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Inference Procedures for Ordering Theory

Author

Listed:
  • Frank B. Baker
  • Lawrence J. Hubert

Abstract

Given observations on a set of n dichotomously scored test items representing certain skills or tasks, ordering theory attempts to identify a hierarchical organization among the n items. Using this basic framework, a directed graph representation for the empirically obtained hierarchy is discussed along with several assumptions that are necessary from a substantive point of view to justify the analysis that ordering theory provides. Furthermore, a permutation test procedure is introduced that allows a formal comparison of a postulated hierarchy among the n items to the hierarchy elicited from the available data set.

Suggested Citation

  • Frank B. Baker & Lawrence J. Hubert, 1977. "Inference Procedures for Ordering Theory," Journal of Educational and Behavioral Statistics, , vol. 2(3), pages 217-232, September.
    • Handle: RePEc:sae:jedbes:v:2:y:1977:i:3:p:217-232
    DOI: 10.3102/10769986002003217
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