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American Journal of Epidemiology Vol. 87, No. 3: 609-615
Copyright © 1968 by The Johns Hopkins University School of Hygiene and Public Health


research-article

A NOTE OF THE INTERPRETATION OF THE RIDIT AS A QUANTILE RANK1

SEYMOUR KANTOR, WARREN WINKELSTEIN, JR. and MICHEL A. IBRAHIM

Reprint requests to 2211 Main 8treet, Buffalo, New York 14214, USA. (Mr. S. Kantor).

Kantor, S. (2211 Main St., Buffalo, N. Y. 14214), W. Winkektein, Jr. and M. A. Ibrahim. A note on the interpretation of the rid it as a quantile rank. Amer. J. Epid., 1968, 87: 609–615.—Ridit analysis was introduced by Bross to summarize data which cannot be optimally described by means of a nominal classification but do tot satisfy the requirements of a refined measurement system. Although alluding \o the ridit's relationship to rank-order statistics, Bross did not describe the precise lature of this relationship. The importance of such a description is underscored by the understandable reluctance of epidemiologists to utilize a statistic whose explicit meaning is unclear or overly abstract. The precise relationship is as Follows: in ranking an array of observations, the quantile (or percentile) rank is *he proportion of observations lying below the corresponding integer rank (adjusted upward one-half unit). In ordered categorical data each category may be represented numerically by an integer rank. If, in addition. It is desired to make he value of the category's rank proportionate to the number of observations it rontalnj, one can assign to the category the Median or Mean of the intra-category ranks. Correspondingry, the average quantile rank, or ridit, is the proportion of observations lying below the average integer rank of each category.


1 From the Department of Preventive Medicine, State University of New York at Buffalo, School of Medicine. This research was supported by U.S. Public Health Service Grant CD-00135-fronrthe National Center for Chronic Disease Control and Research Career Program Award HE-K3–6666 (W.W., Jr.) from the National Heart Institute. Reprint requests to 2211 Main Street, Buffalo, New York 14214, U.S.A. (Mr. S. Kantor).


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