Constraint Analysis in Structure Modelling: A Probabilistic Approach

  • A. P. J. Abrahamse
Part of the NATO Conference Series book series (NATOCS, volume 5)


Broekstra [1] introduced the use of information theoretic quantities in structure modelling. The basic idea is that in any statistically analysable system of variables, the effects of some variables on others are reflected statistically as non-independence of the variables involved. This deviation from independence is indicated by the term “constraint.”


Conditional Distribution Direct Relation Royal Statistical Society Conditional Dependence Indirect Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    G. Broekstra, Structure Modelling: “A Constraint (Information) Analytic Approach,” forthcoming 1977.Google Scholar
  2. 2.
    W. A. Wallis and H. V. Roberts, Statistics: A New Approach. The Free Press, New York, 1965.Google Scholar
  3. 3.
    W. J. Dixon and F. J. Massey, Jr., Introduction to Statistical Analysis, McGraw-Hill, New York, 1969.Google Scholar
  4. 4.
    M. S. Bartlett, “Contingency Table Interactions,” Journal of the Royal Statistical Society, Suppl., 2, pp. 248–252, 1935.Google Scholar
  5. 5.
    E. H. Simpson, “The Interpretation of Interaction in Contingency Tables,” Journal of the Royal Statistical Society B, 13, No. 2, pp. 238–241, 1951.Google Scholar
  6. 6.
    R. L. Plackett, “A Note on Interaction in Contingency Tables,” Journal of the Royal Statistical Society B, No. 1, pp. 162–166, 1962.Google Scholar
  7. 7.
    R. C. Conant, “Laws of Information Which Govern Systems,” IEEE Transactions on Systems, Man, and Cybernetics, 6, No. 4, April 1976.Google Scholar
  8. 8.
    H. M. Blalock, “Four-Variable Causal Models and Partial Correlations,” The American Journal of Sociology, 68, pp. 182–194, 1962.CrossRefGoogle Scholar
  9. 9.
    F. A. Graybill, An Introduction to Linear Statistical Models, McGraw-Hill, New York, 1961.Google Scholar
  10. 10.
    A. P. J. Abrahamse, Constraint Analysis on Structure Modelling: A Probabilistic Approach, Report R/77/26, Graduate School of Management, Delft.Google Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • A. P. J. Abrahamse
    • 1
  1. 1.Graduate School of ManagementDelftThe Netherlands

Personalised recommendations