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March 1, 1953Psychometrika3,928 citations

A New Status Index Derived from Sociometric Analysis

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LKLeo Katz

Key Points

  • To establish a computational metric for evaluating individual social status that moves beyond basic popularity counts by factoring in the prestige of endorsers.
  • Formulated a mathematical index accounting for both the quantity and relative status of individuals who cast choices.
  • Integrated an attenuation parameter to quantify the diminishing transmission of influence across intermediary connections.
  • Demonstrated a status metric that differentiates high-status endorsements from simple high-volume popularity.
  • Modeled the mathematical decay of social influence as network distance increases across indirect intermediaries.

Abstract

For the purpose of evaluating status in a manner free from the deficiencies of popularity contest procedures, this paper presents a new method of computation which takes into account who chooses as well as how many choose. It is necessary to introduce, in this connection, the concept of attenuation in influence transmitted through intermediaries.

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Cite This Study

Leo Katz (1953) studied this question.

synapsesocial.com/papers/69d90d7ad6b712df9064f4dchttps://doi.org/10.1007/bf02289026
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Limits for the characteristic roots of a matrix1946 · 63 citations
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  4. 4Limits for the characteristic roots of a matrix. III1948 · 207 citations
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