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A Binomial Test for Hierarchical Dependency

Published online by Cambridge University Press:  01 January 2025

Roland B. Guay  and
George P. McCabe
Roland B. Guay
Affiliation:
Department of Statistics, Purdue University
George P. McCabe*
Affiliation:
Department of Statistics, Purdue University
*
Requests for reprints should be sent to George P. McCabe, Statistics Department, Purdue University, West Lafayette, IN 47907.
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Abstract

A binomial test for hierarchical dependency is presented. The null hypothesis is that all members of a population who possess a certain skill are a subset of the members who possess another skill. This hypothesis is basic to the writings of several prominent theorists, such as Gagné and Piaget. The model, assumptions, formula derivations, and procedures for the test are explained. An illustrative example is also provided.

Keywords

hierarchical dependencybinomial test
Type
Original Paper
Information
Psychometrika , Volume 51 , Issue 3 , September 1986 , pp. 467 - 474
Copyright
Copyright © 1986 The Psychometric Society

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