, Volume 25, Issue 2, pp 173–182 | Cite as

An analysis of Guttman's simplex

  • Philip H. DuBois


Applying a Spearman formula for factor loadings to a variant of the diagonal method, the Guttman simplex model is factored algebraically inton/2 additive factors. The finding that communalities can be discovered such that the rank of a simplex becomesn/2 is contradictory to Guttman's contention that the minimal rank isn — 2. Certain matrices of 4 and 5 variables presented by Guttman as simplexes, can, in general, be considered 2-factor matrices, easily analyzed to simple structure without rotation. One example of 6 variables is factored by the method described to a 3-factor structure.


Public Policy Factor Loading Statistical Theory Simple Structure Minimal Rank 
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Copyright information

© Psychometric Society 1960

Authors and Affiliations

  • Philip H. DuBois
    • 1
  1. 1.Washington UniversityUSA

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