Inference Procedures for Ordering Theory

Frank B. Baker and Lawrence J. Hubert

Journal of Educational and Behavioral Statistics, 1977, vol. 2, issue 3, 217-232

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.

Keywords: Ordering Theory; Nonparametric Test; Learning Hierarchy (search for similar items in EconPapers)
Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:2:y:1977:i:3:p:217-232

DOI: 10.3102/10769986002003217

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