALIZATION OF HEIDER'S THEORY1 , 1977 .

[15]  F. Heider.  The psychology of interpersonal relations , 1958 .

[16]  L KATZ,et al.  A note on estimating the statistical significance of mutuality. , 1958, The Journal of general psychology.

[17]  S. Leinhardt,et al.  The Structure of Positive Interpersonal Relations in Small Groups. , 1967 .

[18]  M. A. Beauchamp.  Elements of mathematical sociology , 1971 .