Vanishing tetrad differences and model structure

Research output: Contribution to journalArticlepeer-review


The tetrad representation theorem, due to Spirtes, Glymour, and Scheines (1993), gives a graphical condition necessary and sufficient for the vanishing of an individual tetrad difference in a recursive path model with uncorrelated errors. In this paper, we generalize their result from individual tetrad differences to sets of tetrad differences of a certain form, and we simplify their proof. The generalization allows tighter constraints to be placed on the set of models compatible with given data and thereby facilitates the search for parsimonious models for large data sets.

Original languageEnglish (US)
Pages (from-to)209-224
Number of pages16
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Issue number3
StatePublished - Jun 1996

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Information Systems
  • Artificial Intelligence


  • Choke point
  • Collider
  • Directed acyclic graph
  • Model search
  • Path analysis
  • Tetrad difference
  • Trek


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