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A Statistical Model for Relational Analysis

Published online by Cambridge University Press:  01 January 2025

R. Duncan Luce ,
Josiah Macy Jr.  and
Renato Tagiuri
R. Duncan Luce
Affiliation:
Massachusetts Institute of Technology
Josiah Macy Jr.
Affiliation:
Massachusetts Institute of Technology
Renato Tagiuri
Affiliation:
Harvard University
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Abstract

The diadic relationships existing in a group can be defined in terms of the members' choices, rejections, and their perceptions of being chosen and rejected. The number of possible distinct diads is 45. Formulas are given for computing the expected frequency and variance of the different diadic forms expected, when certain random factors are taken into account. These values must be known if the operation of factors other than the specified random ones is to be studied. Values obtained from two models with different assumptions are compared with empirical values. A simplified treatment is possible for groups with ten or more members.

Type
Original Paper
Information
Psychometrika , Volume 20 , Issue 4 , December 1955 , pp. 319 - 327
Copyright
Copyright © 1955 The Psychometric Society

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Footnotes

*

The present problem emerged from research undertaken as part of a project in interpersonal perception being carried out at the Laboratory of Social Relations at Harvard with the financial aid of the Office of Naval Research (Task Order N5ori-07646).

†

Now at Columbia University.

‡

Now at Johns Hopkins University.

References

Feller, W.. An introduction to probability theory and its application. Vol. 1, New York: Wiley, 1950Google Scholar
Tagiuri, R.. Relational analysis: An extension of sociometric method with emphasis upon social perception. Sociometry, 1952, 15, 91–104CrossRefGoogle Scholar
Tagiuri, R., Blake, R. R., Bruner, J. S.. Some determinants of the perception of positive and negative feelings in others. J. abnorm. soc. Psychol., 1953, 48, 585–592CrossRefGoogle ScholarPubMed