SOME METHODS OF COMPARING SOCIOMETRIC MATRICES

Abstract

A function h (hierarchy index) is presented of a sociometric matrix in which each member of a group ranks all other members according to some characteristic. The value of h ranges from 0 when the members of the group are indicated by the data to be equal with respect to the characteristic in question, to 1 when the most extreme type of hierarchical relationship appears. Differences between the h values obtained from 2 sets of observations, whether from the same group or from different groups, may be tested for significance. A coefficient of agreement theta is introduced as another method of comparing the group structures associated with 2 sets of data from groups of the same size. The coefficient theta ranges from -1 when the data display opposite hierarchical characteristics, to +1 when they display the same hierarchical characteristics. The measures and h appeared to be of considerable sensitivity.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1953
Accession Number
AD0001752

Entities

People

  • Franz E. Hohn

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Agreements
  • Coefficients
  • Consistency
  • Data Displays
  • Education
  • Hierarchies
  • Illinois
  • Leadership
  • Mathematics
  • Military Research
  • Permutations
  • Probability
  • Probability Distributions
  • Ratings
  • Training
  • Universities

Readers

  • Organizational Psychology.
  • Spectroscopy.
  • Statistical inference.