Hostname: page-component-89b8bd64d-ksp62 Total loading time: 0 Render date: 2026-05-09T13:35:21.720Z Has data issue: false hasContentIssue false
  • English
  • Français

On the use of Ridit Analysis

Published online by Cambridge University Press:  01 January 2025

Jay H. Beder  and
Robert C. Heim
Jay H. Beder*
Affiliation:
University of Wisconsin-Milwaukee
Robert C. Heim*
Affiliation:
U.S. Office of Personnel Management
*
Requests for reprints should be sent to Jay H. Beder, Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI 53201 (E-mail beder@csd4.csd.uwm.edu)
Robert C. Heim, Statistical Analysis and Services Division, Rm. 7487, U.S. Oliice of Personnel Management, 1900 E St., N.W., Washington, D.C. 20415.
Get access Rights & Permissions [Opens in a new window]

Abstract

Ridit analysis is statistical method for comparing ordinal-scale responses. In this paper, the extact variance and asymptotic distribution of the average ridit is developed, including the cases in which the reference group is sampled or the comparison group is finite. The appropriate use and interpretation of ridit analysis is also discussed.

Keywords

ordinal scalecategorical scaleasymptotic normalityU-statisticranks

Information

Type
Original Paper
Information
Psychometrika , Volume 55 , Issue 4 , December 1990 , pp. 603 - 616
Copyright
Copyright © 1990 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

Footnotes

The authors wish to thank Andrew Klugh for this support, and the references and David Feigenbaum for their very helpful comments.

References

Agresti, A. (1984). Analysis of ordinal categorical data, New York: Wiley.Google Scholar
Brockett, P. L. (1981). A note on the numerical assignment of scores to ranked categorical data. Journal of Methematical Sociology, 8, 91–101.Google Scholar
Brockett, P. L., & Levine, A. (1977). On a characterization of ridits. Annals of Statistics, 5, 1245–1248.CrossRefGoogle Scholar
Bross, I. D. J. (1958). How to use ridit analysis. Biometrics, 14, 18–38.CrossRefGoogle Scholar
Cochran, W. G. (1977). Sampling techniques 3rd ed., New York: Wiley.Google Scholar
Davidson, R. C. (1984). Dissatisfaciton of women family practice residents. Family Medicine, 16, 10–12.Google Scholar
Dennis, T. B., Bore, M. D., & Terrell, G. R. (1980). Some properties of the ridit transformation. American Statistical Association. Proceedings of the statistical computation section, pp. 303–308.Google Scholar
Fleiss, J. L. (1981). Statistical methods for rates and proportions 2nd ed.,, New York: Wiley.Google Scholar
Fleiss, J. L., Chilton, N. W., & Wallenstein, S. (1979). Ridit analysis in dental clinical studies. Journal of Dental Research, 58, 2080–2084.CrossRefGoogle ScholarPubMed
Golden, L. L., & Brockett, P. L. (1987). The effect of alternative scoring methods on the analysis of rank order categorical data. Journal of Mathematical Sociology, 12, 383–414.CrossRefGoogle Scholar
Graubard, B. I., & Bork, E. L. (1987). Choice column scores for testing independence in ordered 2 ×K contingency tables. Biomertics, 43, 471–476.CrossRefGoogle ScholarPubMed
Hájek, J. (1960). Limiting distributions in simple random sampling from a finite population. Magyar Tudományos Akadémia, Matematikai Kutató Intézténk Kozlemányei, V (A, fascicle 3), 361–371.Google Scholar
Jansen, M. E. (1984). Ridit analysis: A review. Statistica Neerlandica, 38, 141–158.CrossRefGoogle Scholar
Lehman, E. L. (1975). Nonparmetrics: Statistical methods based on ranks, San Franciso: Holden-Day.Google Scholar
Levine, A., Roizen, P., Rozé, P., & Christensen, H. (1972). A mathematical method for analyzing questionnaires. Bulletin of the World Health Organization, 47, 87–97.Google Scholar
Lynch, G. W. (1978). A decision theoretic approach to ridits. Communications in Statistics-Theory and Methods, 7A, 607–614.CrossRefGoogle Scholar
Mantel, N. (1979). Ridit analysis and related ranking priocedures—Use at your own risk. American Journal of Epidemiology, 109, 25–29.CrossRefGoogle ScholarPubMed
Selvin, S. (1977). A further note on the interpretation of ridit analysis. American Journal of Epidemiology, 105, 16–20.CrossRefGoogle ScholarPubMed
Selvin, S. (1979). Reply to Mantel (1979). American Journal of Epidemiology, 109, 29–30.CrossRefGoogle Scholar
Zimmerman, S., Johnston, D. A. (1974). Nonparametric tests and ridits. Journal of Periodontal Research, 9 (Supplement 14), 193–206.CrossRefGoogle Scholar

A correction has been issued for this article:

Errata