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Educational and Psychological Measurement
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On Rotation of a Johnson Hierarchical Tree Structure

Oliver C.S. Tzeng

School of Science Indiana University-Purdue University

William H. May

University of Illinois at Urbana-Champaign

A strategy for reordering the hierarchical tree structure is presented. While the order of terminal nodes of Johnson's (1967) procedure is arbitrary, depending simply upon the order of input data, the present procedure will rearrange every triad of nodes under a common least upper node at all levels so that the node in the middle is always non-arbitrarily closest to the anchored node. Solutions for data from Miller and Nicely (1955) by Johnson and two rotational schemes are discussed.

Educational and Psychological Measurement, Vol. 39, No. 4, 733-741 (1979)
DOI: 10.1177/001316447903900405
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